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raketka [301]
2 years ago
6

Given the functions f(x) = 7x + 13 and g(x) = x + 2, which of the following functions represents f[g(x)] correctly?

Mathematics
2 answers:
Stels [109]2 years ago
8 0

Answer:

<u>f[g(x)] = f[x + 2] = 7(x + 2) + 13 = 7x + 7(2) + 13 = 7x + 14 + 13 = 7x + 27</u>

<u>f[g(x)] = 7x + 27</u>

Shalnov [3]2 years ago
3 0
F[g(x)] = f[x + 2] = 7(x + 2) + 13 = 7x + 7(2) + 13 = 7x + 14 + 13 = 7x + 27

f[g(x)] = 7x + 27

The correct answer is B.
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Given f(x) and g(x) = f(x + k), use the graph to determine the value of k.
dedylja [7]

g(x) is basically transformed f(x). First, let's focus on f(x) graph. Notice how the graph has slope of 1 and intersect y-axis at (0,0).

Which means that our equation for f(x) is:

\large{f(x) = x}

Now then we focus on g(x). g(x) is f(x+k). That means if f(x) = x then f(x+k) would mean substitute x = x+k in the equation.

\large{f(x + k) = x + k }\\  \large{g(x) = x + k}

Next, we want to find the value of k. In the slope-intercept form or y = mx+b where m = slope and b = y-intercept. Notice the g(x) graph and see that the graph intersects y-axis at (0,4). Therefore k = y-intercept = 4.

\large{g(x) = x + 4}

Answer

  • g(x) = x+4
  • Therefore the value of k is 4.
3 0
3 years ago
What would the answer be?
Alexus [3.1K]
C.) 27 and a half. 12 minutes times 5 equals an hour so 5 and a half pages times 5 equals 27 and a half pages per hour.
7 0
3 years ago
A consulting firm had predicted that 35% of the employees at a large firm would take advantage of a new company Credit Union, bu
m_a_m_a [10]

Answer:

a) 0.4770

b) 3.9945

c) z-statistics seem a large value

Step-by-step explanation:

<u>a. Find the standard deviation of the sample proportion based on the null hypothesis</u>

Based on the null hypothesis:

p_{0}: 0.35

and the standard deviation σ = \sqrt{p_{0} *(1-p_{0}) } =\sqrt{0.35 *0.65 } ≈0.4770

<u>b. Find the z statistic</u>

z-statistic is calculated as follows:

z=\frac{X-p_{o} }{\frac{s}{\sqrt{N} } } where

  • X is the proportion of employees in the survey who take advantage of the Credit Union (\frac{138}{300}=0.46)
  • p_{0} is the proportion in null hypothesis (0.35)
  • s is the standard deviation (0.4770)
  • N is the sample size (300)

putting the numbers in the formula:

z=\frac{0.46-0.35} }{\frac{0.4770}{\sqrt{300} } } = 3.9945

<u>c. Does the z statistic seem like a particularly large or small value?</u>

z-statistics seem a large value, which will cause us to reject the null hypothesis.

4 0
3 years ago
4. If x=4 and y=10, what is the value of the expression 3x²y + y/2 - 6x?
Vlad1618 [11]

Answer:

2

Step-by-step explanation:

3*4^2*10+10/2 - 6*4

   4*4=16    5      24

3*16*10  +   5  -  24 = 19

480 - 19

4 0
3 years ago
Help!! Which of the following represents a rotation
Neporo4naja [7]
Another test question. whyyy

Answer is the last one because look at the new coordinates shown in blue.


4 0
3 years ago
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