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saw5 [17]
3 years ago
7

The graph below plots a function f(x): graph of line segment going through ordered pairs 0, 100 and 3, 220 If x represents time,

the average rate of change of the function f(x) in the first three seconds is ___. Answer for Blank 1:
Mathematics
2 answers:
Katyanochek1 [597]3 years ago
7 0

Answer:

40

Step-by-step explanation:

Alja [10]3 years ago
5 0

m = (y2 - y1)/(x2 - x1)

m =(220 - 100)/(3 - 0)

m = 120/3

m = 40

Hope this helps!

~LENA~

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Express it in slope-intercept form.
natka813 [3]

Hey there! :)

Answer:

y = 1/4x - 3.

Step-by-step explanation:

Use the slope-formula to find the slope of the line:

m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}

Plug in two points from the line. Use the points (-4, -4) and (0, 3):

m  = \frac{-3 - (-4)}{0 - (-4)}

Simplify:

m = 1/4.

Slope-intercept form is y = mx + b.

Find the 'b' value by finding the y-value at which the graph intersects the y-axis. This is at y = -3. Therefore, the equation is:

y = 1/4x - 3.

7 0
3 years ago
Interior and Exterior Triangle Angles
k0ka [10]
Answer: 20.2
Add all the angles and set it equal to 180
Combine like terms
20x-2=180
X= 9.1

The equation for v is 2x+2
Replace x with 9.1 and then solve
3 0
3 years ago
Someone help me with number 8
Gnesinka [82]

Answer:

The answers are...:

The common ratio is -3

the sequence of the function is 2,-6, 18, -54, 162

and

the sequence of the function model is geometric

I hope this helps ^^"

Step-by-step explanation:

the common ratio is just from the -3 itself

the sequence model is just plugging n for every term so

a(1) would equal to 2, a(2)=-6 , a(3) would equal to -18, etc

and the geometric is bc it has the exponential that has (n-1), thus it is a geometric sequence

6 0
2 years ago
A rope of length 18 feet is arranged in the shape of a sector of a circle with central angle O radians, as shown in the
creativ13 [48]

Answer:

A(\theta)=\frac{162 \theta}{(\theta+2)^2}

Step-by-step explanation:

The picture of the question in the attached figure

step 1

Let

r ---> the radius of the sector

s ---> the arc length of sector

Find the radius r

we know that

2r+s=18

s=r \theta

2r+r \theta=18

solve for r

r=\frac{18}{2+\theta}

step 2

Find the value of s

s=r \theta

substitute the value of r

s=\frac{18}{2+\theta}\theta

step 3

we know that

The area of complete circle is equal to

A=\pi r^{2}

The complete circle subtends a central angle of 2π radians

so

using proportion find the area of the sector by a central angle of angle theta

Let

A ---> the area of sector with central angle theta

\frac{\pi r^{2} }{2\pi}=\frac{A}{\theta} \\\\A=\frac{r^2\theta}{2}

substitute the value of r

A=\frac{(\frac{18}{2+\theta})^2\theta}{2}

A=\frac{162 \theta}{(\theta+2)^2}

Convert to function notation

A(\theta)=\frac{162 \theta}{(\theta+2)^2}

6 0
3 years ago
Write -0. 18 repeating as a fraction in simplest form.
galina1969 [7]

Answer:

-2/11

Step-by-step explanation:

8 0
3 years ago
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