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boyakko [2]
3 years ago
7

Which expression below gives the average rate of change of the function g(x) = -x2 - 4x on the interval 6 ≤ x ≤ 8 ?

Mathematics
2 answers:
Scrat [10]3 years ago
7 0

Answer:

the first selection (see below)

Step-by-step explanation:

The average rate of change (m) on the interval [x1, x2] is given by ...

... m = (g(x2) -g(x1))/(x2 -x1)

For g(x) = -x²-4x and (x1, x2) = (6, 8), the expression is the one attached.

Papessa [141]3 years ago
3 0

Answer:

\frac{[-8^2 - 4(8)]- [-6^2 - 4(6)]}{8-6}

Step-by-step explanation:

average rate of change of the function g(x) = -x^2 - 4x on the interval 6 ≤ x ≤ 8

To find average rate of change we use formula

Average =\frac{g(x_2)-g(x_1)}{x^2-x_1}

use the given interval 6<=-x<=8

x2=8  and x1= 6

we replace the value in the given formula

g(x) = -x^2 - 4x

g(8) = -8^2 - 4(8)

g(6) = -6^2 - 4(6)

x2-x1 is 8-6

So equation becomes

\frac{[-8^2 - 4(8)]- [-6^2 - 4(6)]}{8-6}

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Solve by using elimination. Express your answer as an ordered pair.
olga55 [171]

Greetings.

The answer is (5,4)

Explanation:

Solving by elimination can be done by adding or subtracting of first and two equation.

Find any terms that make themselves = 0.

And that is the y-term.

Our 2y and -2y. If we add each others, we'd get 0 for y-term.

Therefore, we eliminate the y-term first.

\left \{ {{-x+2y=3} \atop {3x-2y=7}} \right. \\2x=10

If you are wondering how I get 2x = 10 then here's the explanation.

So we simply add/subtract both equations.

We do -x + 3x = 2x

Then +2y - 2y = 0

And 3 + 7 = 10

That's how we get 2x = 10.

Basically Add/Subtract in Vertical way.

2x=10\\x=5

We may get the x-value but we need to know the y-value too.

Therefore, substitute x = 5 into any given equations. I suggest you to substitute the x-value in any equations with less coefficient value.

I'd rather substitute x = 5 in -x+2y = 3.

-x+2y=3

Substitute x = 5 in -x + 2y = 3

-5+2y=3\\2y=3+5\\2y=8\\y=\frac{8}{2}\\y=4

Therefore, when x = 5, y = 4. Since you want the answer in ordered pairs then It's (5,4).

7 0
3 years ago
Please help me 80 points for who answers :)
Lana71 [14]

Answer:

the sum of two negative integers is a negative integer. true

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true

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6 0
3 years ago
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50 POINTS!!! The measures of the angles of a triangle are shown in the figure below. Solve for x.
tatyana61 [14]

Answer:

x = 5

Step-by-step explanation:

Add all of the angles together. We know that the third one is 90° because it is a right triangle and the little square indicates a 90° angle.

7x + 16 + 39 + 90 = 180


Simply.


7x + 145 = 180

     -145    -145

7x = 35

/7      /7

x = 5


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8 0
2 years ago
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If pp is inversely proportional to the square of qq, and pp is 24 when qq is 7, determine pp when qq is equal to 2.
dimulka [17.4K]

Answer:

Let me know

Step-by-step explanation:

6 0
3 years ago
My divisor is 4/7 and my quotient is 7/24. what is the dividend
kompoz [17]

Answer:

1/6.

Step-by-step explanation:

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Cross multiply:

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x = 28/(7*24)

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