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Natali [406]
3 years ago
10

This is harder so i put more points

Mathematics
2 answers:
stealth61 [152]3 years ago
8 0

                                       <u>Answer and Explanation</u>

<u>__________________________________________________________</u>

<h2>Sheet metal costs $20 per square foot</h2><h3>( x = 20 )</h3>

<u>__________________________________________________________</u>

<em>Sheet metal costs 20 dollars per square foot, and we can figure this out by multiplying the 20 by the numbers and subtracting them.</em>

<u>__________________________________________________________</u>

7.6x-2.3x=106 <em>but what does x equal? ( 20 )</em>

7.6\cdot20 = 152

2.3\cdot20 = 46

<u>__________________________________________________________</u>

152-46 = 106

<em>Which is the same in the question, so x = 20.</em>

<u>__________________________________________________________</u>

<em>Hope this helps! <3</em>

<u>__________________________________________________________</u>

Inessa [10]3 years ago
3 0

Answer:

Sheet metal costs <u>$20</u> per square foot.

Step-by-step explanation:

7.6x - 2.3x = 106

We are finding the value of x.

5.3x = 106

Divide both sides by 5.3.

x = 106 ÷ 5.3

x = 20

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Malia is at an amusement park. She bought 14 tickets, and each ride requires 2 tickets. Write an expression that gives the numbe
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Problem 9

The instructions aren't stated anywhere, but I'm assuming your teacher wants you to find the equation of each parabola.

The vertex here is (h,k) = (-6,-4) which you have correctly determined.

This means

y = a(x-h)^2 + k\\\\y = a(x-(-6))^2 +(-4)\\\\y = a(x+6)^2 - 4\\\\

Next we plug in one of the other points on the parabola. We cannot pick the vertex again. Let's pick the point (-4,0) which is one of the x intercepts. We'll do this to solve for 'a'

y = a(x+6)^2 - 4\\\\0 = a(-4+6)^2 - 4\\\\0 = a(2)^2 - 4\\\\0 = a(4) - 4\\\\0 = 4a-4\\\\4a-4 = 0\\\\4a = 4\\\\a = 4/4\\\\a = 1\\\\

This means

y = a(x+6)^2 - 4\\\\y = 1(x+6)^2 - 4\\\\y = (x+6)^2 - 4\\\\

represents the equation of the parabola in vertex form.

<h3>Answer: y = (x+6)^2 - 4\\\\</h3>

========================================================

Problem 10

The vertex is (h,k) = (-2,-6)

So,

y = a(x-h)^2 + k\\\\y = a(x-(-2))^2 + (-6)\\\\y = a(x+2)^2 - 6\\\\

Now plug in another point on the parabola like (-1,-8) and solve for 'a'

y = a(x+2)^2 - 6\\\\-8 = a(-1+2)^2 - 6\\\\-8 = a(1)^2 - 6\\\\-8 = a(1) - 6\\\\a-6 = -8\\\\a = -8+6\\\\a = -2\\\\

<h3>Answer:  y = -2(x+2)^2 - 6\\\\</h3>

For each equation, you could optionally expand things out to get it into y = ax^2+bx+c form, but I think it's fine to leave it as vertex form.

7 0
2 years ago
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