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Sati [7]
1 year ago
15

If f and g are continuous functions with f(0) = 2 and the following limit, find g(0). lim_(x->0)[2 f(x) - g(x)] = -3

Mathematics
1 answer:
ladessa [460]1 year ago
5 0

We have by distributivity of limits over sums, and continuity of f(x) and g(x), that

\displaystyle \lim_{x\to0} \bigg(2f(x) - g(x)\bigg) = 2 \lim_{x\to0} f(x) - \lim_{x\to0} g(x) = 2 f(0) - g(0)

Given f(0)=2, it follows that

2^2 - g(0) = -3 \implies g(0) = \boxed{7}

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2 years ago
The number 321.8 is 34% of x. What is the value of x rounded to the nearest whole number?
Anni [7]

Answer:

946

Step-by-step explanation:

Let's make an equation :

34% of x = 321.8

Covert 34% into decimal by dividing by 100 :

34 ÷ 100 = 0.34

Rewrite equation with decimal form :

0.34x = 321.8

Divide both sides by x to make x the subject :

x = 321.8 ÷0.34

x = 946.470588235

To the nearest whole number will be 946 as 4 rounds it down

So our final answer will be 946

Hope this helped and have a good day

7 0
1 year ago
Read 2 more answers
Solve the inequality: –3(x + 2) > 4x + 5(x – 7)
Gwar [14]

Answer:

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Step-by-step explanation:

–3(x + 2) > 4x + 5(x – 7)

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Add 3x to each side

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Add 35 to each side

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Divide each side by 12

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4 0
3 years ago
BEST ANSWER GETS BRAINLYEST
denis23 [38]
0.024 is 2.4%
0.125 is 12.5%
0.05 is 5%

Showing the workMultiply 0.05 by 100 to convert to percent:

<span>0.05 × 100 = </span>5 %

0.5 is 50%
Showing the work - Multiply 0.5 by 100 to convert to percent:

0.5 × 100 = 50 %
Showing the work -multiply  0.024 by 100 to convert to percent:

0.024 × 100 = 2.4 %


6 0
3 years ago
Read 2 more answers
What is the formula for the following geometric sequence?<br><br> -5 -10 -20 -40
Musya8 [376]

Answer:

Subtract 5, double, subtract 5 doubled, so on.

7 0
3 years ago
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