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Zanzabum
3 years ago
6

Given that f(x)=2x+1 and g(x)=-5x+2 slice for f(g(x)) when x=3?

Mathematics
1 answer:
mezya [45]3 years ago
3 0

Answer:

x = -25.

Step-by-step explanation:

If f(x) = 2x + 1, and g(x) = -5x + 2, then f(g(x)) = 2(-5x + 2) + 1 = -10x + 4 + 1 = -10x + 5.

f(g(x)) = -10x + 5, and x = 3.

-10 * 3 + 5

= -30 + 5

= -25.

Hope this helps!

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Answer:

Table A represents a linear function. I know because the rate of change between the x and y values is always 1. If you look at the table diagonally, you can see that you can add one to all of your x values to get your y.

Step-by-step explanation:

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4 years ago
The perimeter of a square is 4 times the length of one side of the square. Which graph represents this situation? *
Arisa [49]

Answer:

A.

Step-by-step explanation:

Graph B must be incorrect as this is a directly proportional relationship. Likewise, graph C shows an inversely proportional relationship.

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3 years ago
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3 years ago
According to a survey by the Administrative Management Society, one-half of U.S. companies give employees 4 weeks of vacation af
andreyandreev [35.5K]

Answer:

a

P(2\leq X\leq 5)=0.875

b

P(X

Step-by-step explanation:

Let the random X variable representing the 6 companies that give 4 weeks of vacation after 15 years of employment:

-let p=0.5 be the probability of vacation. Since the companies are independent, X assumes a binomial random variable:P(X=x)=b(x;6,0.5)\\\\={6 \choose x}(0.5)^x(0.5)^{6-x}\\\\={6 \choose x}(0.5)^6, \ x=0,1,2,3...\ \ \ eqtn1

#Probability that the number of companies that give vacation is anywhere from 2 to 5:

We use equation 1;

P(2\leq X\leq 5)=P(X=2)+P(X=3)+P(X=4)+P(X=5)\\\\={6 \choose 2}(0.5)^6+{6 \choose 3}(0.5)^6{6 \choose 4}(0.5)^6+{6 \choose 5}(0.5)^6\\\\=0.0156(15+20+15+6)\\\\=0.875

Hence the probability that between 2 and 5 companies give vacation is 0.875

b. The probability that fewer than 3 companies give vacation is calculated as:

From equation one we get:

P(X

Hence the probability that less than three companies give vacation is 0.3432

3 0
3 years ago
Peter wants to use 75-watt lightbulbs and other electronics in his tree house. He has one outlet with a maximum of 900 watts. Wh
ohaa [14]

Expression is 900 - 75n

Step-by-step explanation:

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⇒ 900 - 75n

8 0
3 years ago
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