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Alborosie
3 years ago
7

PLEASE HELP, 5 STARS!!!

Mathematics
2 answers:
notka56 [123]3 years ago
7 0

Answer:

option D

Step-by-step explanation:

Domain is the set of x values for which the function is defined

To find domain restriction first we simplify the given expression

Factor both numerator and denominator

\frac{y^2-3y-40}{y^2+9y+20}

y^2-3y-40=(y-8)(y+5)

y^2+9y+20=(y+4)(y+5)

Replace the factors in our expression

\frac{(y-8)(y+5)}{(y+4)(y+5)}

Both top and bottom have y+5, so we cancel it out

\frac{(y-8)}{(y+4)}

To find restriction for y , set the denominator =0 and solve for y

y+4=0

so y=-4

y=-4 makes the denominator 0

So, y not equal to -4

Grace [21]3 years ago
6 0
Y=-4 is one of your answers
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Convert the following repeating decimal to a fraction in simplest form .31 with the 1 repeating
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Answer:

14/45

Step-by-step explanation:

So we have the fraction:

0.3\bar1=0.31111...

We can do this algebraically. Follow to following steps:

Let's let this number equal to n. Thus:

0.31111...=n

Since there is only 1 digit repeating, let's multiply everything by 10. So:

3.1111...=10n

Now, subtract n from both sides:

3.1111-n=10n-n

On the left, substitute the number for n. On the right, combine like terms:

3.1111...-0.31111...=9n

All of the 1s will cancel. So:

3.1-0.3=9n

Subtract:

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n=28/90

Reduce:

n=14/45

And we're done!

Use a calculator to check:

14/45\stackrel{\checkmark}{=}0.31111...

7 0
3 years ago
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Step-by-step explanation:

3 0
3 years ago
On Saturdays. Eve earns $14 per hour for yard work and charges an extra amount for supplies/gas money to get there. Look at the
grigory [225]

Answer:

<em>D</em>

Step-by-step explanation:

Question:On Saturdays. Eve earns $14. per hour for yard work and charges an extra amount for supplies/gas money to get there. Look at the table. Choose the linear function f Eve can use to determine her pay, where x is in hours and f(x) is her pay in dollars.

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Step-by-step explanation:

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antiseptic1488 [7]

Answer:

1) true

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4 0
2 years ago
Read 2 more answers
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