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3 years ago

1. A square pizza box has an area of 155 cm^2. Which is the best estimate of the side length of the pizza box?

Mathematics

2 answers:

natulia [17]3 years ago

7 0

Answer:

its D

Step-by-step explanation:

did it

Westkost [7]3 years ago

4 0

Answer:

C.) 12.4

Step-by-step explanation:

The square root of 155 needs to be found.

It's about 12.4498996.

Thinking that your options are supposed to be decimals, the closest rounded answer would be C.

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What are the solutions to the following system of equations? y = x2 + 3x − 7 3x − y = −2 (2 points) (3, 11) and (−3, −7) (11, 3)

Minchanka [31]

ANSWER

(3, 11) and (−3, −7)

EXPLANATION

The given system of equations are:

$y = {x}^{2} + 3x - 7$

and

$3x - y = - 2$

or

$y = 3x + 2$

We equate the two equations to obtain,

${x}^{2} + 3x - 7 = 3x + 2$

We rewrite in standard quadratic form to obtain,

${x}^{2} + 3x - 3x - 7 - 2 = 0$

This simplifies to

${x}^{2}- 9= 0$

We solve for x to obtain,

${x}^{2} = 9$

$x = \pm \sqrt{9}$

$x = \pm 3$

$x = 3 \: or \: x = - 3$

When
$x = 3$

$y = 3(3) + 2 = 11$

When x=-3,

$y = 3( - 3) + 2 = - 7$

Therefore the solution for the system is (3, 11) and (−3, −7).

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3 years ago

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4 years ago

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A student raises her grade average from a 75 to a 90. What was the percent of increase in the student’s grade average? Round you

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3 years ago

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joja [24]

Answer:

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Step-by-step explanation:

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3 years ago

Find the roots of f(x)=x^2+10x−96

a_sh-v [17]

Answer:

x = -16 or x = 6

Step-by-step explanation:

To find the roots of a polynomial function, set the polynomial equal to zero and solve for x.

x² + 10x - 96 = 0

We need to factor the left side. The left side is a quadratic polynomial whose first coefficient is 1. We need two numbers whose product is -96 and whose sum is 10. The numbers are 16 and -6.

(x + 16)(x - 6) = 0

If a product of two factors equals zero, then one factor or the other or both must equal zero.

x + 16 = 0 or x - 6 = 0

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3 years ago