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Yanka [14]
3 years ago
7

The number of free song downloads is determined using a ratio when you purchase 40 songs you get 24 free song downloads how many

songs must you purchase in order to get 18 free song downloads
Mathematics
1 answer:
natka813 [3]3 years ago
3 0
34 because 24 is 6x4 and 40 is 6.5 but you obviously round up so 7x6 so18 free songs is is 6x3 you just take away 6 to your number so 40-6+=34 so 34
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What is the vertex of the function f (x) = x2 - 10x?<br>(5,-25)<br>(5.-75)<br>(-5,75)<br>(-5,25)​
JulsSmile [24]

Option A

The vertex is (h, k) = (5, -25)

<em><u>Solution:</u></em>

<em><u>Given function is:</u></em>

f(x) = x^2-10x

<em><u>The vertex form is given as:</u></em>

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

<h3>where (h, k) is the vertex</h3>

Rewrite the equation in vertex form

f(x) = x^2-10x

Complete the square for  x^2-10x

Use the form ax^2+bx+c to find the values of  a, b, c

a = 1 , b = -10, c = 0

Consider the vertex form of a parabola

a(x+d)^2+e

Substitute the values of a and b into the following formula to find "d" :

d = \frac{b}{2a}\\\\d = \frac{-10}{2 \times 1}\\\\d = -5

Find the value of "e" using the formula,

e = c - \frac{b^2}{4a}\\\\e = 0 - \frac{(-10)^2}{4 \times 1}\\\\e = -25

Substitute the value of a, d, e into vertex form

a(x+d)^2+e\\\\1(x-5)^2-25\\\\(x-5)^2-25

Set y equal to above equation

y = (x-5)^2-25

Compare the above equation with vertex form

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

y = (x-5)^2-25

We find, h = 5 and k = -25

Thus the vertex is (h, k) = (5, -25)

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3 years ago
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Answer:Y= -2x-5


Step-by-step explanation:

What is the Equation of the line that passes through the point (-3,1) and has a slope of -2


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1=-2(-3)+b

1= 6+b

1-6=b

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Y= -2x-5

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