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Ede4ka [16]
3 years ago
14

What is the average rate of change for f(x) = 2x + 2 over the interval -1 < x <1

Mathematics
2 answers:
MaRussiya [10]3 years ago
8 0

Answer:

the average rate of change for f(x) over the given interval is 2.

Step-by-step explanation:

The function f(x) = 2x + 2 has a straight line graph, and the slope of this line is always 2.  Thus, the average rate of change for f(x) over the given interval is also 2.

Korolek [52]3 years ago
7 0

Answer:

The average rate of change of f(x) over the interval −1 ≤ x ≤ 1 is -1.

Step-by-step explanation:

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Solve the system by using a matrix equation (Picture provided)
Katyanochek1 [597]

Answer:

Option b is correct (8,13).

Step-by-step explanation:

7x - 4y = 4

10x - 6y =2

it can be represented in matrix form as\left[\begin{array}{cc}7&-4\\10&-6\end{array}\right] \left[\begin{array}{c}x\\y\end{array}\right] = \left[\begin{array}{c}4\\2\end{array}\right]

A= \left[\begin{array}{cc}7&-4\\10&-6\end{array}\right]

X= \left[\begin{array}{c}x\\y\end{array}\right]

B= \left[\begin{array}{c}4\\2\end{array}\right]

i.e, AX=B

or X= A⁻¹ B

A⁻¹ = 1/|A| * Adj A

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                                    = (-42)-(-40)

                                    = (-42) + 40 = -2

so, |A| = -2

Adj A=  \left[\begin{array}{cc}-6&4\\-10&7\end{array}\right]

A⁻¹ =  \left[\begin{array}{cc}-6&4\\-10&7\end{array}\right]/ -2

A⁻¹ =  \left[\begin{array}{cc}3&-2\\5&-7/2\end{array}\right]

X= A⁻¹ B

X=  \left[\begin{array}{cc}3&-2\\5&-7/2\end{array}\right] *\left[\begin{array}{c}4\\2\end{array}\right]

X= \left[\begin{array}{c}(3*4) + (-2*2)\\(5*4) + (-7/2*2)\end{array}\right]

X= \left[\begin{array}{c}12-4\\20-7\end{array}\right]

X= \left[\begin{array}{c}8\\13\end{array}\right]

x= 8, y= 13

solution set= (8,13).

Option b is correct.

3 0
3 years ago
|2x-5|=9 please awnser i need this for math
7nadin3 [17]

Answer:

7

Step-by-step explanation

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divide by 2

8 0
2 years ago
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