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Kaylis [27]
3 years ago
11

The graph shows the quadratic function f(x) .

Mathematics
2 answers:
hichkok12 [17]3 years ago
6 0
(f(8)-f(4))/(8-4)

(4-12)/4

-8/4

-2

 the average rate of change is -2.
Hope this helps.

Irspow i know are answers are similar but its the only way i could give all the useful information needed for this question so AlwaysFancyNancy could understand the problem for the question hope you understand.
Rom4ik [11]3 years ago
3 0
The average rate of change is the change in y divided by the change in x...

(f(8)-f(4))/(8-4)

(4-12)/4

-8/4

-2

So the average rate of change is -2.
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Given 4/ (-2 - 6sin(theta)) What type of directrix does this conic have?
atroni [7]

Answer:

a horizontal line

Step-by-step explanation:

The hyperbola opens vertically, so the directrix is a horizontal line (a different one for each branch).

6 0
3 years ago
You have 220 meters of fencing to create a rectangular field. What should the dimensions of the field be in order for the area t
Brrunno [24]

I honestly dont know, the only idea I have is to divide 1800 by 4 to see how much.

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3 years ago
Please, someone help me. 3/4x-7=8
Cloud [144]

Answer:

x= 20

Step-by-step explanation:


6 0
3 years ago
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Use calculus to find the area of the triangle with the vertices (0, 5), (2, -2), and (5, 1).
guajiro [1.7K]

The area of the triangle with the vertices (0, 5), (2, -2), and (5, 1) by using the calculus is  21 square unit.

We need to find the equation among all possible pairs and then integrate the equations from one co-ordinate to another co-ordinate

Equation of line passing through (0,5) and (2,-2) is

y-5 = [(-2-5)/(2-0)](x-0)

=>y-5 = (-7) /2x

=>y= (-7/2x)+5 -------(eq1)

Equation of line passing through (0,5) and (5,1) is

y-5 = [(1-5) / (5-0)](x-0)

=>y-5 = (-4/5)x

=>y = (-4/5)x+5-------(eq2)

Equation of line passing from (2,-2) and (5,1) is

y-(-2) = [[1 - (-2)] / (5-2)] / (x-2)

=>y+2=(3/3)(x-2)

=>y=x-4--------(eq3)

Now, we use definite integration to find the area between the different equation of line.

So, area enclosed between the equations is given by the

area =\int\limits^5_2[(-4/5)x+5 - (-7/2)x + 5)dx  + \int\limits^5_1[(-4/5)x+5 -(x-4)]dx

=>area=\int\limits^5_2(7/2-4/5)x dx + \int\limits^5_1((-9/5)x+9)dx

Using properties of integration,\int\limits x\, dx=x^{2}/2

=>area=\int\limits^5_2(27/10)x dx + \int\limits^5_1(-9/5)x+9)dx

=>area=([27/10)×[5² - 2²])/2 + [ (-9/5)×(5²-1²) ]/2 +9×(5-1)

=>area=(27/20)×(25-4) + (-9/5)×24+9×4

=>area = (27×21)/20 + (-216)/5+ 36

=>area=(567/20) - (216/5) + 36

=>area= [(567-261×4)+(36×20)]/20

=>area=[(567-864)+720]/20

=>area=423/20

=>area=21 square unit.

Hence, area of triangle is 21 square unit.

To know more about area of triangle, visit here:

brainly.com/question/19305981

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4 0
1 year ago
PLEASE HELP!! 40 PTS
sasho [114]

Answer:

y ≤ −2x + 3

y ≤ x + 3

Step-by-step explanation:

they both share the slope of 3.

line a has a slope of -2

line b has a slope of 1

the sign ≤ means that the inequalities have a solid line and there below the line.

please mark brainliest :)

4 0
3 years ago
Read 2 more answers
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