Benjamin correctly graphed the quadratic function y = -3x2 + 5. Which of these is true of Benjamin's graph? A. The graph of the function is a line. B. The graph has a vertex at (0, -5). C. The graph has a maximum value at (0, 5). D. The graph is much wider than the original parent function y = x2.

Answer:

if you're talking about slope intercept then

y= 8/5x + 11/5

Answer:

Intercept on y-axis is

[tex]b=\frac{11}{5}[/tex]

Step-by-step explanation:

Equation of line in slope intercept form is given as

[tex]y=mx+b[/tex] ------(1)

where m is slope and b is y-intercept

Re-arranging g 8x-5y=-11 yields

[tex]y=\frac{8}{5} x + \frac{11}{5}[/tex]----------(2)

Comparing equation (1) and equation (2)

[tex]b=\frac{11}{5}[/tex]

Answer:

B

Step-by-step explanation:

using the equation 'y = 12x', if you plug in zero for 'x' you get zero for 'y'; the only graph that has the point (0, 0) is (b)

also, the x-axis represents time so, as time increases, so does the number of calories burned (which is measured on the y-axis) -- not staying flat or decreasing

Answer:

87z

Step-by-step explanation:

Answer:

The volume is increasing at a rate of 16286 in³/min.

Step-by-step explanation:

a) The volume of a cone is given by:

[tex] V = \frac{1}{3}h\pi r^{2} [/tex]

Where:    

r: is the radius

h: is the height

The rate of change of the volume can be calculated by using the chain rule:

[tex] \frac{dV}{dt} = \frac{\pi}{3}[\frac{dh}{dt}r^{2} + h\frac{d(r^{2})}{dt}] [/tex]

Since h = 4/3 r we have:

[tex] \frac{dV}{dt} = \frac{\pi}{3}[\frac{d(\frac{4r}{3})}{dt}r^{2} + \frac{4r}{3}\frac{d(r^{2})}{dt}] [/tex]

[tex] \frac{dV}{dt} = \frac{4\pi}{9}[\frac{dr}{dt}r^{2} + r\frac{d(r^{2})}{dt}] [/tex]        

[tex] \frac{dV}{dt} = \frac{4\pi}{9}[\frac{dr}{dt}r^{2} + 2r^{2}\frac{dr}{dt}] [/tex]    (1)    

With:

[tex]\frac{dr}{dt}[/tex] = 3 in/min

[tex]r = 3 ft*\frac{12 in}{1 ft} = 36 in[/tex]

And by entering the above values into equation (1) we have:

[tex] \frac{dV}{dt} = \frac{4\pi}{9}[(3 in/min)*(36 in)^{2} + 2*(36 in)^{2}*3 in/min] [/tex]

[tex]\frac{dV}{dt} = 16286 in^{3}/min[/tex]

Therefore, the volume is increasing at a rate of 16286 in³/min.

I hope it helps you!                                    

Answer:

54.91 i think!!

Step-by-step explanation:

Answer:

v=3

Step-by-step explanation:

SP and RQ are congruent, meaning that they are the same.

So, SP=RQ

We know that SP=5v and RQ=v+12

so plug those values into the equation

5v=v+12

then solve for v

4v=12

v=3

Answer: The price of the apartment.

Step-by-step explanation:

We know that for a given apartment, the number of bedrooms, bathrooms, and floor determines the price.

Then we could define the variables:

x = number of bedrooms.

y = number of bathrooms

z = floor.

And define the price of the apartment as a function of these variables:

p(x, y, z) = price

Then the independent variables are x, y, and z.

And the dependent variable (this is, the variable that changes in response to the changes in the independent variables) will be the price of the apartment.

Using function concepts, it is found that the dependent variable in this example is the price.

In this problem, price depends of the number of bedrooms, bathrooms, and the floor of an apartment, hence, the function is:

[tex]p = f(be, ba, fl)[/tex]

Which means that the dependent variable is the price.

You can learn more about dependent and independent variables at https://brainly.com/question/1429012

Answer:

14

Step-by-step explanation:

Two negatives equal a positive so

15+3-4

In order we solve from left to right

18-4

14

Our answer is 14!

Answer: 3x=-24

9x is 3(3x)= 3(-24)

9x=-72

X=-8

Step-by-step explanation:

Answer:

30.00

Step-by-step explanation:

20 Increased By 50% Is 30.00

Answer:

30

Step-by-step explanation:

20 divided by 2 = 10 + 20 = 30

Answer: C

Step-by-step explanation:

Answer: $7,605

Step-by-step explanation:

At the end of 1 years, the amount in the account will be:

= Principal * (1 + rate)^ no. of periods

= 6,500 * (1 + 17%)

= $7,605

Answer:

a=66m b=4.58cm

Step-by-step explanation:

a=5610 divided by 85=66 so 66m ×85 m =5610 meters squared

b=330cm ÷ 72 cm is 4.58. So 72×4.58=329.76 so rounded =330

In a right triangle, the sine of the angle opposite the side of length 4 cm is 0.8 cm.

In a right triangle, the sine of an angle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse.

The angle opposite the side of length 4 cm can be calculated as:

The hypotenuse is the side of length 5 cm.

The calculation of the sine of the angle can be calculated using the formula:

[tex]Sine = \dfrac{Opposite}{hypotenuse}[/tex]

Substitute the value in the given formula.

[tex]Sine(A) = \dfrac{4}{5}[/tex]

Sine(A) = 0.8

So, the sine of the angle opposite the side of length 4 cm is 0.8 cm.

Learn more about hypotenuse here:

https://brainly.com/question/29407794

#SPJ12

Answer:

the answer which you have opted is perfect

Answer:

$29.78

Step-by-step explanation:

1. make the % into a decimal

9.25% = 0.0925

2. multiply amount by the decimal to get the tax amount

$27.26 × 0.095 = $2.52

3. take the original amount and add the tax to get your final total

$26.27 + $2.52 = $29.78

Answer:1,000,000

Step-by-step explanation:THERE U GO :)

Answer:

14.168

Step-by-step explanation:

4.4 times 2.3= 10.12

1.4(10.12) = 14.168

Answer:

4.3 feets

Step-by-step explanation:

Given that:

Angle of elevation = 73°

Horizontal distance from foot of ladder to bottom of wall = x feets

Height of ladder = 14 feets

The horizontal distance, x :

Using trigonometry :

Tan θ = opposite / Adjacent

Tan θ = 14 / x

Tan 73 = 14 / x

3.2708526 * x = 14

x = 14 / 3.2708526

x = 4.2802295

x = 4.3 feets

Answer:

There is a loss of 2 yards.

Step-by-step explanation:

To find the overall gain or loss, we add or subtract there values.

Initially, we have 0 yards.

Records 14, so 0 + 14 = 14, that is, for now a gain of 14

Then loses 7, so 14 - 7 = 7, for now a gain of 7.

Then, 7 - 9 = - 2, so in all, there is a loss of 2 yards.

Answer:

M

Step-by-step explanation:

because it is equal on either side if you cut a line down the middle of the letter

The number of people who can fit into the stands in the stadium is 1,333 people

Space taken by each person = 18 inches

Length of a row of bleachers = 100 feet

Rows of bleachers = 20

1 feet = 12 inches

100 feet = 1200 inches

= 66.67 people

= 66.67 × 20

= 1,333.4

Approximately,

1,333 people can fit into the stands in the stadium

Learn more about unknown number:

https://brainly.com/question/4344214

Answer:

1/64

Step-by-step explanation:

Answer:

B edge 2022

Step-by-step explanation:

Answer:

710

Step-by-step explanation:

Answer:

x = 10 yd

Explanation:

These triangles are based on proportions. 12 yd is proportional to 18 yd, and x yd to 15 yd. We want to find x. We'll use the rule of three to calculate the unknown number.

12/18 = x/15

x = (12 · 15)/18

x = 10 yd (10 yards from the hut to the gold coins)

Answer:

There is no point of the form (-1, y) on the curve where the tangent is horizontal

Step-by-step explanation:

Notice that when x = - 1. then dy/dx becomes:

dy/dx= (y+2) / (2y+1)

therefore, to request that the tangent is horizontal we ask for the y values that make dy/dx equal to ZERO:

0 = ( y + 2) / (2 y + 1)

And we obtain y = -2 as the answer.

But if we try the point (-1, -2) in the original equation, we find that it DOESN'T belong to the curve because it doesn't satisfy the equation as shown below:

(-1)^2 + (-2)^2 - (-1)*(-2) - 5 = 1 + 4 + 2 - 5 = 2  (instead of zero)

Then, we conclude that there is no horizontal tangent to the curve for x = -1.

Answer:

( 2x+5) (5x-2)

Step-by-step explanation:

Answer:

1+33x=12

-1         -1

33x=11

33   33

x=0.3

:)