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Darya [45]
3 years ago
15

Here’s a graph of a linear function. Write the equation that describes that function. (Zoom in if blurry)

Mathematics
1 answer:
uranmaximum [27]3 years ago
8 0

Answer:

Step-by-step explanation:

y=\frac{3}{2}x+1

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According to data from a medical​ association, the rate of change in the number of hospital outpatient​ visits, in​ millions, in
GaryK [48]

Answer:

a) f(t)=0.001155[\frac{2}{3}t(t-1980)^{3/2}-\frac{4}{15}(t-1980)^{5/2}]+264,034,000

b) f(t=2015) = 264,034,317.7

Step-by-step explanation:

The rate of change in the number of hospital outpatient​ visits, in​ millions, is given by:

f'(t)=0.001155t(t-1980)^{0.5}

a) To find the function f(t) you integrate f(t):

\int \frac{df(t)}{dt}dt=f(t)=\int [0.001155t(t-1980)^{0.5}]dt

To solve the integral you use:

\int udv=uv-\int vdu\\\\u=t\\\\du=dt\\\\dv=(t-1980)^{1/2}dt\\\\v=\frac{2}{3}(t-1980)^{3/2}

Next, you replace in the integral:

\int t(t-1980)^{1/2}=t(\frac{2}{3}(t-1980)^{3/2})- \frac{2}{3}\int(t-1980)^{3/2}dt\\\\= \frac{2}{3}t(t-1980)^{3/2}-\frac{4}{15}(t-1980)^{5/2}+C

Then, the function f(t) is:

f(t)=0.001155[\frac{2}{3}t(t-1980)^{3/2}-\frac{4}{15}(t-1980)^{5/2}]+C'

The value of C' is deduced by the information of the exercise. For t=0 there were 264,034,000 outpatient​ visits.

Hence C' = 264,034,000

The function is:

f(t)=0.001155[\frac{2}{3}t(t-1980)^{3/2}-\frac{4}{15}(t-1980)^{5/2}]+264,034,000

b) For t = 2015 you have:

f(t=2015)=0.001155[\frac{2}{3}(2015)(2015-1980)^{1/2}-\frac{4}{15}(2015-1980)^{5/2}]+264,034,000\\\\f(t=2015)=264,034,317.7

3 0
3 years ago
Write the unit rate for the situation traveling 1,200 mines in 4 h
maksim [4K]

Answer:

300 per hr

Step-by-step explanation:

5 0
3 years ago
5x-7y=-2<br> -5x-10y=-15
seraphim [82]

{5x-7y=-2

<u>{-5x-10y=-15     </u>(+)

<em>5x-5x-7y-10y=-17</em>

<em> </em>-17y=-17    /:(-17)

  y=1

<em /><em>5x-7 *1=-2</em>

<em />5x-7=-2    /+7

5x=5     /:5

x=1

<u>Solution:</u> (1; 1)   

8 0
3 years ago
Hi guys can you answer this question​
lesya [120]

Answer:

160403.47

Step-by-step explanation:

Please mark as brainliest

7.32*600=4392

4392*0.56= 2459.52

2459.52*3= 7378.56

7378.56/3.45=2138.71

2138.71*75= 160403.47

3 0
2 years ago
Read 2 more answers
What is the remainder when the following polynomial division is performed? (y^4 – y^3 + 2y^2 + y – 1)/(y^3 + 1)
stellarik [79]
Y4 - y3 + 2y2 + y - 1 over (y + 1) • (y2 - y + 1) <span>
</span>
7 0
3 years ago
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