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Rudiy27
3 years ago
8

What is the solution to the compound inequality 3x-8>-5 and 2x-7<5

Mathematics
1 answer:
-BARSIC- [3]3 years ago
6 0

Answer:

<h2>1 < x < 6 ⇒ x ∈ (1, 6)</h2>

Step-by-step explanation:

3x - 8  > -5              <em>add 8 to both sides</em>

3x > 3        <em>divide both sides by 3</em>

x > 1

2x - 7 < 5            <em>add 7 to both sides</em>

2x < 12          <em>divide both sides by 2</em>

x < 6

From x > 1 and x < 6 we have the solution 1 < x < 6 ⇒ x ∈ (1, 6)

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If f(x) = 5x - 2 and g(x) = 2x + 1, find (f + g)(x)
SVEN [57.7K]

Answer:

(f + g)(x) = 7x - 1

Step-by-step explanation:

Given :  f(x) = 5x – 2 and g(x) = 2x + 1

We have to find  (f + g)(x)

Consider  (f + g)(x) = f(x) + g(x)

Also, given  f(x) = 5x – 2 and g(x) = 2x + 1

Substitute, we have,

f(x) + g(x) = 5x - 2 + 2x + 1

Like Terms are terms having same variable with same degree.

Simplify by adding like terms,  we have,

f(x) + g(x) = 5x + 2x - 2  + 1

f(x) + g(x) = 7x  - 1

Thus, (f + g)(x) = 7x - 1

5 0
3 years ago
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Fudgin [204]
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3 0
3 years ago
Without using a calculator, choose the statement that best describes the value of
castortr0y [4]

Answer:

8

Step-by-step explanation:

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4 0
2 years ago
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Write a two-step equation using the numbers 2, 3, and where the variable is equal to -1/6
Romashka [77]

Answer:

x5+5=25/6

Step-by-step explanation:

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6 0
3 years ago
How would you solve -4(8+5n)=8 ?
Anna11 [10]

Answer:

n = -2

Step-by-step explanation:

we apply distributive property:

-4(8+5n)=8

-4*8 -4*5n = 8

we have:

-32 -20n = 8

we add 32 to both sides of the equation:

-32+32 -20n = 8 +32

we have:

-20n = 40

we divide by -20 to both sides of the equation:

-20n/-20 = 40/-20

we have:

n = -40/20

finally we have:

n = -2

8 0
3 years ago
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