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2 years ago

Are these ratios equivalent? 8 sneakers to 20 sandals 4 sneakers to 10 sandals

Mathematics

1 answer:

Aleksandr-060686 [28]2 years ago

6 0

Answer:

yes

Step-by-step explanation:

For the first ratio we can simplifiy it by divide the two numbers by 4

8:4 = 2

20: 4 = 5

2 sneakers to 5 sandals

For the second ratio we can simplify it by dividing the two numbers by 2

4 : 2 = 2

10 : 2 = 5

2 sneakers to 5 sandals

we have found that the two ration are equivalent

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3 years ago

Read 2 more answers

What is the y-value of the vertex of the function f(x) = –(x + 8)(x – 14)?

maxonik [38]

we have

$f(x)=-(x+8)(x-14)$

Convert to vertex form

$f(x)=-(x+8)(x-14)\\f(x)=-( x^{2}-14x+8x-112) \\f(x)=-( x^{2}-6x-112)\\f(x)=-x^{2}+6x+112$

we know that

the equation of a vertical parabola in vertex form is equal to

$y=a(x-h)^{2} +k$

where

(h,k) is the vertex

$f(x)=-x^{2}+6x+112$

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$f(x)-112=-(x^{2}-6x)$

Complete the square. Remember to balance the equation by adding the same constants to each side

$f(x)-112-9=-(x^{2}-6x+9)$

$f(x)-121=-(x^{2}-6x+9)$

Rewrite as perfect squares

$f(x)-121=-(x-3)^{2}$

$f(x)=-(x-3)^{2}+121$

the vertex is the point $(3,121)$

therefore

<u>the answer is </u>

The y-value of the vertex is $121$

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3 years ago

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