find the slope of the following graph

a) 1/2
b) 2
c) -2
d) -1/2

Answer:

a) The average rate of change for the function [tex]f(x)=4(2)^x[/tex] over interval x=1 to x=2 is 8

b) The average rate of change for the function [tex]f(x)=4(2)^x[/tex] over interval x=3 to x=4 is 32

Step-by-step explanation:

We are given function [tex]f(x)=4(2)^x[/tex]

We need to find Average rate of change

The formula used is: [tex]Average \ rate \ of \ change=\frac{f(b)-f(a)}{b-a}[/tex]

Part a) The interval is: x=1 to x=2

We have a= 1 and b=2

Finding f(a) i.e f(1)

[tex]f(x)=4(2)^x\\Put \ x =1\\f(1)=4(2)^1\\f(1)=4(2)\\f(1)=8[/tex]

Now finding f(b) i.e f(2)

[tex]f(x)=4(2)^x\\Put \ x =2\\f(2)=4(2)^2\\f(2)=4(4)\\f(2)=16[/tex]

Now finding average rate of change.

[tex]Average \ rate \ of \ change=\frac{f(b)-f(a)}{b-a}\\Average \ rate \ of \ change=\frac{16-8}{2-1} \\Average \ rate \ of \ change=\frac{8}{1}\\Average \ rate \ of \ change=8[/tex]

So, average rate of change for the function [tex]f(x)=4(2)^x[/tex] over interval x=1 to x=2 is 8

Part b)

The interval is: x=3 to x=4

We have a= 3 and b=24

Finding f(a) i.e f(3)

[tex]f(x)=4(2)^x\\Put \ x =3\\f(3)=4(2)^3\\f(3)=4(8)\\f(3)=32[/tex]

Now finding f(b) i.e f(4)

[tex]f(x)=4(2)^x\\Put \ x =4\\f(4)=4(2)^4\\f(4)=4(16)\\f(4)=64[/tex]

Now finding average rate of change.

[tex]Average \ rate \ of \ change=\frac{f(b)-f(a)}{b-a}\\Average \ rate \ of \ change=\frac{64-32}{4-3} \\Average \ rate \ of \ change=\frac{32}{1}\\Average \ rate \ of \ change=32[/tex]

So, average rate of change for the function [tex]f(x)=4(2)^x[/tex] over interval x=3 to x=4 is 32

Since the interval is increasing, so does our average rate of change increasing as function is also increasing.

Answer:

YZ is located at Y (0, 1) and Z (-2, 1) and is one-third the size of Y'Z'.

Step-by-step explanation:

Since Y'Z' was dilated from the origin at a scale factor of 3, you can divide its X and Y coordinates by 3 to find the coordinates of YZ.

The statement fourth "segment YZ is located at Y (0, 1) and Z (−2, 1) and is one-third the size of segment Y prime Z prime" is correct.

The transformation dilation is used to resize an item. Dilation is a technique for making items appear larger or smaller. The image created by this transformation is identical to the original shape.

The question is incomplete.

The complete question is:

Segment Y prime Z prime has endpoints located at Y'(0, 3) and Z'(−6, 3). segment YZ was dilated at a scale factor of 3 from the origin. Which statement describes the pre-image?

As we know, in the dilation image of the two-dimensional figure can be larger or smaller depending on the dilation factor.

We have:
segment Y prime Z prime has endpoints located at Y'(0, 3) and Z'(−6, 3).

After dilation:

Y (0, 1) and Z (−2, 1)

Thus, the statement fourth "segment YZ is located at Y (0, 1) and Z (−2, 1) and is one-third the size of segment Y prime Z prime" is correct.

Learn more about the dilation here:

brainly.com/question/13176891

#SPJ5

Answer:

Ok what are we supposed to do?

Step-by-step explanation:

Answer:

1131

Step-by-step explanation:

2900 x .39 = 1131

Answer:

answer is 43

Step-by-step explanation:

Step-by-step explanation:

Area of triangle=1/2×base×Height

105=1/2×15×h

210=15×h

h=14inches

Answer:

x=3

Step-by-step explanation:

3x3=9

9+2=11

Brainliest plz :)

Answer:

X = 3

Step-by-step explanation:

3x + 2 = 11

3x = 11 - 2

3x = 9

X = 9/3

X = 3

Answer:

$41.11

Step-by-step explanation:

28.75 + (28.75 x 0.35) + (28.75 x 0.08)

Please mark brainliest and have a nice day

Full answer is 41.1125

Answer:

The answer would be C. I believe it is C. The force believes it is C. So put C.

Answer:

17.5-b=12.5 (b=5)

3/2+b=5 (b=7/2)

b+6=15 (b=9)

27 / b= 3 (b=9)

4 x b = 14 ( b=7/2)

Step-by-step explanation:

Answer:

22 cm

Step-by-step explanation:

Answer:

b. $304.62

Step-by-step explanation:

Just took the test and got it right

The cost of the hardcoer dictionary today given the CPI is  $304.62.

The consumer price index measures the percentage in the price of a basket of goods. It is used to measure inflation.

Cost of the hardcoer dictionary today = $145.75 x (209/100) = $304.62

To learn more about, consumer price index, please check: https://brainly.com/question/26382640

I believe its the first one, think of it like a mirror you would flip the shape which would do make x negative and y positive, sorry if im wrong

Answer:

48.9 and 50.5 are rejected.

Step-by-step explanation:

Since the standard deviation shows the spread of the values of the voltages, we need to find the mean of the values and use the standard deviation to find the minimum and maximum voltage allowed.

So mean μ = Σx/N where x = individual values of voltage and N = number of values = 10

So, μ = Σx/N

= (49.3 + 50.1 + 48.9 + 49.2 + 49.7 + 50.5 + 49.9 + 49.3 + 49.8 + 50.2)/10

= 496.9/10

= 49.69

≅ 49.7 V

So, the acceptable values of voltage are in the range μ ± σ where σ = standard deviation = 0.50 V.

So, the acceptable values of voltage are in the range 49.7 ± 0.50 V

So, minimum value = 49.7 V - 0.50 V = 49.2 V

and maximum value = 49.7 V + 0.50 V = 50.2 V

So any voltage outside the range 49.2 V ≤ x ≤ 50.2 V is rejected.

There are two values outside this range which are 48.9 and 50.5. So these two values are rejected.

Answer: 135

Step-by-step explanation:

remember PEMDAS

3^3=27

(27*10)/2=270/2=135

Answer:

24.9476

Step-by-step explanation:

55= 24 kilo. but since its 2.2 pounds its gonna be the answer i said (i think) Hope this helps

Answer:

24.94

Step-by-step explanation:

this is the answer

Step-by-step explanation:

First, replace f(x) with y ⇒ f(x)=6x-19 ⇒ y=6x-19

Then y with x and x with y  ⇒ y=6x-19 ⇒ x=6y-19

Solve the equation from for y:

           x=6y-19

           x+19=6y dividing with 6

           1/6 x +(19/6) = y

Replace y with f−1(x) ⇒ f−1(x)= 1/6 x +(19/6)

hope this helps!

[tex]f(x)=2x^2+6x-4\\[/tex]

Find f(-5) by substituting x = -5 in the equation.

[tex]f(-5)=2(-5)^2+6(-5)-4\\f(-5)=2(25)-30-4\\f(-5)=50-34\\f(-5)=16[/tex]

Therefore, the answer is f(-5) = 16

Answer:

f(-5)=126

Step-by-step explanation:

what you would do first is plug -5 in for x which would give you the equation of f(-5)= 2(-5)^2 + 6(-5) -4

then you multiply the negative 5 and you will get

f(-5)= -10^2 + 30 -4

remove that square by multiplying -10 by -10 and you will get

f(-5)= 100 + 30 -4

combine like terms and you will get

f(-5)=126

i hope this helped you and that i explained it to you in a way that you understand

Answer: it is c because there is 4 balls for red and 3 balls for clear not the same there is more possibility for red

Step-by-step explanation:

Answer:

The answer is C.

Answer:

x

Step-by-step explanation:

bc the coefficient of x is 1 and that's invisible so it's x

Probability = the number of ways of achieving success (getting the desired outcome).

P(E) = event with the desired outcome/total no. of events

P(E) = 7/60

Answer: i need help on this one to

Step-by-step explanation:

Answer:

6 just trust me

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

im pretty sure that's the right answer!! let me know if I'm right

Answer:2 max because exponet

Answer:

b bbb bbhdixbxidndidjd