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solniwko [45]
3 years ago
14

Simplify: (x+7)(x-4)

Mathematics
1 answer:
SVETLANKA909090 [29]3 years ago
6 0

Answer:

x² + 3x - 28

Step-by-step explanation:

Each term in the second factor is multiplied by each term in the first factor

(x + 7)(x - 4)

= x(x - 4) + 7(x - 4) ← distribute both parenthesis

= x² - 4x + 7x - 28 ← collect like terms

= x² + 3x - 28


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Tammy must run more than 67 miles total to reach her fitness goals. She has already run 35 miles and runs 4 miles per day, Which
zhuklara [117]

Answer:

35 + 4x > 67

To reach her fitness goal, she needs to run for more than 8 days.

Step-by-step explanation:

She has already run 35 miles and runs 4 miles per day:

This means that after x days, the distance she will have run is:

D(x) = 35 + 4x

Tammy must run more than 67 miles total to reach her fitness goals.

This means that:

D(x) > 67

35 + 4x > 67

The inequality is:

35 + 4x > 67

Solution:

4x > 32

x > \frac{32}{4}

x > 8

To reach her fitness goal, she needs to run for more than 8 days.

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2 years ago
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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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