Question 10
The graph of a function includes the points (4, 5) and (21, 39).
What is the rate of change of the function?
A
2
B
34
с
17
D
0.5

Answer: 76

Step-by-step explanation:

Answer:

125 X 40% = 50.00

50.00 is the increase from the markup rate

Answer is 40%

Step-by-step explanation:

Answer:56

Step-by-step explanation:

Answer:

Move the decimal two places to the right and add a percent sign.

Step-by-step explanation:

.15= 15%

1.25= 125%

.06= 6.0, or 6%

Answer:

To convert a percent to a decimal, we move the decimal point 2 places to the left, just as we did when we were dividing by 100.

Step-by-step explanation:

Answer:

[tex] \frac{5}{3} [/tex]

~ See attatchment

Step-by-step explanation:

I'm unsure what you want me to do here, so I drew a graph (using Desmos) and the slope.

The slope is given, 5/3. The slope-intercept equation is usually y = mx + b -- m being the slope and b being the y-intercept.

Hi!

Let's check if the equation that we're going to work with is in slope-intercept form.

Remember, the slope-intercept formula is:

                                   [tex]\diamondsuit~~~\boldsymbol{y=mx+b}[/tex]

Where:

Details:

[tex]\boxed{\\\begin{minipage} {8cm}\sf{Slope = coefficient \ of \ x, \ or \ the \ number \ before \ x.}\\\sf{Y-intercept = \ a \ number \ added \ to \ or \ subtracted \ from \ the \ slope.} \end{minipage}}[/tex]

Therefore:

[tex]\stackrel{\heartsuit}{\boxed{\boxed{\textsc{Slope:}\quad\boldsymbol{\displaystyle\frac{5}{3}}}}}[/tex]

I hope I helped, have a wonderful day!

If you need any explanation or clarification, reach out to me, I'm always happy to help. :D

Answer:

Step-by-step explanation:I’m not smart because I am get fs

9514 1404 393

Answer:

  5) 112°

  6) 40°

Step-by-step explanation:

5) The angle E or ? is half the sum of the intercepted arcs:

  ? = (130° +94°)/2 = 112°

__

6) The angle D is half the difference of the intercepted arcs:

  ? = (135° -55°)/2 = 40°

Answer:

The common difference between successive terms in the sequence is -0.1

Step-by-step explanation:

Common difference in an arithmetic sequence:

In an arithmetic sequence, the difference between consecutive terms is always the same, and this difference is called common difference.

0.36, 0.26, 0.16, 0.06, -0.04, -0.14

Subtraction of each term by its predecessor. So

0.26 - 0.36 = 0.16 - 0.26 = -0.1

The common difference between successive terms in the sequence is -0.1

Answer:

f(x) > h(x) > g(x)

Step-by-step explanation:

For the average rate of change of a function between x = a and x = b,

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

From the table given,

Average rate of change of function 'f' between x = 1 and x = 3,

Average rate of change = [tex]\frac{f(3)-f(1)}{3-1}[/tex]

                                        = [tex]\frac{15-7}{3-1}[/tex]

                                        = 4

For the function 'g',

g(x) = 2x² - 18x

Average rate of change = [tex]\frac{g(3)-g(1)}{3-1}[/tex]

g(3) = 2(3)²- 18(3)

      = 18 - 54

      = -36

g(1) = 2(1)² - 18(1)

      = 2 - 18

      = -16

Therefore average rate of change = [tex]\frac{-36+16}{3-1}[/tex]

                                                         = -10

From the graph attached,

Average rate of change of the graph between x = 1 and x = 3,

Average rate of change = [tex]\frac{h(3)-h(1)}{3-1}[/tex]

h(3) = 7.5 [Although the graph is not clear]

h(1) = 2

Average rate of change = [tex]\frac{7.5-2}{3-1}[/tex]

                                        = 2.75

Therefore, order of rate of change (from greatest to the least) for the given functions will be,

f(x) > h(x) > g(x)

Answer:

52.76= 52+0.7+52.76

Step-by-step explanation:

Answer:

The image is (-16,-14)

Step-by-step explanation:

Given

Represent the point with A

[tex]A = (-8,-7)[/tex]

[tex]Scale\ factor = 2[/tex]

Required

Determine the image (A')

The image is calculated as:

[tex]A' = A * Scale\ factor[/tex]

[tex]A' = (-8,-7) * 2[/tex]

So, we have:

[tex]A' = (-8* 2,-7* 2)[/tex]

[tex]A' = (-16,-14)[/tex]

Hence, the image is (-16,-14)

Answer:

i think it's 14:1 i can't understand 503500.

Answer:

144

Step-by-step explanation:

The best way to attempt this question is to solve it using a Venn diagram

From the given information, Let;

D = documentaries

I = interview shows

G = game show reruns

From the images attached below, we will see how the Venn diagrams are being drawn step by step and calculated.

i.e

= 300 - (90 + 60 + 24 + 6 + 12 + 18 + 24)

= 300 - 234

= 66

∴

No of those interested in exactly one kind of show = 66 + 60 + 18

= 144

∴[tex]\text{144 are interested in exactly one kind of show.}[/tex]

Answer:

Step-by-step explanation:

236, did on edge

Answer:

1 biodata is on my class then you will contact or person

Answer:

hey

Step-by-step explanation:

Using it's concept, it is found that the average rate of change of the height of the rocket during its descent is given by:

D. -16 ft/sec​

It is given by the change in the output divided by the change in the input.

In this problem, the input changed from 0 s to 3 s, while the output changed from 48 ft to 0 ft, hence:

r = -48 ft/3 s = -16 ft/s

Hence option D is correct.

More can be learned about the average rate of change at https://brainly.com/question/24313700

Answer:

hes in debt 345 dollars

Step-by-step explanation:

The dimension of the box is 12 by 7 by 8

The volume of the box = lwh

Given the following

l = w

w = w - 5

h = w - 4

Hence;

w(w-5)(w-4) = 56w

Expand to have

(w^2-5w)(w-4) = 56w
w^3 - 4w^2 - 5w^2 + 20w = 56w
w^3 -9w^2 - 36w = 0

Factorize to get the value of w;

w(w^2-9w-36)=0

w^2 - 12w + 3w - 36 = 0

w(w-12) + 3(w-12)= 0
w = -3 and 12

Hence the dimension of the box is 12 by 7 by 8

Learn more on volume of box here: https://brainly.com/question/15532376

Answer:1

Step-by-step explanation:

How Do You Find the X- and Y-Intercepts of a Line in Slope-Intercept Form? To find the x-intercept of a given linear equation, plug in 0 for 'y' and solve for 'x'. To find the y-intercept, plug 0 in for 'x' and solve for 'y'. The Y-Intercept of a line is the point where a line's graph intersects (crosses) the Y-axis. A y-intercept of 3 means that a line's graph intersects the Y-axis at the point (0, 3). A y-intercept of -4 means that the graph of a line crosses the Y-axis at the point (0, -4).

9514 1404 393

Answer:

  120

Step-by-step explanation:

The number of permutations of 5 things taken 4 at a time is 120.

__

There are 5 odd digits. You want to choose 4 of them, then arrange those 4 in all possible ways. There are 5·4·3·2 = 120 ways to do that.

120 4-digit codes can be formed using odd digits with no repetition.

Answer:

75,000

Reason: 25 percent of 60,000 is 15,000. Since the population increased 25 percent more of 60,000, we add 15,000 to 60,000. Thus, the answer is 75,000

um here’s the graph

Answer:

15.3

Step-by-step explanation:

because 15 is the number I think

Answer:

9

Step-by-step explanation:

Slope is the same as coefficient of x

From the equation

3x+4y=12

Y=(-3/4)x+3

The slope for this eqn is -3/4

For this equation

Px+12y=30

12y=-p+30

Y= (-p/12)x +30/12

The slope is -p/12

To get p

-p/12=-3/4

P=9

The value of "p" is 9 for the pair equations  [tex]3x + 4y = 12[/tex], [tex]px + 12y = 30[/tex] which do not have a unique solution. The condition for the pair of equations that do not have a unique solution is that their slopes are equal i.e., [tex]m_1=m_2[/tex].

A system of linear equations can have,

Given pair of equations

[tex]3x + 4y = 12\\px + 12y = 30[/tex]

Representing them in the slope-intercept form:

[tex]y=-\frac{3}{4} x+3\\y=-\frac{p}{12}x+\frac{5}{2}[/tex]

As we know that the slope of an equation in the form [tex]y=mx+c[/tex] is m

So,  for the two equations slopes are,

[tex]m_1=-\frac{3}{4}[/tex] and

[tex]m_2=-\frac{p}{12}[/tex]

Since it is given that there is no unique solution for the given pair of equations we can write,

[tex]m_1=m_2[/tex]

⇒[tex]-\frac{3}{4} =-\frac{p}{12}[/tex]

⇒[tex]p=9[/tex]

Therefore, the value of "p" when the pair of equations [tex]3x + 4y = 12[/tex] and [tex]px + 12y = 30[/tex] do not have a unique solution is 9.

Learn more about linear equations here:

https://brainly.com/question/7563683

#SPJ2

Step-by-step explanation:

Slope is equal to the change in y over the change in x, or rise over run.

[tex]m = \frac{change \: in \: y}{change \: in \: x} [/tex]

The change in x is equal to the difference in x-coordinates, and the change in y is equal to the difference in y-coordinates.

[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]

Substitute in the values of x and y into the equation to find the slope.

[tex]m = \frac{9 - (8)}{10 - (6)} [/tex]

Simplify.

[tex]m = \frac{1}{4} [/tex]

Therefor, the slope is 1/4.

Answer:

Answer:

assuming that the figure is a parallelogram:

area = base x height

area = (x + 3) (2x) = 2x² + 6x

Step-by-step explanation:

Answer:

Step-by-step explanation:

The sine function is:

f(x) = -2*sin(x/2) + 3.

So you got it almost correctly, you only forgot to apply the reflection.

We start with the general sine function:

[tex]a*g(w*x + p) +m[/tex]

where g(x) = sin(x)

f(0) = 2*sin(w*0 + p) + 3 = 3

      = 2*sin(p) + 3 = 3

Then we must have p = 0, so there is no phase shift.

We also know that we have a reflection over the x-axis of the parent sine function, we would actually have:

f(x) = 2*-sin(wx) + 3

Finally, to get the value of k we know that the period of the general sine function is 2*pi, while here is 4*pi, then we must have w = 1/2 to get the correspondent correction, so the function is:

f(x) = -2*sin(x/2) + 3.

This is almost the same thing that you got in the graph, where you only forgot to apply the reflection over the x-axis of the parent function.

If you want to learn more about sinusoidal functions, you can read:

https://brainly.com/question/18055768

Answer:

I know this is a year late, but I took this test it was quite challenging so here is my answer for you I took a picture of the graph because it's hard to graph without any reference pictures

hope this helps