Given the function g(x)=−x^2+3x, which of the following is the correct limit definition of g′(2)?

Answer:

x = -5

Step-by-step explanation:

One is given a function and the value of the function at a certain output. One must set the function to the given output, and solve to find the input,

h(x) = - x - 2

h(x) = 3

Set the output equal to the input,

h(x) = - x - 2 = 3

Inverse operations,

- x - 2 = 3

    +2    +2

- x = 5

*-1   *-1

x = -5

Answer:

The graph has 2 solutions

Step-by-step explanation:

they are -5 & 3

Answer:

153

Step-by-step explanation:

k(9)=2×9^2-3/9

k(9)= 2×81-9

k(9)=153

Answer:

r=14 in

Step-by-step explanation:

The volume of a cylinder is given by:

[tex]v = \pi \times {r}^{2} \times h[/tex]

So,

[tex]r = \sqrt{ \frac{v}{\pi \times h} } = \sqrt{ \frac{196 \times \pi}{\pi \times 1} } = \sqrt{196} = 14[/tex]

Step-by-step explanation:

solution given.:

radius[r] =r

height[h]=1in

volume[V] of cylinder=196πin³

we have

volume[V] of cylinder=πr²h

196π=πr×1

r²=[tex] \frac{196π}{π}[/tex]

r=[tex] \sqrt{196} [/tex]

r=14in

so radius is 14in

Answer:

5 pizzas

Step-by-step explanation:

8people times 3slices = 24 slices needed

24slices/ 5 pizzas per box= 4.8   you cant buy 4.8 boxes of pizza, so you round it to 5 boxes.

Answer:

r = 6 cm

Step-by-step explanation:

C = 2πr

12π = 2πr

12π/2π = 2πr/2π

(The mistake is in the next step when calculating the division.

12π/2π = 6, same way 2πr/2π = r and NOT πr)

6 = r

r = 6 cm

Answer:

In which step did the student make an error?

Step

✔ 4

.

Solving for r, the length of the radius should be

✔ 6

cm.

Step-by-step explanation:

Answer:

$120.

Step-by-step explanation:

Just multiply 4 by 5 since it makes 20. Since we know that the price for 4 people is $24, you multiply 24 by 5 since you are paying for 20 people.

The Answer Is g(x)=1/3x^2

Use (3,3) to find the equation.

3^2x1/3=3

Meaning y or g(x) equals 3. Which is true.

Answer:

I'm pretty sure its (A)

g(x) = [tex]\frac{1}{3} x^2[/tex]

Answer:

5

2y

40

Step-by-step explanation:

Answer:

y = 5

Because [2y] is on both sides of the equation, 8y must be equal to [40] so that the equation is true.

Step-by-step explanation:

Combine like terms to find the value of y.

8y + 2y = 2y + 40

10y = 2y + 40

8y = 40

y = 5

As we can see, we ended with 8y = 40, and 2y is the only term on both sides of the equation.

Answer:

240

Step-by-step explanation:

It is 240 because that would be 3/5 of 400.

Answer: 2.5

Step-by-step explanation: r= sqrt(V/pi*h)

sqrt(171/(8.7)(3.14)

Step-by-step explanation:

solution given.:

radius=[r] let

height[h]=8.7in

volume[V] of cylinder=171in³

π=3.14

we have

volume[V] of cylinder=πr²h

171=πr×8.7

r²=[tex] \frac{171}{3.14×8.7}[/tex]

r=[tex] \sqrt{6.26} [/tex]

r=2.5in

so radius is 2.5in

Answer:

A. 5x° + (2x + 7)° = 90°

Step-by-step explanation:

Complementary angles add up to give us 90°.

From the given diagram, we have a part of the angles on a straight line as a right angle. Which means it is 90°. Therefore, the other two angles, 5x° and (2x + 7)° will add up to give us 90°. Thus, 5x° and (2x + 7)° are complementary angles.

Therefore:

5x° + (2x + 7)° = 90°

Answer:

y=x-3

-1＝2-3＝-1

............

Answer:800

Step-by-step explanation:

75% = 0.75

600/0.75 = x/1

Cross multiply:

0.75x = 600

Divide 0.75 to both sides:

x = 800

So the full does is 800mg.

Answer:

Here's li^{}

nk to the answer:

bit.^{}

ly/3a8Nt8n

Answer:

A

Step-by-step explanation:

formula is A=2a2+4ah

A= 2*5^2+4*5*5

A=50+100

A=150

Answer:

Robot truck robot

truck robot truck

robot robot robot

truck truck truck

Step-by-step explanation:

Answer:

A and B are correct

Step-by-step explanation:

Answer:

P=20%

Step-by-step explanation:

Let's suppose that each question in the test has one and only one correct answer. This means we have 1 desired outcome out of the total 5 desired outcomes. Therefore:

Probability=#of desired outcomes / #of possible outcomes

or

[tex]P=\frac{1 correct}{5 opctions}[/tex]

[tex]P=\frac{1}{5}[/tex]

P=0.20

P=20%

Answer:

Please see the image below.

Step-by-step explanation:

Answer:

Step-by-step explanation:

First

Answer: 27

Step-by-step explanation:

Answer: 3

Step-by-step explanation: Start off by solving the right side of the equation: 4 x 2 is 8 and 6 - 3 is 3, and then you must do 8 x 3 which is 24. Now, the equation should look like this: 24 = 4 x _ x 2. Next, you should go a step further with the left side of the equation by multiplying 4 and 2. Now, the equation should look like this: 24 = 8 x _. For the final step, you must divide 8 on both sides to solve for the missing number. Since 24 divided by 8 is 3, your answer is 3.

Answer:

Step-by-step explanation:

This is a translation of the absolute value function:

The function is:

Answer:

97.7

Step-by-step explanation:

Answer:

8 and 2/3 or 8.666666 forever

Step-by-step explanation:

Answer:

Part A

Yes

Part B

He will land at a point 30 meters from Cannon

Step-by-step explanation:

Part A

The given function that represent the path of the Cannon, which is the path of a parabolic arc, is presented as follows;

f(x) = -0.05·(x² - 26·x - 120)

We note that the height, 'h', of the path of a parabola at a horizontal distance, 'x' from the origin is equal to f(x)

Therefore, given that at the ground level, at the start and end of the flight, the f(x) = 0, we can write;

-0.05·(x² - 26·x - 120) = 0

∴ x² - 26·x - 120 = 0

x = (26 ± √((-26)² - 4 × 1 × (-120)))/(2 × 1)

Which gives;

x = 30 or x = -4

Therefore, he lands at a point 30 meters from the starting point

Therefore, the function gives enough information to tell where he will land

Part B

He lands at the point, x = 30 from the point the cannon was fired.