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Usimov [2.4K]
3 years ago
9

Given f (x) = 6x + 2, find f (x + 3).

Mathematics
1 answer:
Dovator [93]3 years ago
3 0

Answer:

6x+20

c.

Step-by-step explanation:

If f(x)=6x+2 and you are asked to find f(x+3), then you just replace all the x's in f(x)=6x+2 with (x+3).

Doing this gives you:

f(x)=6x+2        with new input (x+3) in place of out input (x)

f(x+3)=6(x+3)+2

f(x+3)=6x+18+2

f(x+3)=6x+20

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A commuter crosses one of three bridges, A, B, or C, to go home from work. The commuter crosses bridge A with probability 1/3, c
mihalych1998 [28]

Answer:

0.1333 = 13.33% probability that bridge B was used.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

P(B|A) is the probability of event B happening, given that A happened.

P(A \cap B) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Arrives home by 6 pm

Event B: Bridge B used.

Probability of arriving home by 6 pm:

75% of 1/3(Bridge A)

60% of 1/6(Bridge B)

80% of 1/2(Bridge C)

So

P(A) = 0.75*\frac{1}{3} + 0.6*\frac{1}{6} + 0.8*\frac{1}{2} = 0.75

Probability of arriving home by 6 pm using Bridge B:

60% of 1/6. So

P(A \cap B) = 0.6*\frac{1}{6} = 0.1

Find the probability that bridge B was used.

P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.1}{0.75} = 0.1333

0.1333 = 13.33% probability that bridge B was used.

8 0
3 years ago
In an experiment, what happens to the independent variable?
elena55 [62]

Step-by-step explanation:

It is purposely changed or manipulated.

7 0
2 years ago
If a line slope of -1/2 contains the point (2,3), then it must also contain which of the following points?
tiny-mole [99]
Before the fraction: -1/2, i have a negative sign
use y=mx+b
3=-1/2(2)+b
3+1=-1+b+1
4=b
check your work
0=-1/2x+4
0+4=-1/2x
(4)÷(-1/2)=(-1/2x)÷(-1/2)
-2=x
another pair is (-2,0) use this to figure out the other points, and/or the points you have in the multiple choice.
5 0
3 years ago
What was your speed if you drove 325 miles in 5 1/4 hours?
liraira [26]

Answer:

61.9047619048

Step-by-step explanation:

325/5.25= 61.9047619048

4 0
3 years ago
Read 2 more answers
5x 2 y and 7xy 2 are like terms. true or false
tatyana61 [14]
False,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
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2 years ago
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