please help with this i will mark

Answer:

2

Step-by-step explanation:

f(-1) = (-1)² + 3 = 1 + 3 = 4

f(3) = 3² + 3 = 9 + 3 = 12

average rate of change= [ f(3) - f(-1) ] ÷ [ 3-(-1) ] =

(12-4)÷(4) = 8÷4 = 2

the average rate of change is the slope of the drawn green line .

Answer:

Step-by-step explanation:

Find the unit rate for both the deals.

$20 for 5 shirts

Cost of one shirt = 20 ÷ 5 = $ 4

$24 for 8 shirts

Cost of 1 shirt = 24 ÷ 8 = 3

⇒ 8 shirts for $ 24 is the better deal

Answer:

B. I think it should be 4±[tex]2\sqrt{3}[/tex]. Correct me if I am wrong.

Step-by-step explanation:

Hope this helps!

The solutions of the given quadratic equation are x=+√12+4 or x=-√12+4.

Steps

Step 1: Divide all terms by a (the coefficient of x2).

Step 2: Move the number term (c/a) to the right side of the equation.

Step 3: Complete the square on the left side of the equation and balance this by adding the same value to the right side of the equation.

The given quadratic equation is 3x²-24x+40=28.

3x²-24x+40-28=0

3x²-24x+12=0

x²-8x+4=0

x²-8x=-4

Now, -8/2 =4 and square of 4 is 16.

Add and 16 on both sides of an equation, we get

x²-8x+16=-4+16

(x-4)²=12

x-4=±√12

x=±√12+4

x=+√12+4 or x=-√12+4

Therefore, the solutions of the given quadratic equation are x=+√12+4 or x=-√12+4.

Learn more about the completing square method here:

https://brainly.in/question/1112385.

#SPJ2

The horizontal position for the left edge of the image which Joelle should use to center the image = -4.46cm

We have been told that in the question that the horizontal positions to the right of the leftmost edge of the page are positive.

Given

Joelle is working on a school report on a word processor.

She wants to place an oversized image that is 30.51 cm wide so that it appears centered on the page.

The width of the page is 21.59 cm.

Width of the oversized image = 30.51cm

The first step is to subtract the width of the word processor page from the width of the oversized image.

30.51cm - 21.59cm

8.92cm is the space left

Since we have two sides, horizontal positions to the leftmost side and horizontal positions to the right of the leftmost edge of the page.

The next step is we divide 8.92 by 2

= 8.92cm ÷ 2

= 4.46cm

Automatically, the horizontal position for the left edge of the image which Joelle should use to center the image would the negative.

Therefore, horizontal position for the left edge of the image which Joelle should use to center the image = -4.46cm

To know more about the center of the image click the link given below.

https://brainly.com/question/2918113

The sector area created by the hands of a clock with a radius of 9 inches when the time is 4:00 is 27π square inches. Then the correct option is C.

It is a locus of a point drawn at an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

The sector area is created by the hands of a clock with a radius of 9 inches when the time is 4:00.

Then the radius (r) is 9 inches and the angle is 120°.

We know that the area of the sector is given by

[tex]\rm Area\ of \ sector = \dfrac{\theta}{360} \pi r^2 \\\\\\Area\ of \ sector = \dfrac{120}{360} \pi * 9^2\\\\\\Area\ of \ sector = 27 \pi[/tex]

The sector area created by the hands of a clock with a radius of 9 inches when the time is 4:00 is 27π square inches. Then the correct option is C.

More about the circle link is given below.

https://brainly.com/question/11833983

Answer:

the answer is log3 (2x+8)=log3 x²

Step-by-step explanation:

log3(2x^4+8x^3)-3log3x=2log3x

simplifying the above we get:

log3(2x^4+8x^3)=2log3x+3log3x

log3(2x^4+8x^3)=5log2x

Hence the answer should be:

log3 (x³)*(log3(2x+8))=5log3 x

3log3 x+log3(2x+8)=5log3 x

log3(2x+8)=5log3 x-3log3 x

log3 (2x+8)=2log3 x

log3 (2x+8)=log3 x²

Answer: 8 > u > 6. I hope it helps!

Answer:

Step-by-step explanation:

You can use synthetic division method.

P(x) =x² + x  - 2

(x + 2) is a factor.

Image attached.

Answer: Yes, because with each round table, the amount of chair goes up by 5.

Answer: More information.

Step-by-step explanation:

Please provide an actual problem, thanks!

Answer:

x=22

Step-by-step explanation:

Supplementary means that the two angles that are supplementary equal 180 degrees. 180-m<2=m<1

180-92=88 (m<2=92)

m<1=88

m<1=4x

4x=88

x=22

[tex]\qquad \qquad\huge \underline{\boxed{\sf Answer}}[/tex]

let's simply the expression ~

[tex]\qquad \sf  \dashrightarrow \: 10( - 8x + 7) - 9x[/tex]

[tex]\qquad \sf  \dashrightarrow \: (- 80x + 70 )- 9x[/tex]

[tex]\qquad \sf  \dashrightarrow \: - 80x - 9x + 70[/tex]

[tex]\qquad \sf  \dashrightarrow \: - 89x + 70[/tex]

Hope it helps ~

Answer:

Suppose N is the size of a population of radioactive atoms at a given time t, and dN is the amount by which the population decreases in time dt; then the rate of change is given by the equation dN/dt = −λN, where λ is the decay constant.

huh huh huh huh huh huh huh huh huh

Answer:

482.56667

Step-by-step explanation:

Have a great day hope it helps:)

Step-by-step explanation:

Make sure to see the photo I tried to explain every part there

The value of c that makes the equation true is: c = -13/21.

An equation is a mathematical statement whose values on the right and left sides are equal.

Given:

c + 15 = 23c + 2 − 43c

Find the value of c

c + 15 = -20c + 2

c + 20c = -15 + 2

21c = -13

c = -13/21

Thus, the value of c that makes the equation true is: c = -13/21.

Learn more about equation on:

https://brainly.com/question/15523338

The value of c which makes the equation c + 15 = 23c + 2 − 43c true is –13/21

c + 15 = 23c + 2 − 43c

The value of c in the expression above can be obtained as illustrated below:

c + 15 = 23c + 2 − 43c

Collect like terms

c – 23c + 43c = 2 − 15

21c = –13

Divide both side by 21

c = –13/21

Thus, from the calculation made above, we can conclude that the value of c which makes the equation true is –13/21

Learn more about algebra:

https://brainly.com/question/953809

Answer:  D. If he reads 13 pages each day, he will be 5 pages short of his goal.

Step-by-step explanation:

96/7

≈13.7

if he reads only 13 he wont reach his goal of 96

Answer:

Step-by-step explanation:

So for question 1, we can see that we have a 30 60 90 triangle with a hypotenuse of 9.

So therefore, y=9/2 and x=4.5sqrt3.

Answer:

Just one solution, u = -9

Step-by-step explanation:

-6u=9-5u

-u = 9

u = -9

Answer:

Just one solution, u = -9

Step-by-step explanation:

-6u=9-5u

-u = 9

u = -9

If the equation is -51u and u = 0,

then -51 (0) = 0

Hope that helps!

Answer:

 Plug it into desmos, and you're good to go.

The file below has the screenshot of the equation graphed.

Answer:

x = 56

Step-by-step explanation:

The sum of a triangle add up to 180, so add all of the angles in the triangle and equate to 180

x + x + 7 + x + 5 = 180

collect like terms to simplify

3x + 12 = 180

subtract 12 on both sides

3x = 180 - 12

3x = 168

divide 3 on both sides

x = 168 ÷ 3

x = 56

Each package weighs 6 pounds. Choose the best estimate of the total weight of the packages.2,400 pounds 240 pounds 200 pounds 20 pounds.

Answer:

1.000

Step-by-step explanation:

Answer:

you move the decimal 2 spaces

Step-by-step explanation:

So, the decimal is at the end of a number right? You move the end decimal two spaces to the right.

Example: make 2 into a percentage

2.00

----->two spaces

So, 2 = 200%

HOPE THIS HELPS

Answer:

Really simple!

All you have to do is take the decimal form of the number and multiply it by 100 and then add the percent sign

Step-by-step explanation:

Example 1: 10

Decimal form: 0.10

Convert it into a percent: 0.10 * 100 =10%

Example 2: 67.5

Decimal Point: 0.675

Convert it into a percent: 0.675 * 100 =67.5%

Since 0 < y < 1.5, hence the coordinate (1,1) is a solution

Given the following inequality expression

y>0

y< 2.5x - 1

Wee are to check if (1, 1) is a solution to the systen of equation

If x = 1

y < 2.5(1) - 1

Y < 2.5 - 1

y < 1.5

Since 0 < y < 1.5, hence the coordinate (1,1) is a solution

Learn more on inequality here: https://brainly.com/question/24372553

Answer:

24 degrees

Step-by-step explanation:

total degrees in a triangle is equal to 180 degrees.

180 - 132 = 48

since there are two unknown angles, we have 48 by 2 which is 24.

48/2=24 degrees

Answer:

[tex]\huge\boxed{\sf{x=24}}[/tex]

Step-by-step explanation:

Hello.

The sum of all three angles in a triangle = 180 degrees

Now, what is the value of x?

The 2 sides of the triangle are equal, thus, the angles are equal.

Write the equation

x+x+132=180

Combine like terms

2x+132=180

Subtract 132 from both sides

2x+132-132=180-132

2x=180-132

2x=48

Divide both sides by 2

x=24

I hope it helps.

Have a great day.

[tex]\boxed{imperturbability}[/tex]