Answer: 31°
Step-by-step explanation:
180° - 149° = 31°
Over what interval is the graph of f(x) = -(x + 3)? - 1 decreasing?
the interval over which the graph of f(x) = -(x + 3) - 1 is decreasing is (-∞, +∞).
What is a function?
A unique kind of relation called a function is one in which each input has precisely one output. In other words, the function produces exactly one value for each input value. The graphic above shows a relation rather than a function because one is mapped to two different values. The relation above would turn into a function, though, if one were instead mapped to a single value. Additionally, output values can be equal to input values.
The given function is:
f(x) = -(x + 3) - 1
To find the interval over which the function is decreasing, we need to find the values of x where the function's derivative is negative.
The derivative of the function is:
f'(x) = -1
The derivative is a constant, which means the function has a constant slope of -1. Since the slope is negative, the function is decreasing over its entire domain.
Therefore, the interval over which the graph of f(x) = -(x + 3) - 1 is decreasing is (-∞, +∞).
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Abi takes out a loan that gathers compound interest. The table below shows the value of the loan over time. a) What is the rate of interest per annum? Give your answer as a percentage to 1 d.p. b) Work out the value of the loan 10 years after it starts. Give your answer in pounds (£) to the nearest 1p. Start After 1 year After 2 years £2500.00 £2645.00 £2798.41
Answer:
25000
Step-by-step explanation:
Let's roll two dice and find the probability of rolling a certain sum. Is this a simple or compound event?
Two dice - Red and Blue
Recall that a simple event has one and only one outcome of interest. In this example, we are rolling two dice, but we are only interested in one outcome, the sum of the two dice. This is a simple event.
What is the probability of:
Rolling a sum of 1?
Rolling a sum of 3?
Rolling a sum of 12?
Rolling a sum of 7?
Since we are rolling a pair of dice and looking for the sum, the sample space is a little more complicated than rolling one die. The chart below will help us determine the possible outcomes. The top row indicates the numbers on the sides of the blue die and the first column represents the number on the sides of the red die. The white area indicates the sum of the numbers in the row and column.
# Rolled 1 2 3 4 5 6
1 1+1=2
1
+
1
=
2
1+2=3
1
+
2
=
3
1+3=4
1
+
3
=
4
1+4=5
1
+
4
=
5
1+5=6
1
+
5
=
6
1+6=7
1
+
6
=
7
2 2+1=3
2
+
1
=
3
2+2=4
2
+
2
=
4
2+3=5
2
+
3
=
5
2+4=6
2
+
4
=
6
2+5=7
2
+
5
=
7
2+6=8
2
+
6
=
8
3 3+1=4
3
+
1
=
4
3+2=5
3
+
2
=
5
3+3=6
3
+
3
=
6
3+4=7
3
+
4
=
7
3+5=8
3
+
5
=
8
3+6=9
3
+
6
=
9
4 4+1=5
4
+
1
=
5
4+2=6
4
+
2
=
6
4+3=7
4
+
3
=
7
4+4=8
4
+
4
=
8
4+5=9
4
+
5
=
9
4+6=10
4
+
6
=
10
5 5+1=6
5
+
1
=
6
5+2=7
5
+
2
=
7
5+3=8
5
+
3
=
8
5+4=9
5
+
4
=
9
5+5=10
5
+
5
=
10
5+6=11
5
+
6
=
11
6 6+1=7
6
+
1
=
7
6+2=8
6
+
2
=
8
6+3=9
6
+
3
=
9
6+4=10
6
+
4
=
10
6+5=11
6
+
5
=
11
6+6=12
6
+
6
=
12
How many outcomes are in the sample space? Answer
Answer:
the answer to your question how many outcomes is really gonn adepend on you you slove you problem but my amswer is gonna be 7.
Compare -2.3 and -8/3 using symbols <, >, or =.
₋2.3 < ₋8/3 is the correct answer.
Given, we need to compare the terms.
₋8/3 = ₋2.67
therefore, 2.3 is less than 2.667
hence we form it as ₋2.3 < ₋2.67
we form: ₋2.3 < ₋8/3
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Marcos talks to his grandfather in Alabama for about 95 minutes per month. About how long does he talk each day? (Hint: Use 1 month = 30 days).
Answer:
Divide 95 by 30
Step-by-step explanation:
Answer:
0.315
Step-by-step explanation:
divide talking time by number of days in month
The point P=(1/2,y)lies on the unit circle shown below. What is the value of y in simplest form?
The value of y in simplest form for the point P = (1/2, y) lying on the unit circle is y = ± √(3)/2.
To find the value of y in simplest form for the point P = (1/2, y) lying on the unit circle, we can use the equation of the unit circle, which states that for any point (x, y) on the unit circle, the following equation holds: x^2 + y^2 = 1.
Plugging in the coordinates of the point P = (1/2, y), we get:
(1/2)^2 + y^2 = 1
1/4 + y^2 = 1
y^2 = 1 - 1/4
y^2 = 3/4.
To simplify y^2 = 3/4, we take the square root of both sides:y = ± √(3/4).
Now, we need to simplify √(3/4). Since 3 and 4 share a common factor of 1, we can simplify further: y = ± √(3/4) = ± √(3)/√(4) = ± √(3)/2.
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Assume that the conclusion from an ANOVA is that the null hypothesis is rejected, in other words that the 5 population means are not all equal. We should expect that
all 10 of the comparisons of means Xi versus Xj would be significant using the Scheffe test.
at least 5 of the comparisons of means Xi versus Xj would be significant using the Scheffe test.
at least 3 of the comparisons of means Xi versus Xj would be significant using the Scheffe test.
at least 1 of the comparisons of means Xi versus Xj would be significant using the Scheffe test.
When Null hypothesis is rejected in ANOVA then we expect that at least 1 of the comparisons of means Xi versus Xj would be significant using the Scheffe test.
In an ANOVA, the absence of a mean difference is always the null hypothesis.
If the test statistic from the table exceeds the F critical value with degrees of freedom in the k-1 numerator and N-k denominator, the null hypothesis will be rejected.
The means of all the groups are not equal, one deduces if the null hypothesis is rejected. Post-hoc analyses reveal to the researcher which groups differ from one another.
The goal of an ANOVA is to find out if there is a statistically significant difference between the groups if yes then at least 1 of the comparisons of means Xi versus Xj would be significant using the Scheffe test.
Option (d) is correct
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Which choice is equivalent to the quotient below? √14/2√2 A.√7/2 B.√7/√2 C.√7 D.√7/4
Select the correct answer. Which equation matches the function shown in the graph? A waveform on a coordinate plane starts from the y-axis at 1 unit and passes through (pi, minus 1), (2 pi, 1), and (3 pi, minus 1) and intercepts the x-axis at pi by 2, 3 pi by 2, 5 pi by 2, and 7 pi by 2.
The correct equation that matches the given graph is y = cos(x) + 1.
To determine the equation that matches the given graph, we can observe the key features and points provided.
The waveform starts from the y-axis at 1 unit: This suggests that the function has a vertical shift of 1 unit upwards.
The waveform passes through (π, -1), (2π, 1), and (3π, -1): This indicates that the function oscillates between the values of -1 and 1 as x increases.
The waveform intercepts the x-axis at π/2, 3π/2, 5π/2, and 7π/2: This suggests that the function has zeros or x-intercepts at these values.
Based on these observations, the function can be represented as a cosine function.
The cosine function with a vertical shift of 1, oscillating between -1 and 1, and having zeros at π/2, 3π/2, 5π/2, and 7π/2 is:
y = cos(x) + 1
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In Exercises 4 and 5, show that the triangles are similar and write a similarity statement.
Explain your reasoning.
ΔXVZ and ΔXWY are similar by SAS property of similarity.
We have,
ΔXVZ and ΔXWY
XW/WV = XY/YZ
15/20 = 27/36
3/4 = 3/4
The ratio of two pairs of corresponding sides is equal. ______(1)
And,
m∠XWY = m∠XVZ = 90
The included angle of the two triangles is equal. ________(2)
Now,
From (1) and (2),
ΔXVZ and ΔXWY are similar.
By SAS property of similarity.
Thus,
ΔXVZ and ΔXWY are similar by SAS property of similarity.
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carla andrade has $215.25 deducted from her semimonthly pay for group health insurance rocky mountain auto parts her employer pays 60% of the cost what is the annual premium amount of carlas group health insurance?
Answer:
its 86.06
Step-by-step explanation:
Because if you subtract 215.25 minus 60% thats what you get
Answer:
$12915
Step-by-step explanation:
The Jukes bought a refrigerator for $680. They had to pay 12% down and the remainder in 24 equal installments. How much money did they pay down?
Answer:
81.6$
Step-by-step explanation:
if 100% =$680
what about 12%
Answer:
81.6$
Step-by-step explanation:
On the past two quizzes, a student scored a 75 and 83. Write and solve a compound inequality to find the possible values for the 3rd quiz score that would give her an average between 85 and 90, inclusive.
The possible values for a third quiz score that would give her an average between 85 and 90, inclusive is: 97 ≤ x ≤ 112.
How to determine the average?In Mathematics, the average of these quiz scores can be calculated by using the following formula:
Average = Sum of quiz score/Number of quiz scores
Note: Let the variable q represent the student's score on the third (3rd) quiz.
Substituting the given parameters into the formula, we have the following;
Average = (75 + 83 + q)/3
Average = (158 + q)/3
This ultimately implies that, an average between 85 and 90, inclusive is given by this compound inequality:
85 ≤ (158 + q)/3 ≤ 90
Multiplying all through by 3, we have the following:
255 ≤ (158 + q) ≤ 270
Subtracting 158 from both sides of the inequality, we have the following:
97 ≤ x ≤ 112
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Please help
__________________
Answer:
She will spend 2.66 dollars
Step-by-step explanation:
Answer:
she would spend $7.52
Step-by-step explanation:
Daisy cream is sold in a bulk of 76 cups of cream. Kremlin cream is sold in a bulk of 4 1/2 gallons of cream. Marble cream is sold in a bulk of 40 pints of cream. Which one has the most cream?
Therefore , the solution of the given problem of unitary method comes out to be Daisy cream and Kremlin cream both have less cream per bulk 1 gallon and 4.5 gallons, respectively than Marble cream.
An unitary method is what?The objective can be accomplished by utilising what has already been discovered, taking advantage of this worldwide access, and including all essential components from earlier changeable study who employed a certain technique. If the anticipated claim outcome actually occurs, it will either be possible to contact the variable again or both important processes will undoubtedly miss the statement.
Here,
We must convert cups to gallons because daisy cream is sold in bulks of cups. Since a gallon of Daisy cream comprises 16 cups, one quantity of Daisy cream contains:
=> 16 cups per bulk = 1 gallon 16 cups per bulk = 1 gallon
Moscow cream is offered in bulk quantities of 4 1/2 gallons, which is one gallon.
Thus, we must convert pints to gallons. A gallon of Marble cream comprises eight pints, hence one quantity of Marble cream contains:
=> 40 pints in a bulk equal 1 gallon, 8 pints, or 5 gallons.
As a result, we can see that Marble cream, with 5 gallons per bulk, has the most cream.
Daisy cream and Kremlin cream both have less cream per bulk (1 gallon and 4.5 gallons, respectively) than Marble cream.
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Solve |√2-y| = |y-√2|
Answer:
Step-by-step explanation:
|√2-y|=|y-√2|
√2-y=±(y-√2)
when √2-y=y-√2
y+y=√2+√2
2y=2√2
y=√2
when √2-y=-(y-√2)
√2-y=-y+√2
or 0=0
it gives no value of y.
so only possible value is y=√2
if f(x)=x+2/x^2-9 and g(x)=11/x^2+3x
A. find f(x)+g(x)
B. list all of the excluded values
C. classify each type of discontinuty
To receive credit, this must be done by Algebraic methods, not graphing
The types of discontinuities are: removable discontinuity at x = -3 and vertical asymptotes at x = 0 and x = 3.
A. To find f(x) + g(x), we add the two functions together:
f(x) + g(x) = (x + 2)/(x^2 - 9) + 11/(x^2 + 3x)
To add these fractions, we need a common denominator. The common denominator in this case is (x^2 - 9)(x^2 + 3x). So, we rewrite the fractions with the common denominator:
f(x) + g(x) = [(x + 2)(x^2 + 3x) + 11(x^2 - 9)] / [(x^2 - 9)(x^2 + 3x)]
Simplifying the numerator:
f(x) + g(x) = (x^3 + 3x^2 + 2x^2 + 6x + 11x^2 - 99) / [(x^2 - 9)(x^2 + 3x)]
Combining like terms:
f(x) + g(x) = (x^3 + 16x^2 + 6x - 99) / [(x^2 - 9)(x^2 + 3x)]
B. To find the excluded values, we look for values of x that would make the denominators zero, as division by zero is undefined. In this case, the excluded values occur when:
(x^2 - 9) = 0 --> x = -3, 3
(x^2 + 3x) = 0 --> x = 0, -3
So, the excluded values are x = -3, 0, and 3.
C. To classify each type of discontinuity, we examine the excluded values and the behavior of the function around these points.
At x = -3, we have a removable discontinuity or hole since the denominator approaches zero but the numerator doesn't. The function can be simplified and defined at this point.
At x = 0 and x = 3, we have vertical asymptotes. The function approaches positive or negative infinity as x approaches these points, indicating a vertical asymptote.
Therefore, the types of discontinuities are: removable discontinuity at x = -3 and vertical asymptotes at x = 0 and x = 3.
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1.
6 cm
6 cm
Find the surface area of the cube.
Surface Area = [?] cm²
6 cm
Answer:
The surface area of the cube is equal to 216 cm².
General Formulas and Concepts:
Geometry
Surface Area Formula [Cube]:
\(\displaystyle \text{SA} = 6a^2\)
Step-by-step explanation:
Step 1: Define
Identify given variables.
a = 6 cm
Step 2: Find Surface Area
[Surface Area Formula - Cube] Substitute in a:∴ we have found the surface area of the cube to be 216 cm².
---
Topic: Geometry
The surface area of a 3D figure is the sum of the area of its faces.
We know the following:
As this shape is a cube, all faces of a cube must be a square. The area of a square is known as (side)².All faces in a cube must have the same areaThere are 6 faces in a cubeSince all faces in a cube have the same area, the surface area of a cube is:
\(\boxed{(\text{side})^{2} + (\text{side})^{2} + (\text{side})^{2} + (\text{side})^{2} + (\text{side})^{2} + (\text{side})x^{2} = 6(\text{side})^{2}}\)
Therefore, the surface area of a cube must be known as 6(side)².
Part II: Determining the surface area of the cube\({\text{Given side length of cube:} \ |\text{6 centimeters}|\)
Substitute the side length in the surface area formula and simplify:
\(\implies 6(6)^{2}\)
\(\implies 6(6)(6)\)
\(\implies \boxed{216 \ \text{cm}^{2}}\)
Therefore, the surface area of the cube is 216 cm².
\(\overline{===============================================}\)
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An investment of R1 500 000, made two years ago, has increased in value to R1 700 000, and has delivered R40 000 worth of dividends over the two years. What is the return on the investment? 1.6% 2.16% 3.28% 4.33%
Two years ago, an investment of R1 500000 has increased to R1 700000 and has delivered R40 000 worth of dividends over the two years. Then the return on investment would be 16%.
We can use the following formula to calculate ROI:
ROI = (gain from investment - cost of investment) / cost of investment
where, gain from investment is the total value of the investment (including dividends), and cost of investment is the initial investment.
Using the values given in the question, we can calculate the ROI as:
ROI = ((R1,700,000 + R40,000) - R1,500,000) / R1,500,000 = R240,000 / R1,500,000
ROI = 0.16 or 16%
Therefore, the return on the investment is 16%.
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62 hours is what percent of 3 days?
62 hours is 86% percent of 3 days
What is percentage and how to calculate it?
Percentage is the ratio in which the denominator is 100. To calculate the percentage we multiply the obtained value by 100.
We are given 62 hours and 3 days
Now 1 day has 24 hours
Hence 3 days will have 3*24 = 72 hours
Now To find the percentage we first have to find the ratio of 62 and 72
And to do that we divide 62 by 72
we get 62/72 = 0.86
To get the percentage we multiply this value by 100
0.86 * 100= 86%
Hence, 62 is 86% of 3 days
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I WILL MARK MOST BRAINLY
Factor out the GCF from each problem (read directions)
please answer 3 questions that are on the bottom page empty
examples shown
By factoring out the GCF from each problem are ab(2a - 3b), 5a(3a - 4a³ + 2b) and 2a²c³(7a³ + ac - 3c).
What is GCF?
GCF stands for Greatest Common Factor, which is the largest number or expression that divides two or more numbers or expressions without leaving any remainder.
4) To factor it out, we divide each term by the GCF, the GCF (Greatest Common Factor) of the given terms is "ab".
2a²b ÷ ab = 2a²b/ab = 2a
-3ab² ÷ ab = -3ab²/ab = -3b
Therefore, we can write:
2a²b - 3ab² = ab(2a - 3b)
So, the factored form of the expression 2a²b - 3ab² is ab(2a - 3b).
5) To factor out the GCF (Greatest Common Factor) from the given expression:
15a² - 20a⁴ + 10ab
First, we can look for the common factors of the coefficients (15, -20, and 10), and we find that they all have a common factor of 5. So, we can factor out 5 from all three terms:
5(3a² - 4a⁴ + 2ab)
Next, we can look for the common factors of the variables (a^2 and ab), and we find that they both have a common factor of a. So, we can factor out a from all three terms:
5a(3a - 4a³ + 2b)
Therefore, the fully factored form of the given expression is 5a(3a - 4a³ + 2b)
6) To factor out the GCF (Greatest Common Factor) from the given expression, we need to find the largest possible factor that divides each term of the expression. The terms in the given expression have common factors of a and c, and the highest power of a that appears in all the terms is a², while the highest power of c that appears in all the terms is c³. So, the GCF of the given expression is 2a²c³.
We can factor it out as follows:
14a⁵c³ + 2a³c³ -6a²c⁴ = 2a²c³(7a³ + ac - 3c)
Note that we factored out a positive GCF, even though the last term is negative, because the negative sign is part of the term, not the GCF.
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given f(x)= 24x^3+14x^2-11x-6 and (2x+1) is a factor, write f(x) as a set of linear factors
The linear factors of the given polynomial is (2x+1)(4x+3) and (3x-2).
What is factorization?The factorization method uses basic factorization formula to reduce any algebraic or quadratic equation into its simpler form, where the equations are represented as the product of factors instead of expanding the brackets. The factors of any equation can be an integer, a variable, or an algebraic expression itself.
The given function is f(x)=24x³+14x²-11x-6 and one of the factor is (2x+1).
Here, 24x³+14x²-11x-6 can be written as 24x³+12x²+2x²+1x-12x-6
12x²(2x+1)+1x(2x+1)-6(2x+1)
= (2x+1)(12x²+1x-6)
= (2x+1)(12x²+1x-6)
= (2x+1)(12x²+9x-8x-6)
= (2x+1)[3x(4x+3)-2(4x+3)]
= (2x+1)(4x+3)(3x-2)
Therefore, the linear factors of the given polynomial is (2x+1)(4x+3) and (3x-2).
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A bag contain 50¢, 25¢ and 10¢ coins in the ratio 5 : 9 : 4, which amounts to $206. The number of coins of each type are
The number of 50¢ coins is 200, number of 25¢ coins is 360
and number of 10¢ coins is 160.
What is ratio?The quantitative relation between two or more amounts showing the number of times one value is contains or contained within other.
Now the given ratio is 5 : 9 : 4.
and total amount of the coins is $206.
There are three types of coins in the bag, 50¢, 25¢ and 10¢.
Suppose x be the the ratio of coins in the bag.
Hence, number of 50¢ coins = 5x
number of 25¢ coins = 9x
number of 10¢ coins = 4x
Now, given total amount = $206
and since $1 = 100¢
⇒ ($0.5)(5x) + ($0.25)(9x) + ($0.1)(4x) ¢ = $206
Solving them,
⇒ 2.5x + 2.25x + 0.4x = 206
⇒ 5.15x = 206
⇒ x = 40
Therefore,
number of 50¢ coins = 5*40 = 200
number of 25¢ coins = 9*40 = 360
number of 10¢ coins = 4*40 = 160
Hence, number of 50¢ coins is 200, number of 25¢ coins is 360
and number of 10¢ coins is 160.
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Graphing Linear Patterns 0 1 2 3 4 5 Graph A 1. Look at Graph A. b) a) 0 1 2 3 4 5 Graph B X 0 1 2 3 4 5 Graph C 01 2 3 4 5 Graph D Decide on a scale for the y-axis. What number pattern does the graph represent? Change the scale on the y-axis. Use a decimal value to represent an increase of one vertical unit. What pattern does the graph represent now?
The pattern represented by the scatter plot in Graph A are as follows;
1. a) The pattern of the graph with a scale factor of 1 unit equivalent to 1 y-value is the y-value at a point is 1 + the x-value at the specified point
b) When the scale factor is changed to 0.1 y-value unit to each unit of the graph, the pattern is each y-value is 0.1 × the x-value at the point plus 0.1
What is a scatter plot?A scatter plot is the plot of variable pairs along the two axis of a coordinate plane such that the pattern formed indicates the correlation between the values.
1. a. The values of the coordinate points of the Graph A using a scale of 1 to 1 unit of the graph are; (1, 2), (2, 3), (3, 4), (4, 5), (5, 6)
A pattern of the graph can be obtained by finding the value of the x and y values as follows;
The first difference in the y-values that is constant indicates, that the relationship is a linear relationship
The slope of the graph is; (3 - 2)/(2 - 1) = 1
The equation of the graph is therefore; y - 2 = 1 × (x - 1) = x - 1
y = x - 1 + 2 = x + 1
y = x + 1
The pattern is therefore, each value of y is equivalent to the value of x + 1
(b) Changing the scale of 1 unit on the graph to 0.1 unit of the y-value, we get; (1, 0.2), (2, 0.3), (3, 0.4), (4, 0.5), (5, 0.6)
Therefore, the slope of the graph is; (0.3 - 0.2)/(2 - 1) = 0.1
The equation of the graph is therefore; y - 0.2 = 0.1 × (x - 1)
y - 0.2 = 0.1 × (x - 1)
y - 0.2 = 0.1·x - 0.1
y = 0.1·x - 0.1 + 0.2 = 0.1·x + 0.1
y = 0.1·x + 0.1
The pattern represented by the graph after the scale is changed to a decimal value of 0.1 y-value to 1 unit of the graph is; y = 0.1·x + 0.1
Which is each y-value is 0.1 + the product of the x-value and 0.1
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Use the graph to determine the domain and range of the function.
Q
(-8,5)
20-
16-
-20-16-12-8-4
(-12,-11)
8-
st
-8-
-12-
-16-
-20
(1-1)
(-2,-4)
X
4 8 12 16 20
Q
5
hs
HEE
The domain is
(Type your answer in inte
The domain is {-8, -12, 1, -2} and the range is {5, -11, -1, -4}
How to determine the domain and the rangeFrom the question, we have the following parameters that can be used in our computation:
The graph
On the graph, we have
(-8,5) (-12,-11) (1-1) (-2,-4)
The domian is the set of the input values
Using the ordered pairs as a guide, we have
Domain = {-8, -12, 1, -2}
For the range, we have
The range is the set of the output values
So, we have
Range = {5, -11, -1, -4}
Hence, the range is {5, -11, -1, -4}
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Determine the vertical asymptote and horizontal asymptote
The value of vertical asymptotes is, x = 9
And, The value of Horizontal asymptotes is,
y = - 4
We have to given that;
Expression is,
⇒ j (x) = 1/(x - 9) - 4
Now, We can simplify as,
⇒ j (x) = 1/(x - 9) - 4
⇒ j (x) = (1 - 4(x - 9)] / (x - 9)
⇒ j (x) = [1 - 4x + 36] / (x - 9)
⇒ j (x) = (- 4x + 37) / (x - 9)
Hence, For vertical asymptotes make denominator zero.
As, x - 9 = 0
x = 9
And, Here degree of numerator and denominator both are one.
Hence, Horizontal asymptotes is,
y = - 4 / 1
y = - 4
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If f(x) = x + 4 and g(x) = x2 + 6x + 8, what is f(x) divided by g(x)?
Answer:
\(\frac{x+4}{8x+8}\)
Answer: 1/(x+2)
Step-by-step explanation:
\(\frac{x+4}{x^2+6x+8}\\\)
\(\frac{x+4}{(x+2)(x+4)}\)
the x+4 cancel each other so we are left with 1/(x+2)
if the main question was how to foil the denominator x2 + 6x + 8, i can quickly explain that.
x2 + 6x + 8
a2 + bx + c
first step is to multiply the first variable with that last or a * c which in this case would give 1 * 8 = 8
the next step would be to look at the middle number which is b, in our case 6.
so then you look for two number that can multiply to to give 8 as well as add up to 6. With easy guessing one will come up with 4 and 2.
with this values you can impute them directly into the equation as
x^2 +4x +2x+ 8
split the equation then factor
(x^2 +4x) (2x+ 8)
x(x+4) 2(x+4) note that the factored equation must always be the same in the bracket. If they are not the same then you have made a mistake somewhere across the line.
with the results giving (x+2)(x+4)
PLEASE HELP 40 POINTS
Express each logarithm in terms of ln 3 and ln 5.
ln 81 / 125
The solution is 4ln3 - 3ln5, which is correct option(C).
What are the properties of logarithms?There are four basic properties of logarithms:
logₐ(xy) = logₐx + logₐy.
logₐ(x/y) = logₐx - logₐy.
logₐ(xⁿ) = n logₐx.
logₐx = logₓa / logₓb.
What are Arithmetic operations?Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.
The operator that perform arithmatic operation are called arithmatic operators .
Operators which let do basic mathematical calculation
+ Addition operation : Adds values on either side of the operator.
For example 4 + 2 = 6
- Subtraction operation : Subtracts right hand operand from left hand operand.
for example 4 -2 = 2
* Multiplication operation : Multiplies values on either side of the operator
For example 4*2 = 8
/ Division operation : Divides left hand operand by right hand operand
For example 4/2 = 2
According to the problem, we will use some of the basic logarithmic properties,
Given expression,
⇒ ln81/125
⇒ ln81 - ln125 [used property : logₐ(x/y) = logₐx - logₐy]
⇒ ln3⁴ - ln5³ [ 81 =3⁴ and 125 = 5³ ]
⇒ 4ln3 - 3ln5 [used property : logₐ(xⁿ) = nlogₐx]
Hence, the solution is 4ln3 - 3ln5
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Isabella is writing her resume. She doesn’t have much work experience. She thinks she should leave an empty section on her resume. Is this a good idea?
Answer: If you don't have any work you can put in Showcase Your Volunteer Work or Academic Projects
Step-by-step explanation:
She should stress her talents and experience earned above the specific job itself or the amount of time worked.
What is a resume?A succinct description of one's background and credentials: an updated resume I sent a cover letter, work samples, and my resume for the internship.
here, we have,
given that,
Isabella is writing her resume.
She doesn’t have much work experience. She thinks she should leave an empty section on her resume.
Therefore, we have,
Isabella is writing her resume she does not have much work experience she think she should leave an empty section resume is this a good ideas:
She should stress her talents and experience earned above the specific job itself or the amount of time worked because leaving an empty space in her resume could distract the reader.—
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Buddie is filing his federal income tax return with the 1040EZ form using the Single filing status, and nobody can claim him as a dependent. If he had wages, salaries, and tips of $53,100, taxable interest of $230, and no unemployment compensation, what should he enter on line 6 of the Income section below?
A.
$0
B.
$43,980
C.
$34,630
D.
$53,330
Answer: $43,980
Step-by-step explanation:
APEX
Answer: B) $43,980
Step-by-step explanation:
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