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3 years ago

Solve the inequality: 5x + 7 < -23

Mathematics

2 answers:

lora16 [44]3 years ago

5 0

Step-by-step explanation:

Given

5x + 7 < - 23

Subtracting 7 from both sides

5x + 7 - 7 < - 23 - 7

5x < - 30

Dividing both sides by 5

5x / 5 < - 30 / 5

x < - 6

Hope it will help :)

Airida [17]3 years ago

3 0

Answer: x = 14/5

Step-by-step explanation:

1. Add 7 to both sides.

5x=7 +7

5x=7+7

Simplify 7 +7 to 14

5x = 14

5x=14

Divide both sides by 5

x =14/5

x = 14/5

Hoped this help <3 !

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3 years ago

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75x+2=
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3 years ago

What values of a and b make the equation true? StartRoot 648 EndRoot = StartRoot 2 Superscript a Baseline times 3 Superscript b

kramer

Option C: $a=3, b=4$ is the value of a and b

Explanation:

Given that the expression $\sqrt{648}=\sqrt{2^a\times3^b}$

We need to determine the value of a and b

Let us consider the term $\sqrt{648}$ and take the prime factorization of the term 648

Thus, we have,

648 divides by 2,

$648=2 \cdot 324$

324 divides by 2,

$648=2 \cdot 2 \cdot 162$

162 divides by 2,

$648=2 \cdot 2 \cdot 2 \cdot 81$

81 divides by 3,

$648=2 \cdot 2 \cdot 2 \cdot 3 \cdot 27$

27 divides by 3,

$648=2 \cdot 2 \cdot 2 \cdot 3 \cdot 3 \cdot 9$

9 divides by 3,

$648=2 \cdot 2 \cdot 2 \cdot 3 \cdot 3 \cdot 3 \cdot 3$

Thus, we have,

$\sqrt{648}=\sqrt{2^{3} \cdot 3^{4}}$

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$a=3, b=4$

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Thus, Option C is the correct answer.

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