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Alex787 [66]
3 years ago
11

Let f(x)=4x+7 and g(x)=3x-5. find (fog)(-4) A. -9 B. -61 C. -32 D. -17

Mathematics
1 answer:
vovikov84 [41]3 years ago
5 0

Answer:

B

Step-by-step explanation:

To evaluate (f ○ g)(- 4), first evaluate g(- 4) then substitute this value into f(x)

g(- 4)  = 3(- 4) - 5 = - 12 - 5 = - 17, then

f(- 17) = 4(- 17) + 7 = - 68 + 7 = - 61 → B

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Please answer this question now
Nataly [62]

Answer:

<h2>S = 11.4</h2>

Step-by-step explanation:

To find s we use the cosine rule

That's

s² = SU² + ST² - 2(SU)(ST) cos S

From the question

SU = 5

ST = 13

S = 60°

Substituting the values into the expression we have

s² = 5² + 13² - 2(5)(13) cos 60

s² = 25 + 169 - 130cos 60

s² = 194 - 65

s² = 129

Find the square root of both sides

s= √129

s = 11.357816

We have the final answer as

<h3>s = 11.4 to the nearest tenth</h3>

Hope this helps you

3 0
3 years ago
An electric sale gives a reading equal to the true weight plus a random error that isnormally distributed with mean 0 and standa
Pepsi [2]

Answer:

a) 95% confidence interval estimate of the true weight is (3.026, 3.274)

b) 99% confidence interval estimate of the true weight is (2.944, 3.356)

Step-by-step explanation:

Confidence Interval can be calculated using M±ME where

  • M is the mean of five successive weightings (3.150)
  • ME is the margin of error from the mean

And margin of error (ME) can be calculated using the formula

ME=\frac{t*s}{\sqrt{N} } where

  • t is the corresponding statistic in the given confidence level and degrees of freedom(t-score)
  • s is the standard deviation of the random error (0.1)
  • N is the sample size (5)

Using the numbers 95% confidence interval estimate of the true weight is:

3.150±\frac{2.776*0.1}{\sqrt{5} }≈3.150±0.124

And 99% confidence interval estimate of the true weight is:

3.150±\frac{4.604*0.1}{\sqrt{5} }≈3.150±0.206

3 0
3 years ago
Can some one plzzz helps me with this
Sever21 [200]
No a repeating decimals have number repeating such as 555555.
6 0
3 years ago
Determine f^-1(2) given the following: f(1 = -3f(2) = -2f(-1) = 2f(3) = -1
lana [24]

We assume that the function is as follows:

f^{-1_{}}(2)=?

Then, we have that:

f^{-1}(x)=\frac{1}{f(x)}

Thus, if we have that:

f(2)=-2\Rightarrow f^{-1^{}_{}}(x)=\frac{1}{f(x)}\Rightarrow f^{-1}(2)=\frac{1}{f(2)}=\frac{1}{-2}\Rightarrow f^{-1}(2)=-\frac{1}{2}

Therefore, the value for the function is f^-1(2) = -1/2 or

f^{-1}(2)=-\frac{1}{2}

8 0
1 year ago
-
gizmo_the_mogwai [7]

Answer:

4

Step-by-step explanation:

on edg

5 0
4 years ago
Read 2 more answers
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