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Annette [7]
3 years ago
11

F(x) = 4x^2 + 5x + 3; g(x) = 5x - 7, find g(f(x)).

Mathematics
1 answer:
andrezito [222]3 years ago
5 0

g(f(x))=5(4x^2+5x+3)-7=20x^2+25x+15-7=20x^2+25x+8

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An SRS of 27 students at UH gave an average height of 5.6 feet and a standard deviation of .1 feet.Construct a 90% confidence in
Juliette [100K]

Answer:

Option a) [5.567, 5.633]                

Step-by-step explanation:

We are given the following in the question:  

Sample mean, \bar{x} = 5.6 feet

Sample size, n = 27

Alpha, α = 0.10

Sample standard deviation, s = 0 .1 feet

90% Confidence interval:  

\bar{x} \pm t_{critical}\displaystyle\frac{s}{\sqrt{n}}  

Putting the values, we get,  

t_{critical}\text{ at degree of freedom 26 and}~\alpha_{0.10} = \pm 1.7056  

5.6 \pm 1.7056(\displaystyle\frac{0.1}{\sqrt{27}} ) = 5.6 \pm 0.0328 = (5.5672 ,5.6328) \approx (5.567,5.633)  

Option a) [5.567, 5.633]

7 0
3 years ago
Emily predicted her car payment to be $250 each month. Her actual car payment is
Nat2105 [25]

Answer:

10%

Step-by-step explanation:

(y-x)/x*100

275-250/250*100

25/250*100 which is 10

10%.

Hope this helps!

8 0
3 years ago
If KL = 8 and KM = 12, what is KN? Round your answer to the nearest tenth.
WITCHER [35]

Answer:

5.3

Step-by-step explanation:

Use the right triangle altitude theorem.

KM/KN = KL/KN

12/8 = 8/KN

1.5 = 8/KN

1.5KN = 8

KN = 8/1.5

KN = 5 1/3

Answer: 5.3

6 0
3 years ago
Which ordered pair in the form (x,y) is a solution of this equation?
qwelly [4]
D
7•4 =28, -5•0 =0... 28+0=28
7 0
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Alekssandra [29.7K]
20:28 plus 9 hours = 05:28
05:28 plus 10 minutes = 05:38
Answer= 05:38
4 0
3 years ago
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