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tigry1 [53]
3 years ago
11

Solve -9 <4x+3 11.

Mathematics
1 answer:
Dvinal [7]3 years ago
7 0

Answer:

c) x > -3 or x ≤ 2

Step-by-step explanation:

We are asked to solve this algebraic expression

-9 < 4x+3 ≤ 11.

We have two parts:

a) -9 < 4x+3

b) 4x+3 ≤ 11

For

a) -9 < 4x+3

Subtract 3 from both sides

-9 - 3 < 4x + 3 -3

-12 < 4x

-12/4 < x

-3 < x

x > -3

b) 4x+3 ≤ 11

Subtract 3 from both sides

4x + 3 -3 ≤ 11 - 3

4x ≤ 8

x ≤ 8/4

x ≤ 2

Hence, our answer is

x > -3 or x ≤ 2

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Answer:

Step-by-step explanation:

Limit refers to the value that the function approaches as the input approaches some value.

We say \displaystyle \lim_{x\rightarrow a}f(x)=L, if f(x) approaches L as x approaches 'a'.

(a)

\displaystyle \lim_{x\rightarrow 5}\left ( \frac{f(x)-8}{x-5} \right )=4\\\frac{\displaystyle \lim_{x\rightarrow 5}f(x)-\displaystyle \lim_{x\rightarrow 5}8}{\displaystyle \lim_{x\rightarrow 5}x-\displaystyle \lim_{x\rightarrow 5}5}=4\\

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\displaystyle \lim_{x\rightarrow 5}f(x)-8=20-20=0\\\displaystyle \lim_{x\rightarrow 5}f(x)=8

(b)

\displaystyle \lim_{x\rightarrow 5}\left ( \frac{f(x)-8}{x-5} \right )=7\\\frac{\displaystyle \lim_{x\rightarrow 5}f(x)-\displaystyle \lim_{x\rightarrow 5}8}{\displaystyle \lim_{x\rightarrow 5}x-\displaystyle \lim_{x\rightarrow 5}5}=7\\\frac{\displaystyle \lim_{x\rightarrow 5}f(x)-8}{\displaystyle \lim_{x\rightarrow 5}x-5}=7\\

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3 0
4 years ago
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leonid [27]

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Solution:

Let the number be x.

Square of a number = x²

3 times a number = 3x

Difference of square of a number and 4 = 3 times that number

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Subtract 3x from both sides of the equation, we get

\Rightarrow x^2-3x-4=0

–3x can be written as x – 4x.

\Rightarrow x^2+x-4x-4=0

\Rightarrow( x^2+x)+(-4x-4)=0

1st bracket have common term x and bracket have –4 common term.

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Take common term x + 1 outside.

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<em>By zero factor principle, if AB = 0 then A = 0 or B = 0.</em>

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7 0
4 years ago
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Answer:

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Hope it helps

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expeople1 [14]

Answer:

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Step-by-step explanation:

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Mademuasel [1]

Answer: Your answer is D

Step-by-step explanation: pls mark me as brainiest and 7 x 3 = 21 or 21 / 3 = 7

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