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3 years ago

Here's a graph of a linear function. Write the equation that describes that function. (If blurry zoom in.)

Mathematics

1 answer:

Lerok [7]3 years ago

4 0

Answer:

$y=\frac{1}{4}x+3$

Step-by-step explanation:

we know that

The linear equation in slope intercept form is equal to

$y=mx+b$

where

m is the slope

b is the y-intercept

Find the slope

Take two points from the graph

(0,3) and (4,4)

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute

$m=\frac{4-3}{4-0}$

$m=\frac{1}{4}$

The y-intercept is the point (0,3)

$b=3$

substitute

$y=\frac{1}{4}x+3$

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3x+6=15<br><br> solve for x<br><br> x= ?

mylen [45]

Answer: x=3

Step-by-step explanation: Subtract 6 from both sides, Simplify

15−6 to 9, and then divide both sides by three.

3x=15−6

3x=9

x=9/3

x=3

Hope this helps, have a BLESSED day! ☺️

5 0

2 years ago

Read 2 more answers

Help please less than 19 minutes to turn in

vagabundo [1.1K]

Angle K = angle M

(4x-1)=(2x+27)

4x-2x=27+1

2x=28

x=14

K=4x-1 then 4(14)-1
55 degrees
M=2x+27 then 2(14) +27
55 degrees
K+M+L =180
55+55+L=180
110+L=180
L=70 degrees
Therefore K=55 degrees M=55 degrees L=70 degrees

3 0

3 years ago

Will give the brains of me brains and my brains and maby ur brain to u how many brains can i give u if u ask this quetion right?

Mashcka [7]

Answer:

2.4 bags

Step-by-step explanation:

Uh you can keep your brains.

Using the data table, we get:

1, 2, 2, 3, 4 as our data.

Finding the mean:

(1+2+2+3+4)÷5=

12÷5=

2.4 bags

7 0

3 years ago

Hannah is at an arcade where each game requires her to use 2 tokens. She buys 40 tokens to begin. Let n be the number of games H

Alenkasestr [34]

Answer:

n = 12, she has played 12 games

Step-by-step explanation:

40 = 16 + 2n

24 = 2n

24/2 = n

n = 12

6 0

3 years ago

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