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BabaBlast [244]
4 years ago
10

Please help 20 points

Mathematics
1 answer:
Sergio039 [100]4 years ago
3 0
Use the horizontal line test.

If any 2 points along the curve of F(x) touch a horizontal line, then the inverse is NOT a function.

This is because if 2 points share the same 'y' value in F(x), then they would share the same 'x' values in the inverse function.  This is not allowed for a function.

For the given curve, it passes the horizontal line test. Therefore the inverse IS a function.
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Solve for m:<br> -5(m - 3) + 6 = 2(m - 5)
tensa zangetsu [6.8K]

Answer:

<h2>m =  \frac{31}{7}</h2>

Step-by-step explanation:

-5(m - 3) + 6 = 2(m - 5)

<u>Expand the terms in the bracket</u>

That's

- 5m + 15 + 6 = 2m - 10

- 5m + 21 = 2m - 10

<u>Subtract 2m from both sides</u>

- 5m - 2m + 21 = 2m - 2m - 10

- 7m + 21 = - 10

<u>Subtract 21 from both sides</u>

That's

- 7m + 21 - 21 = - 10 - 31

- 7m = - 31

<u>Divide both sides by - 7</u>

We have the final answer as

<h3>m =  \frac{31}{7}</h3>

Hope this helps you

4 0
4 years ago
A student has learned that test scores in math are determined by this quadratic function: s(t) = -(t-6)^2 + 99
ser-zykov [4K]

Answer:

a. 6,  b. 99, c. 63

Step-by-step explanation:

A)  The function s(t) is in the vertex form. The standard vertex form is a(x-h)+k where the vertex is (h,k). The vertex is the highest (or lowest in some cases) point of the graph, so if we use s(t) to get the vertex we get that h=6 and k=99. This means that for a student to get a perfect score they need to study 6 hours

B) We can just take the k value from the first question because that's the highest value for s(t), so the highest score will be 99

C) For this one just plug in 0 for time, so -(0-6)^2+99. This equals -(-6)^2+99, which equals 99-36 =63

4 0
3 years ago
A firecracker shoots up from a hill 140 feet high, with an initial speed of 100 feet per second. Using the formula H(t) = −16t2
V125BC [204]
<span>H(t) = −16t^2 + vt + s

</span>
<span>H(t) = −16t^2 + 100t + 140

H(t) = 0 = </span><span>−16t^2 + 100t + 140

16t^2 - 100t -140 = 0

t = [100 +/- √ (100^2 -4(16)(-140) ) ] /(2(16))

t = 7.43 and t = - 1.18.

El que tiene sentido para la pregunta es t = 7.43 s.

Option B) 7 s (approximately)


</span>
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Answer:

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Step-by-step explanation:

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