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lora16 [44]
3 years ago
14

If f(x) = -x + 8 and g(x) = x4, what is (gºf)(2)? Enter the correct answer.

Mathematics
1 answer:
quester [9]3 years ago
4 0

Answer:

\large\boxed{(g\circ f)(2)=1296}

Step-by-step explanation:

f(x)=-x+8,\ g(x)=x^4\\\\(g\circ f)(x)=g\bigg(f(x)\bigg)\\\\(g\circ f)(x)=\bigg(-x+8\bigg)^4\\\\(g\circ f)(2)\to\text{put x - 0 to the equation of the function:}\\\\(g\circ f)(2)=(-2+8)^4=(6)^4=1296

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A car starts on a trip and travels at an average speed of 50 miles per hour. Two hours later, a second car starts on the same tr
umka21 [38]

The distance traveled by first car is 50t + 100.

The distance traveled by second car is 70t.

The distance between the two cars after time, t is d = 100 - 20t.

The ratio of the distance traveled by the cars is (70t) / (50t + 100).

<h3>Distance traveled by each vehicle is calculated as follows;</h3>

The distance traveled by each vehicle at the given time is calculated as follows;

<h3>Distance traveled by first car</h3>

D₁ = speed x time

D₁ = 50(t + 2)

D₁ = 50t + 100

<h3>Distance traveled by the second car</h3>

D₂ = 70t

<h3>Distance between the two cars after time, t</h3>

d = D₁ - D₂

d = (50t + 100) - 70t

d = 100 - 20t

<h3>Ratio of the distance traveled by the cars</h3>

D₂/D₁ = (70t) / (50t + 100)

Learn more about distance traveled by a vehicle here: brainly.com/question/6504879

#SPJ1

7 0
11 months ago
A county is considering rasing the speed limit on a road because they claim that the mean speed of vehicles is greater than 30 m
DochEvi [55]

Answer:

No, at alpha equals 0.10​, we do not have enough evidence to support the​ county's claim.

Step-by-step explanation:

We are given that a county is considering raising the speed limit on a road because they claim that the mean speed of vehicles is greater than 30 miles per hour.

A random sample of 15 vehicles has a mean speed of 31 miles per hour and a standard deviation of 4.7 miles per hour.

<em><u>Let </u></em>\mu<em><u> = true mean speed of the vehicles.</u></em>

SO, <u>Null Hypothesis</u>, H_0 : \mu \leq  30 miles per hour   {means that the mean speed of vehicles is lesser than or equal to 30 miles per hour}

<u>Alternate Hypothesis,</u> H_A : \mu > 30 miles per hour   {means that the mean speed of vehicles is greater than 30 miles per hour}

The test statistics that will be used here is <u>One-sample t test statistics</u> as we don't know about the population standard deviation;

                        T.S.  = \frac{\bar X -\mu}{\frac{s}{\sqrt{n} } }  ~ t_n_-_1

where, \bar X = sample mean speed of 15 vehicles = 31 mph

             s = sample standard deviation = 4.7 mph

             n = sample of vehicles = 15

So, <em><u>test statistics</u></em>  =   \frac{31-30}{\frac{4.7}{\sqrt{15} } }  ~ t_1_4

                               =  0.824

<u><em>Hence, the value of test statistics is 0.824.</em></u>

<em />

<em>Now at 0.10 significance level, the t table gives critical value of 1.345 at 14 degree of freedom for right-tailed test. Since our test statistics is less than the critical value of t as 0.824 < 1.345, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region.</em>

<em />

Therefore, we conclude that the mean speed of vehicles is lesser than or equal to 30 miles per hour which means that the county's claim is not supported.

4 0
3 years ago
Midpoint of (-2,-4) and (2,1)
Mice21 [21]
I got it =4/5 hope it’s right

7 0
3 years ago
If you dig a 6 ft hole how deep is that hole
7nadin3 [17]

Answer:

about 20 ft

Step-by-step explanation:

7 0
3 years ago
The length of a rectangle is six inches more than its width. If the perimeter of the rectangle is 24 inches, find its dimensions
Artemon [7]

Answer:

length= 9

width= 3

Step-by-step explanation:

x= width

length = x+6

x+6+x+6+x+x=24

4x+12=24

take 12 from both sides

4x= 12

x=3

8 0
3 years ago
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