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masha68 [24]
3 years ago
6

If f(x) = x2 + 2x + 3, what is the average rate of change of f(x) over the interval [-4, 6]?

Mathematics
1 answer:
a_sh-v [17]3 years ago
7 0

Calculating the value of f(x) for the given interval.

For x = - 4, f(x) = f(- 4) = (- 4)^2 + 2 (- 4) + 3 = 11

For x = 6, f(x) = f(6) = (6)^2 + 2 (6) + 3 = 51

Now using formula for the calculation of average rate of change of f(x) over the given interval of [- 4, 6];

(f(b) – f(a)) / b – a = (f(6) – f(- 4)) / 6 – (- 4) = (51 -11) / 10 = 4

<span>So option “E” is correct.</span>
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How do i solve systems of equations by elimination?
Vera_Pavlovna [14]
Say you had this problem:

-4x - 2y= -12
4x +8y = -24

First you would have to cancel out one part of the equation to get on variable alone. In this case it's easy it would be -4x and 4x. So then you would cancel those out.

Now we have

-2y= -12
8y =-24

so then you just add them all up

6y=-36

Next you just divide both sides by 6
so then you answer for y would be -6.

Next you would choose one of your equations and plug the -6 in.

So it would be

-4x -2 (-6) =-24

So you would times negative 2 by negative 6, which would be positive 12. Since a negative times a negative equales a positive.

-4x + 12= -24

Next you would minus 12 on both sides.

-4x + 12=-24
- 12 = -12

The 12's would cancel out and then you just minus -24 by -12 which you would ended up just plusing them together because a negative plus a negative equales a negative. Or a negative minus a negative number would end up adding them up.

-4x= -36

Next you would get x alone and how you would do that is you would divide -4 in both sides which would cancel them -4 out then it would be divided by -36.

So it would look like this.

-4x= -36
-4 -4

So negative 36 divided by negative 4 is 9.

So your final answer would be

y= -6
x= 9

I hope I explained to you properly how to do systems of equations by elimination.
8 0
3 years ago
Lily and Mackenzie collected some stamps. If Lily gave 4 stamps to Mackenzie, Mackenzie would have twice as many stamps as Lily.
vlabodo [156]

x-4=x(2)

x-4=2x

+4   +4

8 = 6

lilly has 8 stamps and mackenzie has 6

7 0
3 years ago
Please help
Vinil7 [7]

Answer:

$3,075

Step-by-step explanation:

Given, for a triangular sail (assuming its a right triangle)

base dimension = 15 feet

height = 20 feet

Area of sail,

= area of right triangle

= 1/2 x base x height

= 1/2 x 15 x 20

= 150 ft²

we are given that the price per squre foot is $20.50

hence cost of sail

= price per square foot x area of sail

= $20.50 x 150 ft²

= $3,075

6 0
3 years ago
The local animal shelter throws a dog-themed party. Humans, h, and dogs, d are both invited. The event space imposes two restric
lana66690 [7]
What type of math is this problem? Is it advanced?

6 0
3 years ago
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The large pizza has an area of 200.96 inches and the small pizza has an area of 113.04 inches.
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