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Deffense [45]
3 years ago
15

Peter wants to purchase pizza pies and breadsticks for a party. The cashier tells him that pizza pies are $8 each and breadstick

s are $5 each. Peter cannot spend more than $120. Which of the following options models the number of pizza pies and breadsticks that Peter can purchase? Let y represent the number of pizza pies purchased and let x represent the number of breadsticks purchased. 5x + 8y ≤ 120 5x + 8y ≥ 120 8x + 5y ≤ 120 8x + 5y ≥ 120
Mathematics
2 answers:
kolezko [41]3 years ago
7 0
Apromixly this would equal 5x+8y<span>≤120</span>
sladkih [1.3K]3 years ago
6 0
The answer is 5x+8y<= 120
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The greatest common factor of any two even numbers is always even. determine weather the statement is true or false. if true exp
Illusion [34]
True. Because two even numbers weather you Add Subtract or Multiply them they will always be Even
3 0
3 years ago
Consider the following division of polynomials.
Bond [772]

x^4=x^2\cdot x^2. Multiplying the denominator by x^2 gives

x^2(x^2+2x+8)=x^4+2x^3+8x^2

Subtracting this from the numerator gives a remainder of

(x^4+x^3+7x^2-6x+8)-(x^4+2x^3+8x^2)=-x^3-x^2-6x+8

-x^3=-x\cdot x^2. Multiplying the denominator by -x gives

-x(x^2+2x+8)=-x^3-2x^2-8x

and subtracting this from the previous remainder gives a new remainder of

(-x^3-x^2-6x+8)-(-x^3-2x^2-8x)=x^2+2x+8

This last remainder is exactly the same as the denominator, so x^2+2x+8 divides through it exactly and leaves us with 1.

What we showed here is that

\dfrac{x^4+x^3+7x^2-6x+8}{x^2+2x+8}=x^2-\dfrac{x^3+x^2+6x-8}{x^2+2x+8}

=x^2-x+\dfrac{x^2+2x+8}{x^2+2x+8}

=x^2-x+1

and this last expression is the quotient.

To verify this solution, we can simply multiply this by the original denominator:

(x^2+2x+8)(x^2-x+1)=x^2(x^2-x+1)+2x(x^2-x+1)+8(x^2-x+1)

=(x^4-x^3+x^2)+(2x^3-2x^2+2x)+(8x^2-8x+8)

=x^4+x^3+7x^2-6x+8

which matches the original numerator.

3 0
3 years ago
Read 2 more answers
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Answer:

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Step-by-step explanation:

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8x - 2 + 2 = -9 + 7x + 2

8x = 7x - 7           (subtract 7x from  both sides)

8x - 7x = 7x - 7 - 7x

x = - 7

4 0
3 years ago
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Answer:

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