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Bogdan [553]
3 years ago
15

Find two consecutive whole numbers whose product is 72.

Mathematics
1 answer:
Kazeer [188]3 years ago
3 0
n(n+1)=72\\
n^2+n-72=0\\
n^2+9n-8n-72=0\\
n(n+9)-8(n+9)=0\\
(n-8)(n+9)=0\\
n=8 \vee n=-9\\\\
n+1=9 \vee n+1=-8


8 and 9 or -9 and -8
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Describe how to find the slope and y intercept of 2x+3y=6, then describe how would you graph the line.
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Answer:

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In order to convert the standard form equation we are given now into slope-intercept form, we need to get y on one side by itself and solve for y.

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Now that it is in slope intercept form, we can identify the y intercept and slope.

y-int=(0,2), slope=-2/3

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3 years ago
A. {[(-15+5)×2+8]-32÷8}-(-7)
Nezavi [6.7K]

Answer:

Step-by-step explanation:

The answers are:

A)  {[(-15+5)×2+8]-32÷8}-(-7)

Calculate within parentheses: -16 - (-7)

Add and subtract (left to right): -16 - (-7) = -9

B) (5-2)³×2+[-4+(-7)]÷(-2+4)²

To solve this problem, you need to follow the steps of order of operations.

Calculate within parentheses: 3^{3} * 2 + [-4 + (-7)] ÷ (-2+4)²

Calculate within parentheses: 3^{3} *2 -11 ÷ (-2+4)²

Calculate within parentheses: 27 × 2 - 11 ÷ (-2+4)²

Calculate exponents: 27 × 2 -11 ÷ 4

Multiply and divide: 54 - 11 ÷ 4

Multiply and divide: 54 - \frac{11}{4}

Add and Subtract:  \frac{205}{4}

Convert improper fractions to mixed numbers: \frac{205}{4} = 51\frac{1}{4}

C) {-10-[12+(-3)²] + 3³}+3³}÷(-3)

Calculate within parentheses: -4 ÷ (-3)

Multiply and divide:  \frac{-4}{(-3)}

Simplify and convert improper fraction to a mixed number:

\frac{-4}{(-3)} = \frac{4}{3} = 1\frac{1}{3}

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