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cluponka [151]
3 years ago
12

If f(x) = -4x + 10, find f(3m)

Mathematics
1 answer:
ASHA 777 [7]3 years ago
3 0
Replace x by 3m
-12m+10
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Given the function f(x) = 4(2)x, section a is from x = 1 to x = 2 and section b is from x = 3 to x = 4. part
Aliun [14]
A. Average rate of change for x=1 to 2: 4(2²)-4(2)=16-8=8; from x=3 to 4: 4(2⁴)-4(2³)=64-32=32.
b. Section b is 32/8=4 times greater. As the exponent of 2 increases, the gaps between consecutive powers of 2 gets wider and therefore the rate of change is greater.
6 0
3 years ago
Helpp fast will name brainliest5. A worker drives 2 hours each day to work. Write an algebraic expression to represent the numbe
Alchen [17]
The first question is d 

i think the second one is c
8 0
3 years ago
Read 2 more answers
Brad bought a piece of industrial real estate for $192,345. The value of the real estate appreciated a constant rate per year. T
Zanzabum

Answer:

D. f(t) = 192,345(1.04)^t

Step-by-step explanation:

<em>I took the test and it was right. </em>

Also that is the original price and when you look at exponential functions, the starting point or original price is always first the then rate of increase. The table just shows how it increased in year 1 and 2.

Hope this helps. :)

4 0
3 years ago
Anty was riding his bike to school at a speed of 12 mph. When he was of the way there, he got a flat tire. His mother drove him
NemiM [27]

Complete question:

Anty was riding his bike to school at a speed of 12 mph. When he was <u>half </u>of the way there, he got a flat tire. His mother drove him the rest of the way at a speed of 48 mph. What was his average speed?

Answer:

His average speed is 19.2 mph

Step-by-step explanation:

Given;

speed of Anty to school half of the way, v₁ = 12 mph

speed of Anty when his mother drove him half of the way, v₂ = 48 mph

The average speed of Anty is calculated as;

V_{average} = \frac{Total \ distance }{Total \ time }

The value of the average speed is closer to 12 mph than 48 mph because Anty spent more time moving at 12 mph than at 48 mph.

Let the equal distance travel at each speed = 96 miles

Time taken at 12 mph = \frac{96 \ mile}{12 \ m/h} = 8 \ hours

Time taken at 12 mph = \frac{96 \ mile}{48 \ m/h} = 2 \ hours

Average speed = \frac{Total \ distance}{Total \ time } = \frac{96 \ mile \ + \ 96 \ mile}{2\ hr \ + \ 8\ hr} = \frac{192 \ miles}{10 \ hrs} = 19.2 \ mph

Also, you can assume any other equal distance traveled at each speed, the average speed will still be 19.2 mph.

<u>Check:</u> let the equal distance traveled at each speed = 480 miles

Time taken at 12 mph = 480/12 = 40 hours

Time taken at 48 mph = 480/ 48 = 10 hours

Average speed = (480 + 480) / (40 + 10)

                          = 19.2 mph

8 0
3 years ago
Adult entrance fees to amusement parks in the United States are normally distributed with a population standard deviation of 2.5
kondor19780726 [428]

Answer:  1.509

Step-by-step explanation:

The formula of Margin of Error for (n<30):-

E=t_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}

Given : Sample size : n= 22

Level of confidence = 0.99

Significance level : \alpha=1-0.99=0.01

Using the t-distribution table ,

Critical value : t_{n-1, \alpha/2}=t_{21,0.005}= 2.831

Standard deviation: \sigma=\text{ 2.5 dollars }

Then, we have

E=( 2.831)\dfrac{2.5}{\sqrt{22}}\approx1.509

Hence, the margin of error for a 99% confidence interval for the population mean =1.509

4 0
3 years ago
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