Answer:
a) I think its 2n+1
c) I think its 6n+3
d) I think its 7n-4
Select the correct answer.
Based on the end behavior of the graph, which polynomial function is graphed here?
1
-2
--3
OA. 1x)=34 - 6x2 - 2x +x+3
OB. RX) =-3x2 -27 +3+3
OC 1x) = 34 - 6x2 - 2x2 + x+3
OD. Ax) = 3x3 - 237 ++3
Answer:
A
Step-by-step explanation:
nsjjdhdhduduyf if ueuheueuheehdhufgrueueuududuududududuss
Question 5(Multiple Choice Worth 2 points)
(02.05)
Determine the vertex of the function f(x) = −4(x − 3)2 + 6.
(6, −3)
(6, 3)
(3, 6)
(−3, 6)
Answer:
(3, 6)
Step-by-step explanation:
The vertex form of a quadratic is y = a(x-h)^2 + k
where (h, k) is the point of the vertex. So the answer is (3,6)
which statement best reflects the solution(s) of the equation?
Answer:
A
Step-by-step explanation:
if you apply demorgan's theorem to the expression overbar(overbar((overbar(a) overbar(b))) (overbar(c d))), you get:
Applying DeMorgan's theorem to the expression overbar(overbar((overbar(a) overbar(b))) (overbar(c d))) results in (a b) + (c + d).
DeMorgan's theorem states that when two terms are combined with an AND operator (such as overbar(a) overbar(b)), the result is the two terms combined with an OR operator (such as a + b).
Similarly, when two terms are combined with an OR operator (such as overbar(c d)), the result is the two terms combined with an AND operator (such as c overbar(d)). Applying this theorem to the expression above results in (a b) + (c + d).
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4x^2=x+3
Solve by factoring
Show your work please!
Answer:
x = - \(\frac{3}{4}\) , x = 1
Step-by-step explanation:
4x² = x + 3 ← subtract x + 3 from both sides
4x² - x - 3 = 0 ← in standard form
consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 4 × - 3 = - 12 and sum = - 1
the factors are - 4 and + 3
use these factors to split the x- term
4x² - 4x + 3x - 3 = 0 ( factor the first/second and third/fourth terms )
4x(x - 1) + 3(x - 1) = 0 ← factor out (x - 1) from each term
(x - 1)(4x + 3) = 0 ← in factored form
equate each factor to zero and solve for x
4x + 3 = 0 ( subtract 3 from each side )
4x = - 3 ( divide both sides by 4 )
x = - \(\frac{3}{4}\)
x - 1 = 0 ( add 1 to both sides )
x = 1
solutions are x = - \(\frac{3}{4}\) , x = 1
Pentagon MNPQR is shown on the coordinate grid. Pentagon MNPQR is dilated with the origin as the center of dilation using the rule (x,y)→(14x,14y)
to create pentagon M’N’P’Q’R’.
Which statement is true? Select all that apply.
The correct statement is; Pentagon M’N’P’Q’R is smaller than pentagon MNPQR because the scale factor is smaller than 1.
What is the scale factor?The ratio between comparable measurements of an item and a representation of that thing is known as a scale factor in arithmetic.
If a polygon is dilated by a scale factor = k
Rule to be followed as;
(x, y) → (kx, ky)
Here, k = Scale factor
If 0 < k < 1, size of the image will be reduced.
Similarly, k > 1, size of the image will be enlarged.
We are given that Pentagon MNPQR is dilated with the origin as the center of dilation to form an image M'N'P'Q'R'.
Rule used for the transformation,
(x, y) → (1/4x, 1/4y)
Here, the scale factor through which MNPQR has been dilated is 1/4.
Since, scale factor is between zero and 1/4, size of M'N'P'Q'R' will be reduced.
Therefore, the size of pentagon M'N'P'Q'R' will be 1/4 smaller than pentagon MNPQR.
Option (2) is the answer.
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The complete question is: Pentagon MNPQR is shown on the coordinate grid. Pentagon MNPQR is dilated with the origin as the center of dilation using the rule (x, y)→(1/4x, 1/4y) to create pentagon M'N'P'Q'R'.
Which statement is true?
a. Pentagon M'N'P'Q'R' is larger than pentagon MNPQR, because the scale factor is greater than 1.
b. Pentagon M'N'P'Q'R' is smaller than pentagon MNPQR, because the scale factor is less than 1.
c. Pentagon M'N'P'Q'R' is larger than pentagon MNPQR, because the scale factor is less than 1.
d. Pentagon M'N'P'Q'R' is smaller than pentagon MNPQR, because the scale factor is greater than 1.
In the first 3 hours of a concert, 2,100 people passed through the gates. How long will it take to fill a concert hall that has 2,800 seats?
Answer:
4 hours
Step-by-step explanation:
the rate of people coming in it 700 per hour
Alvin is 15 years younger than Elga. The sum of their of their ages is 43. What is Elga's age?
Answer:
Elga is 29Alvin is 14Step-by-step explanation:
You want Elga's age, given that Alvin is 15 years younger and the sum of their ages is 43.
SetupLet e represent Elga's age. Then (e-15) is Alvin's age, and the sum of their ages is ...
e +(e -15) = 43
Solution2e = 58 . . . . . . . add 15
e = 29 . . . . . . . divide by 2
Elga's age is 29.
e -15 = 29 -15 = 14 . . . . Alvin's age
Lourdes recorded in this table the change in her dog's weight, in ounces, each month. Which statement can be suppor by the data in the table? Change in Dog's Weight January February March April May +6 +4 -2 +1 -5
A) Lourdes dog gained weight in more months than it lost weight because there are more positive numbers than ne numbers.
B) Lourdes' dog lost weight in more months that it gained weight because the digit 5 is the greatest digit and it is a ne number.
C) Lourdes dog gained weight every month because it is getting older.
D) Lourdes dog lost weight every month because the change in May is a negative number.
Answer:
A). Lourdes dog gained weight in more months than it lost weight because there are more positive numbers then negative numbers
Flip a coin 10 times and record the observed number of heads and tails. For example, with 10 flips one might get 6 heads and 4 tails. Now, flip the coin another 20 times (so 30 times in total) and again, record the observed number of heads and tails. Finally, flip the coin another 70 times (so 100 times in total) and record your results again. We would expect that the distribution of heads and tails to be 50/50. How far away from 50/50 are you for each of your three samples? Reflect upon why might this happen? In response to your peers, comment on the similarities and differences between yours and your classmate’s data analyses. In particular, compare how far away you and your classmate are from 50/50 for each of your three samples.
Answer:
Theoretical probability = 50%
Experimental probability varies.
See below for explanation.
Step-by-step explanation:
This is a problem on theoretical and experimental probability. The results obtained would enable you understand their differences.
The theoretical probability is the result that is expected to happen, but it isn't always what eventually happens.
The theoretical probability of a coin landing on heads is ½ or 50%. This is same for tails.
The experimental probability is the probability obtained from carrying out the experiment. As this is the result of what actually happens, the experimental probability could be lesser or greater than or equal to 50%.
You are required to carry out the experiment. This is because the result would vary from person to person as well as from one experiment to the other.
First, make a table for the number of trials, outcome (head and tail each) and the frequency. Pen down the result for each of the experiment carried out. You can use a tally to make it easy for compilation.
See attachment for table.
Theoretical probability of 10 trials:
Head= 5, tail = 5
Theoretical probability of 30 trials:
Head= 15, tail = 15
Theoretical probability of 100 trials:
Head= 50, tail = 50
It all amount to 50% each
So do your experiment and record the results. Afterwards compare your result which is the experimental probability
for head and tail with the theoretical theoretical.
Also compare your result with that of your classmate.
A local eat-in pizza restaurant wants to investigate the possibility of starting to deliver pizzas. The owner of the store has determined that home delivery will be successful only if the average time spent on a delivery does not exceed 38 minutes. The owner has randomly selected 27 customers and delivered pizzas to their homes. What hypotheses should the owner test to demonstrate that the pizza delivery will not be successful
Answer:
Read step by step explanation
Step-by-step explanation:
The owner already knows that the limit for the average time delivered pizzas is 38 minutes. So we conclude
1.-The resulting mean from sample data ( x ) ( 27 customers) need to be smaller than 38 minutes, any value of sample above 38 minutes means more time for the delivery action and will indicate a failure for the future project
2.-As sample size is smaller than 30 the test has to be t-student one tail test to the left
Test hypothesis
Null hypothesis H₀ x = 38
Alternative hypothesis Hₐ x < 38
We should test at a significance level α = 0,05 (α = 5%)
If the result of the test is to accept H₀ delivery project won´t be implemented, if on the other hand, H₀ is rejected then in the condition of the alternative hypothesis we accept Hₐ the sample indicates that we have a smaller average time than 38 minutes.
Braylen spends 5% of his day working on homework.
How many hours a day does he spend on homework?
(There are 24 hours in a day.)
Answer:
1 hour and 20 minutes..is it right?
Answer:
1.2 hours.
Step-by-step explanation:
5% * 24
(5% = 5/100) * 24
0.05 * 24
= 1.2
---
Hope this helps!
Ana works 25 hours a week at the library. If she is paid $10 an hour, and her net salary each week is $212.50, what percent of her salary is withheld for taxes?
Approximately 17.65% of Ana's salary is withheld for taxes.
To calculate the percentage of Ana's salary that is withheld for taxes, we need to determine the amount of tax withheld and then express it as a percentage of her net salary.
Number of hours worked per week (H) = 25 hours
Hourly wage (W) = $10
Net salary (S) = $212.50
Calculate the total earnings before taxes:
Total earnings = Hours worked * Hourly wage
Total earnings = 25 hours * $10/hour
Total earnings = $250
Determine the amount of tax withheld:
Tax withheld = Total earnings - Net salary
Tax withheld = $250 - $212.50
Tax withheld = $37.50
Calculate the percentage of salary withheld for taxes:
Percentage withheld = (Tax withheld / Net salary) * 100
Percentage withheld = ($37.50 / $212.50) * 100
Percentage withheld ≈ 17.65%
Therefore, approximately 17.65% of Ana's salary is withheld for taxes.
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Fide the volume and round to the nearest tenth . Please help I will give you brainless
Answer:
46
Step-by-step explanation:
Answer:
4.18 inch^3
Step-by-step explanation:
use the sphere volume formula :
V = (4/3)*pi*r^3
the radius of this sphere is 2/2 = 1 ( diameter / 2)
plugging in the values :
V = (4/3)*3.1415*1^3 = 4.18
subtracting linear expressions 30 points this is 3 more
The linear expressions are subtracted to:
-2x + 17. Option A
-4x - 2. Option B
2x + 6. Option B
What are algebraic expressions?Algebraic expressions are expressions made up of variables, terms, factors, coefficients, and constants.
They are also made up of mathematical operations such as addition, subtraction, multiplication, division, etc.
Given the expression:
A. (4x + 8) - (6x - 9)
expand the bracket
4x + 8 - 6x + 9
collect like terms
-2x + 17
B. (3x - 4) - (7x - 2)
expand the bracket
3x - 4 - 7x + 2
collect like terms
-4x - 2
C. (10x + 2) - (8x - 4)
expand the bracket
10x + 2 - 8x + 4
collect like terms
2x + 6
Thus, the linear expressions are subtracted to -2x + 17, -4x - 2, 2x + 6
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. If h> 3 and h - 2g= 0, which of
the following must be true?
A. g> 2.5
B. g> 1.5
C. g <0.5
D. g <1.5
E. g>2
By linear equality , g >1.5 is must be true.
What are equality and inequality along a line?
Equal (=) is the symbol used in linear equations. Example. Using the inequality symbols (>,, is greater than or equal to, and is less than or equal to), linear inequalities are expressed.
x - 5 > 3x - 10 is an illustration of a linear inequality. As the larger than symbol is employed in this inequality, the LHS is strictly greater than the RHS. After being solved, the inequality appears as 2x 5 x (5/2).
If h> 3 and h - 2g= 0
H=2g
2g>3
g >1.5
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Which expression is equivalent to the distance between -13 and -4 on a number line? I need some help
Answer:
9
Step-by-step explanation:
To solve this count from -4 and -13. So counting, we go -5, -6, -7, -8, -9, -10, -11, -12, and -13. To get from -4 to -13 we counted 9 numbers and that gets you your answer of nine. Hope that helps!
1 by 5 multiple by 3 by 8
step by step explaination
1/5 * 3/8
1*3 5*8
3/40
Answer:
\(\frac{3}{40}\)
Step-by-step explanation:
1/5 × 3/8
What fraction does Point A on the number line below represent?
3/8
-3/8
6/8
-6/8
SOH-CAH-TOA..............
Answer:
Step-by-step explanation:
oh nice, SOH CAH TOA :P
Use SOH CAH TOA to recall how the trig functions fit on a triangle
SOH: Sin(Ф)= Opp / Hyp
CAH: Cos(Ф)= Adj / Hyp
TOA: Tan(Ф) = Opp / Adj
SOH CAH TOA is really helpful, it also reminds me of south pacific for some reason :D
Anyway back to math
we want to find an angle and we have the Hyp and the adj sides
to that angle soooo
let's pick CAH since it's got Adj / Hyp , which we know and will find that unknown angle for us.. :)
Cos(Ф) = Adj / Hyp
Ф = arcCos( adj / Hyp)
Ф = arcCos( 14 /28 )
Ф = arcCos(.5) ( if you happen to be good with trig functions you can already tell what it's going to be :P w/o using the calculator)
Ф = 60 °
1a = 60 °
for 1b we know the opp and they hyp and want to find the angle. So let's use SOH
sin = Opp / Hyp
sin(Ф) = 5/20
Ф = arcSin(5 /20)
Ф = arcSin ( 1/4)
Ф = 14.4775 °
1b = 14 ° ( rounded to nearest degree )
Talwar wants to invest R5800 at simple interest rate of 12,2% per annum. How many years will it take for the money to grow to R26100
It will take approximately 28.67 years for Talwar's investment of R5,800 to grow to R26,100 at a simple interest rate of 12.2% per annum.
To calculate the number of years it will take for Talwar's investment to grow to R26,100 at a simple interest rate of 12.2% per annum, we can use the formula for simple interest:
Simple Interest = Principal × Rate × Time
Given that the principal (P) is R5,800, the rate (R) is 12.2% (or 0.122 as a decimal), and the desired amount (A) is R26,100, we need to find the time (T) it will take. Rearranging the formula, we get:
Time = (Amount - Principal) / (Principal × Rate)
Plugging in the values, we have:
Time = (R26,100 - R5,800) / (R5,800 × 0.122)
= R20,300 / R708.6
≈ 28.67 years
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help ,, I need help with this one ,, i’m soo confused
As the x values go up, the y values go down which means the line is higher on the left side than it is on the right side.
The 4th graph would be the correct one
identify the x-values for which f(x)>-2
It should be noted that the expression that can be used to identify the x-values for which f(x)>-2 will be -2 <= x <= 2. This is illustrated in the graph.
How to explain the information?It should be noted that a graph is a diagram that is used to show the relationship that exists between the data presented or the information.
In this case, ut should be noted that the expression that can be used to identify the x-values for which f(x)>-2 will be -2 <= x <= 2. This is illustrated in the graph.
The graph is attached below.
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giving brainliest pls helpp
Answer:
Maybe negative or undefined?
Step-by-step explanation:
sat question I can’t seem to understand fully.
The value of m + n is given as follows:
A. 18.
How to obtain the value of m + n?The exponential expression for this problem is defined as follows:
\((x^5y^6)^{\frac{1}{5}}(x^3y^4}^{\frac{1}{4}}\)
Applying the power of power rule, we have that the exponents are given as follows:
x: 5/5 + 3/4 = 1 + 3/4 = 7/4.y: 6/5 + 4/4 = 6/5 + 1 = 11/5.Then the values of m and n are given as follows:
m = 7, n = 11.
Thus the sum is given as follows:
m + n = 7 + 11 = 18.
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does 2m, 2m, 4m make a triangle?
Answer:
No,
Step-by-step explanation:
All you have to do is use the triangle inequality therorum. if two side lengths of a triangle is always greater than the third side. you will have a triangle.
Mandy runs 4 km in 18 minutes. She plans to run in a 16 km race. Based on her current speed. how long will it take her to complete the race
Answer:
72 minutes
Step-by-step explanation:
You need to set up 2 fractions and set them equal to one another to be able to solve this.
Equation: 4km/18min = 16km/x min
You need to find x. In order to do this you can use that butterfly method/cross multiplication. You do 4 times set equal to 18*16.
Next, you get 18*16=288 and you must divide the other side (4x) to get your final answer. So, 288/4= 72 minutes.
Hope this was helpful!
Together, teammates Pedro and Ricky got 2673 base hits last season. Pedro had 281 more hits than Ricky. How many hits did each player have?
2,673 minus 281 is 2,392.
2,392 divided by 2 is 1,196.
1,196 plus 281 is 1,477.
Answer: Ricky hit 1,196 and Pedro hit 1,477.
Cold Beans wants to make a blend of their two best coffees, Guatemalan and Jamaican coffee. The pound of Guatemalan Coffee costs $11/lb and the other one costs $5/lb. If they want the cost of a 6 pound bag of blend to be $8/lb, how much Guatemalan coffee should they use per pound of the blend?
For each pound of the blend, Cold Beans should use 3 pounds of Guatemalan coffee.
This means that in a 6-pound bag of the blend, they would use \(3 \times 6 = 18\)pounds of Guatemalan coffee.
Let's assume that x pounds of Guatemalan coffee are used per pound of the blend.
Given information:
Cost of Guatemalan coffee = $11/lb
Cost of the other coffee = $5/lb
Desired cost of the blend = $8/lb
Total weight of the blend = 6 pounds
To find the ratio of Guatemalan coffee to the total blend, we can set up the equation:
\((x \times 11 + (6 - x) \times 5) / 6 = 8\)
In this equation, \((x \times 11)\) represents the cost of the Guatemalan coffee in the blend, and\(((6 - x) \times 5)\) represents the cost of the other coffee in the blend.
The numerator is the total cost of the blend, and we divide it by 6 (the total weight of the blend) to find the cost per pound.
Now, let's solve the equation for x:
(11x + 30 - 5x) / 6 = 8
6x + 30 = 48
6x = 48 - 30
6x = 18
x = 18/6
x = 3
Therefore, for each pound of the blend, Cold Beans should use 3 pounds of Guatemalan coffee.
This means that in a 6-pound bag of the blend, they would use \(3 \times 6 = 18\)pounds of Guatemalan coffee.
To summarize, to achieve a cost of $8 per pound for a 6-pound bag of blend, Cold Beans should use 3 pounds of Guatemalan coffee per pound of the blend.
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Determine how long it will take for a principal amount of $1,500 to become double its initial value when deposited into an account paying interest at a rate of 13%, continuously compounded.
A.
5.33 years
B.
6.32 years
C.
11.25 years
D.
14.33 years
c is incorrect