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Ivan
1 year ago
10

The standard form of an absolute value function is f(x)-a|x-h|+k. Which of the following represents the vertex?

Mathematics
1 answer:
Len [333]1 year ago
6 0

Answer:

(h, k )

Step-by-step explanation:

given the standard form of an absolute function

f(x) = a| x - h | + k , then

vertex = (h, k )

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25 is what percent of 20?
denis-greek [22]

Answer:

20 is 80% of 25

Step-by-step explanation:

We assume, that the number 25 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 100% equals 25, so we can write it down as 100%=25.

4. We know, that x% equals 20 of the output value, so we can write it down as x%=20.

5. Now we have two simple equations:

1) 100%=25

2) x%=20

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=25/20

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20 is what percent of 25

100%/x%=25/20

(100/x)*x=(25/20)*x       - we multiply both sides of the equation by x

100=1.25*x       - we divide both sides of the equation by (1.25) to get x

100/1.25=x

80=x

x=80

8 0
2 years ago
Read 2 more answers
Given the function y=log3(x+2)-2. List the transformations
slava [35]

Answer:

Exponential transformation.

Step-by-step explanation:

y = log_3 (x + 3) - 2

To transform this into exponential, we have:

Adding 2 to both sides

y + 2 = log_3 (x + 3)

3^(y + 2) = x + 3

x = 3^(y + 2) - 3

4 0
2 years ago
Curtis threw 18 darts at a dartboard. 48% of his darts hit the bull’s-eye. How many darts did not hit the bull’s-eye?
Pepsi [2]
Change 48% to 0.48
0.48 x 18 = 8.64
rounded would be 9
4 0
2 years ago
Could someone help me for this?
lina2011 [118]

Answer:

x = - \frac{5}{3} , x = \frac{5}{2}

Step-by-step explanation:

to find the points of intersection equate the 2 equations , that is

7x - 15 = 10 + 12x - 6x² ( subtract 10 + 12x - 6x² from both sides )

6x² - 5x - 25 = 0 ← factor the quadratic on left side

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 = 6 × - 25 = - 150 and sum = - 5

the factors are - 15 and + 10

use these factors to split the x- term

6x² - 15x + 10x - 25 = 0 ( factor the first/second and third/fourth terms )

3x(2x - 5) + 5(2x - 5) = 0 ← factor out (2x - 5) from each term

(2x - 5)(3x + 5) = 0

equate each factor to zero and solve for x

3x + 5 = 0 ⇒ 3x = - 5 ⇒ x = - \frac{5}{3}

2x - 5 = 0 ⇒ 2x = 5 ⇒ x = \frac{5}{2}

3 0
1 year ago
What is the prime factorization for 36?<br> A. 22x32<br> B. 2x3x6<br> C. 6x6
ICE Princess25 [194]

Answer:

c. 6x6

Step-by-step explanation:

because 6x6 is =36

3 0
2 years ago
Read 2 more answers
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