Y-5, y=2x^2-16x+29, use substitution to solve the system of equations

Mathematics

1 answer:

seraphim [82]2 years ago

7 0

Answer:

2x^2-16x+34

Step-by-step explanation:

Since Y is equal to -5

And you substitute -5 in the equation.

You now have -5=2x^2-16x+29

Add 5 to both sides

5-5=2x^-16x+29+5

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2 years ago

How many integers between 10 and 60, inclusive, can be evenly divided by neither 2 nor 3?

erastovalidia [21]

Find total number of integers.

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Find how many integers is divisible by 2.

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Eliminate even numbers.

11, 13, 15,..., 57, 59

This array contains 51 - 26 = 25 numbers.

Eliminate numbers before the first number divisible by 3 and after the last number divisible by 3.

15, 17, 19,..., 55, 57

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Now we should eliminate numbers divisible by 3: 15, 21, 27...

$a_1=15,a_n=57,d=6,n=?
\\a_n=a_1+(n-1)d
\\57=15+(n-1)6
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\\n-1=7
\\n=8$

There are 8 such numbers.

Therefore, there are 25 - 8 = 17 numbers that <span>can be evenly divided by neither 2 nor 3</span>

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3 years ago

Check all that apply. Thanks!

spayn [35]

Answer:

The answers are options C and E

Hope this helps you

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3 years ago

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