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gregori [183]
3 years ago
6

Factor the expression. 8g3 + 10g2 – 12g – 15

Mathematics
1 answer:
IrinaVladis [17]3 years ago
6 0
The correct answer is (2g2 - 3) • (4g + 5)
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Is​ f(x) continuous at x equals 4​? Why or why​ not? A. ​No, f(x) is not continuous at x equals 4 because ModifyingBelow lim Wit
soldier1979 [14.2K]

<u>Corrected Question</u>

Is the function given by:

f(x)=\left\{\begin{array}{ccc}\frac{1}{4}x+1 &x\leq 4\\4x-11&x>4\end{array}\right ​

continuous at x=4​? Why or why​ not? Choose the correct answer below.

Answer:

(D) ​Yes, f(x) is continuous at x = 4 because Lim_{x \to 4}f(x)=f(4)

Step-by-step explanation:

Given the function:

f(x)=\left\{\begin{array}{ccc}\frac{1}{4}x+1 &x\leq 4\\4x-11&x>4\end{array}\right

A function to be continuous  at some value c in its domain if the following condition holds:

  • f(c) exists and is defined.
  • Lim_{x \to c}$ f(x) exists.
  • f(c)=Lim_{x \to c}$ f(x)

At x=4

  • f(4)=\dfrac{1}{4}*4+1=2
  • Lim_{x \to 4}f(x)=2

Therefore: Lim_{x \to 4}f(x)=f(4)=2

By the above, the function satisfies the condition for continuity.

The correct option is D.

3 0
3 years ago
If C=πd and d=2r, then what is C when r is 4 meters?
vichka [17]

Answer:

C = 8π

Step-by-step explanation:

C = πd

d = 2r

Given : r = 4

d = 2r and r = 4

Plug in 4

d = 2(4)

2(4) = 8

D = 8

We then have C=πd and d = 8

So plug in 8

C = 8π

4 0
3 years ago
Alan takes 12 minutes to jog 1 kilometer. How many seconds does Alan take to jog 1 kilometer?
Brilliant_brown [7]
720 because  60 multiplied by 12 = 720 hope i helped
8 0
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What are the possible answers ?
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A 12-in. pizza is cut into 10 slices. You eat one slice of pizza. How many square inches of pizza do you eat? Show your work. Ro
dsp73

Answer:

Well on my calculator it says 1.2 so u ate 1.2 inches. to round it it would be 1 so 1 square inch

6 0
4 years ago
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