Given f(x) = sqrt of x and g(x) = |x - 6|, find g/fDetermine the domain of the function in interval notation
Answers
The x-values to compute √x must be positive, then the domain of the function g/f are all the real numbers greater or equal to zero
Related Questions
8 customers entered a store over the course of 16 minutes. At what rate were the customers entering the store in customers per minute?
Answers
Answer:
2 customer
Step-by-step explanation:
16/8=2
4x+5(7x-3)=9(x-5)
x=???
Answers
Answer:
i think its 3 im not sure
Step-by-step explanation:
Answer:
x = -1
Step-by-step explanation:
Given equation,
→ 4x + 5(7x - 3) = 9(x - 5)
Now the value of x will be,
→ 4x + 5(7x - 3) = 9(x - 5)
→ 4x + 35x - 15 = 9x - 45
→ 39x - 15 = 9x - 45
→ 39x - 9x = -45 + 15
→ 30x = -30
→ x = -30/30
→ [ x = -1 ]
Hence, the value of x is -1.
Solve by Factoring:
2x^2 - x - 3 = 0
Answers
Answer:
x = 3/2 or x = -1
Step-by-step explanation:
2x² - x - 3 = 0
2*(-3) = -6
Factors of -6:
(-1, 6), (1, -6), (-2, 3), (2, -3)
We need to find a pair that adds up to the co-eff of x which is (-1)
Factors :(2,-3)
2 - 3 = -1
so, 2x² - x - 3 = 0 can be written as:
2x² + 2x - 3x - 3 = 0
⇒ 2x(x + 1) -3(x + 1) = 0
⇒ (2x - 3)(x + 1) = 0
⇒ 2x - 3 = 0 or
x + 1 = 0
⇒ 2x = 3 or x = -1
⇒ x = 3/2 or x = -1
Expressed in simplest a + bi form, (7-3i) + (x - 2i)² - (4i + 2x²) is
Answers
Therefore, the expression (7-3i) + (x - 2i)² - (4i + 2x²) in the simplest a + bi form is: -2x² - 1 - (4x + 7i)
What are the different forms of linear equation?Linear Equation General Form Example
Slope intercept form y = mx + b y + 2x = 3
Point–slope form y – y1 = m(x – x1 ) y – 3 = 6(x – 2)
General Form Ax + By + C = 0 2x + 3y – 6 = 0
Intercept form x/a + y/b = 1 x/2 + y/3 = 1
As a Function f(x) instead of y f(x) = x + C f(x) = x + 3
The Identity Function f(x) = x f(x) = 3x
Constant Functions f(x) = C f(x) = 6
Let's start by expanding the square term (x - 2i)² using the formula for (a + b)²:
(x - 2i)² = x² - 4xi + 4i²
Note that i² = -1, so we can simplify this expression to:
(x - 2i)² = x² - 4xi - 4
Substituting this expression and the given values into the original expression, we get:
(7 - 3i) + (x² - 4xi - 4) - (4i + 2x²)
Grouping the real and imaginary terms, we get:
(7 - 4 - 2x²) + (-3i - 4i - 4x) + (x²)
Simplifying the real part, we get:
-2x² - 1
Simplifying the imaginary part, we get:
-7i - 4x
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Melanie invests $15,000 at 7% simple interest for 1 year. How much is in the account at the end of the 1 year period?
Answers
Answer:
$16,050
Step-by-step explanation:
\(15000(1.07) = 16050\)
20% of 50 please?
thank usm
Answers
Answer:
10
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
Which of the following is NOT used for calculating slope.
(y-y)/(x-x)
Y/x
change in y over the change in x
right triangle on a graph
rise/run
(x-x)/(y-y)
Delta y over Delta X
Answers
Answer:
(x-x)/(y-y)
Step-by-step explanation:
Slope is defined by the change in y divided by the change in x, not the change in x divided by the change in y.
i need help please help its easy
Answers
The solutions for the inequality, in order from smallest to largest, are:
-7, -4, -2, 0, 0.9, 0.99, 0.999, 1
Which values make the inequality true?Here we have the inequality:
y ≤ 1
All the values that make the inequality true are the values equal or smaller than 1.
So we just need to list these in order from smaller to larger.
The correct order will be:
-7, -4, -2, 0, 0.9, 0.99, 0.999, 1
These are the solutions in order.
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Select the correct answer.
Which statement is true?
O A. A sample statistic can never be equal to the population parameter.
OB.
Point estimates are defined for both samples and populations.
O C.
To calculate a sample proportion, we need to know the population size.
O D. To calculate a point estimate, we need to know the sample size.
Answers
The solution is :
Option C is true. To calculate a sample proportion, we need to know the population size.
Here, we have,
To calculate a sample proportion, we need to know the population size. - This is the true statement.
A sample statistic can never be equal to the population parameter. This is false. A statistic is a feature of sample and a parameter is a feature of population. Every sample of the selected size has an equal chance of being used.
Point estimates are defined for both samples and populations. This is false. A point estimate is used to estimate the population parameter.
To calculate a point estimate, we need to know the sample size. This is false. Population is needed.
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Express the pair of fraction using the least common denominator of the two 3/8,7/10
Answers
Answer:
Step-by-step explanation:
3/8 x 5/5 = 15/40
7/10 x 4/4 = 28/40
15/40, 28/40
The least common denominator of the two pairs of fractions is 15/40 are 28/40. which is the correct answer would be an option (A).
What is LCD?The lowest common denominator is defined as the set of fraction denominators with the lowest common multiple. The lowest positive integer with more than one denominator in the set is LCD.
What is the fraction?A fraction is defined as a numerical representation of a part of a whole that represents a rational number.
We have to determine the least common denominator of the two pairs of fractions.
The fractions are 3/8, and 7/10
⇒ 3/8
Multiply by 5/5 in the fraction,
⇒ 3/8 × 5/5 = 15/40
⇒ 7/10
Multiply by 4/4 in the fraction,
⇒ 7/10 × 4/4 = 28/40
Therefore, the least common denominator of the two pairs of fractions is 15/40 are 28/40
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Easy geometry please help!!
Answers
In the given parallelogram ABCD the values for variables are - g = 6, y = 5 and x = 4.
What is a parallelogram?
A quadrilateral with two sets of parallel sides is referred to as a parallelogram. In a parallelogram, the opposing sides are of equal length, and the opposing angles are of equal size. Additionally, the interior angles that are additional to the transversal on the same side.
We know that in a parallelogram, opposite sides are congruent and parallel, and diagonals bisect each other.
Using this information, we can set up equations to solve for the variables.
From the given information, we have -
AE = CE = 2x - 5 = 5x - 17 (since diagonals bisect each other at point E)
BE = x + 2
DE = BE = (x + 2) = g (since diagonals bisect each other at point E)
We also know that opposite sides of a parallelogram are parallel.
Therefore, 10 is parallel to 2y, which means they have the same slope. We can write this as -
10/1 = 2y/1
10 = 2y
y = 5
Now we can use equation (1) to solve for x -
2x - 5 = 5x - 17
12 = 3x
x = 4
Finally, we can use x to solve for g -
(x + 2) = g
(4 + 2) = g
g = 6
Therefore, the values of x, y, and g are 4, 5, and 6, respectively.
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Jesse bought 3 tennis balls for $6. How much did each
tennis ball cost?
Answers
Answer:
The answer is 2$
Step-by-step explanation:
To get each price of the ball divide the total cost of the purchase divide by the quantity of items.
Which statement about the location of √7 on the number line is true?
A= It is located at the number 7 on the number line.
B= It is located at the number 3.5 on the number line.
C= It is located between the numbers 2 and 3 on the number line.
D=It is located between the numbers 4 and 9 on the number line
Answers
Explanation
The square root of a number is “what number times itself”
2 x 2 = 4
3 x 3 = 9
7 is between 4 and 9 so C is the correct answer
Suppose a population contains 20,000 people. All else being equal, a study
based on a population sample that includes which of the following numbers
of respondents would be the most reliable?
A. 200
OB. 20
C. 2000
D. 2
Answers
A study based on a population sample that includes 2000 respondents would be the most reliable out of the given options.
In statistical analysis, the reliability of a study depends on the representativeness and size of the sample.
A larger sample size generally provides more reliable results as it reduces the sampling error and increases the precision of the estimates.
Given that the population contains 20,000 people, we need to consider which number of respondents would yield the most reliable study.
Option A: 200 respondents
This represents only 1% of the population.
While it is better than having just 2 respondents, it may not be sufficient to accurately capture the characteristics of the entire population.
Option B: 20 respondents
This represents only 0.1% of the population.
With such a small sample size, the study would likely suffer from a high sampling error and may not provide reliable results.
Option C: 2000 respondents
This represents 10% of the population.
While it is a larger sample size compared to the previous options, it still only captures a fraction of the population.
The study may provide reasonably reliable results, but there is room for potential sampling error.
Option D: 2 respondents
This represents an extremely small sample size, accounting for only 0.01% of the population.
With such a small sample, the study would be highly susceptible to sampling bias and would likely yield unreliable results.
Based on the options provided, option C with 2000 respondents would be the most reliable study.
Although it does not include the entire population, a sample size of 2000 respondents provides a larger representation of the population and reduces the potential for sampling error.
However, it's important to note that the reliability of a study depends not only on sample size but also on the sampling method, data collection techniques, and other factors that ensure representativeness.
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How tall are u in feet im 5*8?
Answers
Im a 14 billion year old space lady and im 8 feet tall with long flowing hair
Answer:
Well if your talking about height...im 5'1/4
Yeah i pretty short UwU
Step-by-step explanation:
What is the coefficient in the expression -5x + 8?
Answers
Answer:
The coefficiant would be 8
Step-by-step explanation:
Hope this helps:)
Answer:
The coefficient in this expression is 8
Step-by-step explanation:
mart math math math math
Answers
Explanation:
Segment AW bisects angle CAD.
This leads to the smaller pieces (angles CAW and DAW) to be equal to one another. Both are 20 degrees each. That totals to 20+20 = 40 degrees.
Therefore, angle CAD = 40 degrees.
The supplement of this is angle DAX
(angle CAD) + (angle DAX) = 180
angle DAX = 180 - (angle CAD)
angle DAX = 180 - 40
angle DAX = 140 degrees
Ken and Leo weighed the same and their total weight was above 130 kg. After a year, Ken has lost 8 kg and is below 60 kg now. How heavy was Ken one year ago?
Answers
Answer:
68 kg
Step-by-step explanation:
parallel and perpendicular——————-
Answers
If l || m the values of x and y are x = 8, y = 21.
What are the parallel and perpendicular lines?
Parallel lines are lines in a plane that are always the same distance apart. Parallel lines never intersect. Perpendicular lines are lines that intersect at a right (90 degrees) angle.
(7x + 12)° and (12x - 28)° are alternate interior angles. Alternate interior angles are congruent. Therefore:
(7x + 12)° = (12x - 28)°
Solve for x
7x + 12 = 12x - 28
Collect like terms
7x - 12x = - 12 - 28
-5x = -40
Divide both sides by -5
-5x/-5 = -40/-5
x = 8
(12x - 28)° + (9y - 77)° = 180° (linear pair)
To find y, plug in the value for x = 8.
12(8) - 28 + 9y - 77 = 180
96 - 28 + 9y - 77 = 180
Combine like terms
- 9 + 9y = 180
Add 9 to both sides
-9 + 9y + 9 = 180 + 9
9y = 189
Divide both sides by 9
9y/9 = 189/9
y = 21
Hence, if l || m the values of x and y are x = 8, y = 21.
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On a map of Cyan City, 1 inch represents a distance of 4 miles. What length on the map represents a
distance of 1 mile?
Answers
Answer:
253440 milesStep-by-step explanation:
This exercise desires to test our knowledge of units conversion,
now, given that on the map 1 inch represents 4 miles
the distance of 1mile when converted to inches ordinarily would be
1mile is 63360 inches
since on the map
1 inch represents 4 miles
63360 inches represents Xmiles
cross multiply we have
X would be = 63360*4
On a map one mile would be 253440 miles
Can someone please tell me what is 19x8+80-7?
Answers
Answer:
225
Step-by-step explanation:
A cinderblock is pulled 0.50 meters to the right in 0.2 seconds. What is the block's
average speed to the nearest tenth of a meter per second (m/s)? Your answer should
only contain numbers (no units).
Answers
Answer:
2.5
Step-by-step explanation:
I took the test :)
$11,335
is invested, part at 9%
and the rest at 6%
. If the interest earned from the amount invested at 9%
exceeds the interest earned from the amount invested at 6%
by $865.35
, how much is invested at each rate? (Round to two decimal places if necessary.)
Answers
Answer:
Let x be the amount invested at 9% and y be the amount invested at 6%
.According to the problem:
x + y = 11,335 ----(1) (the total amount invested is $11,335)0.09x - 0.06y = 865.35 ----(2) (the interest earned from the amount invested at 9% exceeds the interest earned from the amount invested at 6% by $865.35)
We can use these two equations to solve for x and y.
Multiplying equation (1) by 0.06, we get
:0.06x + 0.06y = 680.10 ----(3)
Subtracting equation (3) from equation (2), we get:
0.03x = 185.25
x = 6,175
Substituting x = 6,175 into equation (1), we get:
y = 5,160
Therefore, $6,175 is invested at 9% and $5,160 is invested at 6%.
Step-by-step explanation:
What is the meaning of "A formula without free variables"?
Answers
A formula without free variables is a formula that does not contain any variables that are not quantified.
What is a formula without free variables ?Sentences are commonly referred to as formulas devoid of any unrestricted variables. These statements hold a truth value independent of the variable values, hence the reason.
Open formulas are frequently referred to as formulas with free variables. These are not actually declarations; instead, they are arrangements that can transform into declarations by allotting definite values to the independent variables.
Formulas without free variables are often easier to work with than formulas with free variables.
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anyone do the Algebra 2 unit 1 test on edg?
Answers
Step-by-step explanation:
no not me .. I'm doing math unit test
The solution to the equation 3x + 7 = 16 - 2x is x = 9/5.
Option A is the correct answer.
We have,
To solve the equation 3x + 7 = 16 - 2x for x, we need to isolate the variable x on one side of the equation.
Let's solve it step by step:
Start with the original equation:
3x + 7 = 16 - 2x
- Add 2x to both sides of the equation to get rid of the -2x on the right side: 3x + 2x + 7 = 16 - 2x + 2x
- Simplifying, we have: 5x + 7 = 16
- Next, subtract 7 from both sides of the equation to isolate the term with x: 5x + 7 - 7 = 16 - 7
- Simplifying, we have: 5x = 9
- Finally, divide both sides of the equation by 5 to solve for x: (5x)/5 = 9/5
- Simplifying, we have: x = 9/5
Therefore,
The solution to the equation 3x + 7 = 16 - 2x is x = 9/5.
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The complete question:
Solve the following equation for x: 3x + 7 = 16 - 2x
a) x = 9/5
b) x = 5
c) x = 4
d) x = 6
I need help solving this problem. It tells me that I could use any method provided above but I don't really get it. Could someone help?
The Problem:
You have to be careful when using a ladder. If you place the ladder too close to the wall, it could tip over. If you place the ladder too far from the wall, it could slide down. To prevent this, safety experts recommend the 4-to-1 Rule: for every 4 feet you want to go up the wall, place the base of the ladder one foot away from the wall.
The longest ladder available at many hardware stores is 40 feet. What is the highest you could reach with this ladder?
The problem gives me three methods to pick from to solve the problem. Each method had a clue underneath.
Hints:
Method 1: Know that the height must be 4x the base. Also know that hypotenuse is the longest side, so height must be shorter than 40 (and base must be shorter than 10 feet).
Method 2: Base^2+Height^2=40^2
Height= 4 • base
Method 3:
Base^2+Height^2=40^2
Base= 0.25 • height
The answers this problem asks for is:
The base, height and length.
Answers
Answer:
The highest you could reach with this ladder is 30 feet or 9.14 meters.
I need help with this
Answers
240 because i am smart and also nice pencil
Step-by-step explanation:
What is the formula forfinding the area of a circle using its radius or diameter.
Answers
Answer:
The formula for finding the area of a circle using its radius is:
The formula for finding the area of a circle using its radius is:A = πr²
The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.
The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:
The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:A = (π/4)d²
The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:A = (π/4)d²where A is the area of the circle and d is its diameter.
The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:A = (π/4)d²where A is the area of the circle and d is its diameter.Note that π (pi) is a mathematical constant that represents the ratio of the circumference of a circle to its diameter and is approximately equal to 3.14
Step-by-step explanation:
Hope it Helps
The formula for finding the area of a circle using its radius is π * r².
The formula for finding the area of a circle using its diameter is (π/4) * d².
The formula for finding the area of a circle using its radius is:
A = π * r²
where:
A represents the area of the circle,
π (pi) is a mathematical constant approximately equal to 3.14159, and
r represents the radius of the circle.
If you have the diameter of the circle instead of the radius, you can use the following formula:
A = (π/4) * d²
where:
A represents the area of the circle,
π (pi) is a mathematical constant approximately equal to 3.14159, and
d is the diameter of the circle.
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The distance from the floor of one level of the building to the floor of the level above it is 9 ft and 3/8 in. If the distance from the floor to the ceiling is 8 ft 2 and 1/2 in, how thick is the space between the ceiling of one floor and the floor of the level above it.
Answers
Answer:
Hope this solution helps you
Work out the following without using a calculator
11101010 base 2 + 2122 base 8 + ABC base 16 - 123 base 8, Give your answer in decimal
Answers
Answer:
Step-by-step explanation:
To work out the given expression without a calculator, we need to convert the numbers from their respective bases to decimal form and then perform the arithmetic operations. Let's break it down step by step:
11101010 base 2: To convert a binary number to decimal, we multiply each digit by the corresponding power of 2 and sum the results. So, let's calculate:
1 * 2^7 + 1 * 2^6 + 1 * 2^5 + 0 * 2^4 + 1 * 2^3 + 0 * 2^2 + 1 * 2^1 + 0 * 2^0 = 234.
2122 base 8: To convert an octal number to decimal, we multiply each digit by the corresponding power of 8 and sum the results. Let's calculate:
2 * 8^3 + 1 * 8^2 + 2 * 8^1 + 2 * 8^0 = 1090.
ABC base 16: To convert a hexadecimal number to decimal, we multiply each digit by the corresponding power of 16 and sum the results. Let's calculate:
10 * 16^2 + 11 * 16^1 + 12 * 16^0 = 2748.
123 base 8: We already know that 123 is in base 8 (octal), so we can directly convert it to decimal:
1 * 8^2 + 2 * 8^1 + 3 * 8^0 = 83.
Now, let's perform the arithmetic operations:
234 + 1090 + 2748 - 83 = 3989.
Therefore, the result of the given expression in decimal form is 3989.