above is a table that shows a proportional relationship. What value should replace the question mark?

f(x)=2x^2-8x from x=2 to x=5. Simplify your answer as much.

We need to find [f(b) - f(a)]/(b - a).

Let a = 2

Let b = 5

f(2) = 2(2)^2 - 8(2)

f(2) = 8 - 16

f(2) = -8

We now find f(5).

f(5) = 2(5)^2 - 8(5)

f(5) = 50 - 40

f(5) = 40

[f(5) - f(2)]/(5 - 2)

(40 - (-8))/(3)

(40 + 8)/3

48/3 = 16

The average rate of change is 16.

Answer:

the cordnate for X is 2 the cordnate for Y is -2

Answer: the coordinate for X is 2 the coordinate for Y is -2.

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.

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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

um here’s the graph

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:

the answer is D

Step-by-step explanation:

because the! ABC moved 7 points and reflected over line p

Answer:

Um, what is 푦푦?

Step-by-step explanation:

Answer:

Yes, but actually yes.

Step-by-step explanation:

Answer:

Domain: [tex]-6 \leq x \leq 3[/tex]

Range: [tex]-3 \leq x \leq 6[/tex]

Step-by-step explanation:

The domain is the set of real values which can be inputted into a function and produce a real output. In this case, the domain is the following: [tex]-6 \leq x \leq 3[/tex], because this is the set of real values for which the function will produce a real output.

The range is the set of real values which a function outputs when a value from the domain is entered into the function. This is the set of y-values that one can see on the graph, the possible y-values are in between (-3) and (6).

Answer:

52.76= 52+0.7+52.76

Step-by-step explanation:

Answer:

Step-by-step explanation:

236, did on edge

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.

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Answer:

17/15 _53/6

Step-by-step explanation:

The other is problem 1 and the other is problem 2

PROBLEM #1:

As the problem is, we are adding a negative. I can change this to be a subtraction problem. It looks like this: [tex]2\frac{1}{3} - 1\frac{1}{5}[/tex].

To be able to add or subtract fractions/mixed numbers, we have to first get common denominators. A common denominator is a shared multiple between two numbers. So, we need to find the smallest number that both 3 and 5 (the denominators of each fraction) can do into evenly. In this case, that number is 15! To transform the fractions to have common denominators, we will multiply 1/3 by 5/5 and 1/5 by 3/3 (multiply the top and bottom by 5 or 3 so that the denominator is 15). Here is our new problem: [tex]2\frac{5}{15} - 1\frac{3}{15}[/tex].

All that's left to do now is subtract! Since our first fraction is larger (this is important!) we don't need to do any borrowing. So, we'll subtract 2 - 1 = 1, and 5/15 - 3/15 = 2/15. Therefore, if we put those pieces back together, we get 1 2/15 ([tex]1\frac{2}{15}[/tex]).

PROBLEM #2:

For this problem, we have two negative mixed numbers. In this case, we will simply be adding the negative numbers because both are negative. For example, -2 + -4 = -6. Here is the rewritten problem: [tex]-3\frac{1}{2} + -5\frac{1}{3}[/tex].

Our first step is to get common denominators. In this case, that common denominator will be 6: [tex]-3\frac{3}{6} + -5\frac{2}{6}[/tex].

Now, we have to add! -3 + -5 = -8, -3/6 + -2/6 = -5/6. Once we've added the parts, we can put them back together to form the answer: -8 5/6 ([tex]-8\frac{5}{6}[/tex]).

Hope this helps!! :)

Answer: 75 coins total, 51 nickels and 24 dimes.

Step-by-step explanation:

Answer:

1,007,760

Step-by-step explanation:

This is a question that bothers on selection

Using the combination formula

nCr  = n!/(n-r)!r!

20C12 = 20!/(20-12)!12!

20C12 = 20!/8!12!

20C12 = 20*19*18*17*16*15*14*13*12!/8!12!

20C12 = 20*19*18*17*16*15*14*13/8!

20C12 = 20*19*18*17*16*15*14*13/8*7*6*5*4*3*2

20C12 = 5,079,110,400/5040

20C12 = 1,007,760

Hence this can be done 1,007,760 different ways

Answer:

RP = 8

Step-by-step explanation:

RQ + QP = RP (segment addition theorem)

(x + 1) + 7 = 2x + 8 (substitution)

Add like terms

x + 8 = 2x + 8

8 - 8 = 2x - x

0 = x

x = 0

✔️RP = (x + 1) + 7

Plug in the value of x

RP = (0 + 1) + 7

RP = 1 + 7

RP = 8

Answer:

[tex]5.77\ \text{m}[/tex]

[tex]11.54\ \text{m}[/tex]

Step-by-step explanation:

p = Height of pole

h = Length of role

b = Distance between the bottom of the rope and bottom of the pole = 10 m

[tex]\theta[/tex] = Angle between the rope and the ground = [tex]30^{\circ}[/tex]

[tex]\tan\theta=\dfrac{p}{b}\\\Rightarrow p=b\tan\theta\\\Rightarrow p=10\tan30^{\circ}\\\Rightarrow p=5.77\ \text{m}[/tex]

The length of the rope is [tex]5.77\ \text{m}[/tex]

[tex]\cos\theta=\dfrac{b}{h}\\\Rightarrow h=\dfrac{b}{\cos\theta}\\\Rightarrow h=\dfrac{10}{\cos30^{\circ}}\\\Rightarrow h=11.54\ \text{m}[/tex]

The length of the pole is [tex]11.54\ \text{m}[/tex]

Answer:

Step-by-step explanation:

Assume each player get x cards. Total number of cards now is 4x+24=52.

Therefore, 4x=52-24=28.

Then, x= 28/4=7.

$11, 162.78 amount she have in this account if she keeps it for 5 years.

Future value (FV) is a financial concept that provides a monetary worth to an asset depending on future variables such as interest rates or cashflows. An investor may find it valuable to know how much their investment will be worth in five years given a projected rate of return. Future value is calculated by taking the investment value now, applying predicted growth, and estimating what the investment will be in the future.

We have,

P = $10,000

R= 2.2%

T= 5 years

So, Amount after 5 years

= P (1 + r/2[tex])^{2t[/tex]

= 10,000 (1 + 0.011[tex])^{0.022(5)}\\[/tex]

= $11, 162.78

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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:

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:

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.

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Answer:

Step-by-step explanation:

Answer: It is C, The director selects adoptable pets ID numbers at random from each shelter!

Step-by-step explanation: I took the quiz on A P E X^^

Answer:

scalene right

Step-by-step explanation:

A scalene right has no equal side lengths, has a right side(90) and will have two angles less than 90 because all three triangle sides need to equal to be 180. So scalene right is your answer. Hope that helped!

Answer:

-1/2

Step-by-step explanation:

I think not 100% sure tho

Answer:

“multiply by 2 and then subtract 1.

Step-by-step explanation:

2+x-7≤0

(2-7=-5)

x-5≤0

 +5 +5

x≤5

---

hope it helps

Answer:

(-2, -7), (0, -3), (2, 1)

Step-by-step explanation:

Equation is given as y = 2x - 3.

To complete the table, plug in each value of x into y = 2x - 3 to get their corresponding y-value.

✔️When x = -2:

y = 2(-2) - 3

y = -4 - 3

y = -7

✔️When x = 0:

y = 2(0) - 3

y = -3

✔️When x = 2:

y = 2(2) - 3

y = 4 - 3

y = 1

Answer:

1

Step-by-step explanation:

As all the others suggest more than two which is what the graph shows

Answer:

y=8/3x-4

Step-by-step explanation:

use the app photomath to get the answers or socratic there free and will help you on homework or tests

Answer:

Step-by-step explanation:

8x-3y=12

-3y=12-8x

y=(12/-3)-8x/(-3)

y= -4+8/3x

slope= 8/3

y-int=-4