Determine the range of the following graph: ​

The velocity of the car is the rate of change of distance over time.

The car comes to a complete stop at 12 seconds

The velocity function is given as:

[tex]\mathbf{V(t) = 0.5t^2 - 8t + 24}[/tex]

When the car comes to a complete stop, V(t) = 0.

So, we have:

[tex]\mathbf{0.5t^2 - 8t + 24 = 0}[/tex]

Expand

[tex]\mathbf{0.5t^2 - 6t - 2t + 24 = 0}[/tex]

Factorize

[tex]\mathbf{0.5t(t - 12) - 2(t - 12) = 0}[/tex]

Factor out t - 12

[tex]\mathbf{(0.5t - 2)(t - 12) = 0}[/tex]

Split

[tex]\mathbf{(0.5t - 2) =0\ or\ (t - 12) = 0}[/tex]

Solve for t

[tex]\mathbf{0.5t =2\ or\ t = 12}[/tex]

This gives

[tex]\mathbf{t =4\ or\ t = 12}[/tex]

12 > 4.

Hence, the car comes to a complete stop at 12 seconds

Read more about velocity and time at:

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Answer:

24 cm or h= 1/2 cm , b= 1 1/3 cm, l = 3cm

Step-by-step explanation:

3 x 4 x 2 = 12

Answer:

1) 7.5 inches, 2) 12.5 inches, 3) 6.25 inches

Step-by-step explanation:

In the problem statement, it is stated that the original dimensions of the photo are 5 inches by 8 inches. The 3 parts of the problem are asking what the respective width of the new photo would be given a different length measurement.

Using the ratio (5:8) you can set up an equation with x representing the missing measurement, and cross multiply to calculate the new width.

1) If the length is 12 inches, the width is 7.5 inches

[tex]\frac{5}{8} = \frac{x}{12}[/tex]

[tex]60=8x[/tex]

[tex]\frac{60}{8} =x[/tex]

[tex]7.5 = x[/tex]

2) If the length is 20 inches, the width is 12.5 inches

[tex]\frac{5}{8} = \frac{x}{20}[/tex]

[tex]100=8x[/tex]

[tex]\frac{100}{8} =x[/tex]

[tex]12.5 = x[/tex]

3) If the length is 10 inches, the width is 6.25 inches

[tex]\frac{5}{8} = \frac{x}{10}[/tex]

[tex]50=8x[/tex]

[tex]\frac{50}{8} =x[/tex]

[tex]6.25 = x[/tex]

Answer:

The unlucky player moved 35 spaces after moving five spaces seven turns in a row.

Step-by-step explanation:

Our equation formed is: 7 x 5 = x

=> 7 x 5 = x

=> x = 35.

Therefore, the unlucky player moved 35 spaces.

Answer:

id

Step-by-step explanation:

Answer:

there would be 67.2 in 2 containers

Step-by-step explanation:

if you take 672 and divide that by 5 you get 134.4 so if you take that number and divide it by 2 you would get 67.2   hope this helps

Answer:

Step-by-step explanation:

you would pay is 34 - 6.8 = 27.2 dollars. hope it helps bye :)

Answer:

x is 154 degrees

Step-by-step explanation:

If a line cuts through a set of parallel lines, it is called a transversal.

x and the angle next to 26 degree angle would be corresponding angles.

If a line makes 180 degrees, then x and 26 would have to equal to 180 degrees

x+26 = 180

x = 180-26

x = 154

Answer:

x=2

y= -2.5

Step-by-step explanation:

x int

1.) set y to 0 (5x -4(0)=10

solve for 5x=10

y int

1.) set x to 0

solve for -4y=10

Answer:

x=2, y=-5/2

Step-by-step explanation:

to find the 'x' intercept, set the 'y' value to zero and solve:

5x - 4(0) = 10

5x = 10

x = 2

to find the 'y' intercept, set the 'x' value to zero and solve:

x(0) - 4y = 10

-4y = 10

y = -10/4 or -5/2

~fractions

[tex] \large \tt( \frac{ 5 }{ 7 } ) ^ { 3 } ( \frac{ 4 }{ 5 } ) ^ { 3 }[/tex]

[tex] \large \tt = \frac{125}{343}\times \left(\frac{64}{125}\right) [/tex]

[tex] \large \tt = \frac{125\times 64}{343\times 125} [/tex]

[tex] \large \tt = \boxed{\frac{64}{343} } \: ✓[/tex]

~ nice to help you ^^

Answer:

the answer would be 196.25

Step-by-step explanation:

Answer:

7.9

Step-by-step explanation:

Volume = side · side · side

∛496 = 7.915783219

Answer:

john cena

Step-by-step explanation:

i have no idea lol

Answer:

C?

Step-by-step explanation:

Answer:

a: 2n + 11 = 25

b: 7

Step-by-step explanation:

a number is n, double it is x2 so that gets 2n and it says add eleven so 2n + 11. I get 25 so 2n + 11 = 25

2n + 11 = 25

     - 11    - 11

2n = 14

2n/2 = 14/2

n = 7

Answer:

a

Step-by-step explanation:

Answer:

y = - x + 6

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 6) and (x₂, y₂ ) = (6, 0) ← 2 points on the line

m = [tex]\frac{0-6}{6-0}[/tex] = [tex]\frac{-6}{6}[/tex] = - 1

The line crosses the y- axis at (0, 6 ) ⇒ c = 6

y = - x + 6 ← equation of line

Step-by-step explanation:

I answered this already.

Answer: it should be 70

Step-by-step explanation:

because the re adding of the dollars

Answer:

Step-by-step explanation:

[tex]a+b =1\dfrac{3}{5} + (-2)\\\\=\dfrac{8}{5}-\dfrac{2*5}{1*5}\\\\=\dfrac{8-10}{5}\\\\\\=\dfrac{-2}{5}\\\\\\2-c = 2-[-7] = 2+7 = 9\\\\\\dfrac{- I a + b I}{2-c}=\dfrac{\dfrac{-2}{5}}{9}\\\\=\dfrac{-2}{5}*\dfrac{1}{9}\\\\=\dfrac{-2}{45}\\\\[/tex]

Answer:

1.

a. YU, ZV, WS

b. VU, WX, ST

c. ZW

d. WXY

e. TSW

f. VU, TU, ZY, XY

g. VS, WS, ZV, XW, YZ, ZW

2.

a. intersecting

b. parallel

c. skew

d. intersecting

e. parallel

Answer:

Step-by-step explanation:

Refer to the attachment

Step-by-step explanation:

marked price = 100%

1% = 100%/100 = marked price / 100

discount = marked price - selling price

discount % = discount / 1% =

= (marked price - selling price) / (marked price)/100 =

= 100×(marked price - selling price) / (marked price)

Answer:

x = 3 and y = -5

Step-by-step explanation:

[tex]5x - 3y = 30 \\ 7x - 3y = 36 \\ \\ - 1(5x - 3y = 30) \\ 7x - 3y = 3 \\ \\ - 5x + 3y = - 30 \\ 7x - 3y = 36 \\ 2x = 6 \\ x = 3 \\ \\ 5(3) - 3y = 30 \\ 15 - 3y = 30 \\ - 3y = 30 - 15 \\ - 3y = 15 \\ \frac{ - 3y}{ - 3} = \frac{15}{ - 3} \\ y = - 5[/tex]

Using the principle of proportional relationship, the amount of mulch and gravel sold is 108 and 72 pounds respectively.

Creating a ratio expression thus :

Let :

Pounds of Mulch sold :

Pounds of gravel sold :

Hence, the amount of mulch and gravel sold is 108 and 72 pounds respectively.

Learn more : https://brainly.com/question/25678498

Step-by-step explanation:

angle EAB = 2x too, due to the laws of the same and mirrored angles when a line crosses 2 parallel lines.

the angle ABE is 180 - 6x, due to the fact that all angles around a single point on one side of a line ad up to 180 degrees.

similarly, the angle AEB is 180 - 4x.

and then we know the sum of all angles in a triangle is airways 180 degrees.

so,

180 = 2x + 180 - 4x + 180 - 6x

0 = 180 - 8x

8x = 180

x = 22.5

Answer: 7.9inches

Step-by-step explanation:

45.8-14.2=31.6

31.6/4=7.9

Answer:

[tex]\frac{2}{5} :\frac{3}{8}[/tex]

Step-by-step explanation:

First of all, answer both sides separately.

Find the value of x and simplify.

Find the value of y and simplify.

It is just like removing the variables.