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LenKa [72]
2 years ago
8

Betty's grade in science class is affected by the number of missing assignments. The table below shows the science grade percent

age for a given number of missing assignments.
Number of missing assignments: 3,5,7,9
Science grade%: 80,70,60,50
The equation for the given table is y=-5x+95. If Betty is missing 15 assignments, what's the [percentage of her grade in science class?

What is the rate of change?
Mathematics
1 answer:
Angelina_Jolie [31]2 years ago
5 0

Hi!

y=-5x+95

<em>Plug in </em>15 for x

y=-5(15)+95

<em>Multiply </em>-5 <em>and </em>15

y=-75+95

<em>Add </em>-75 <em>and </em>95

y =15

-------------------------------------------------------------------------------------------------------------

Betty's percentage is 15%.

The rate of change is the amount it changes for every missing assignment, therefore it would be -5.

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Question A)

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Question B)

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Step-by-step explanation:

A)

We are given:

\sqrt{6x^2}\, \text{ where } x\geq 0

We can rewrite the expression:

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The square root and square will cancel each other out. Thus:

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B)

We are given:

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Rewrite:

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Note that the square root of 9 is simply 3. We can also factor the second part:

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Rewriting:

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Simplify:

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C)

We are given:

\sqrt{50b^4}

Rewrite. Note that 50 = 25(2):

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Answer:

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Step-by-step explanation:

The square of the length of a side can be found from the distance formula:

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The square of the length of WX is ...

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The square of the length of YW is ...

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The sum of the squares of the short sides is equal to the square of the long side, so this is a right triangle. The squares of the short sides are equal, so this is an isosceles right triangle.

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