Sonya made a graph showing the first ten minutes of her drive to the movies.

A graph with time on the x-axis and speed on the y-axis. The graph increases, increases rapidly, and then remains constant.

Which description is the best interpretation of the graph?
Sonya left her house and accelerated as she drove toward the highway entrance. She increased her speed as she drove up the ramp to the highway and then drove a constant speed on the highway.
Sonya backed out of her driveway at a constant speed and then accelerated until she reached the street where the movie was playing. She stopped the car.
Sonya drove down her driveway at a constant speed until she reached the street. She turned and drove down the street at a constant speed. Her car went slower as she drove up a hill. At the top of the hill she drove into the parking lot of the movie theater.
Sonya accelerated as she drove down her driveway. She accelerated on the street on her way to the highway entrance. She waited for a red light, then accelerated onto the highway.

Answer:

5.567764363 or rounded off to two decimal places 5.57

Step-by-step explanation:

Calculator

Answer:

1/6

Step-by-step explanation: in a rate you need to make it a one so you double the 1/2 gallon to make it one gallon then since you doubled that you have to double the days to 6. So they drink 1 gallon per 6 days.

Answer:

(3,-3)

Step-by-step explanation:

It is located 5 units south, which means it is on the y-axis line. So, you would subtract 5 from 2 (2-5) and that gives you -3.

Answer:

-7/3

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Step 1: Define

y = -7/3x + 5

Step 2: Break Function

Identify Parts

Slope m = -7/3

y-intercept b = 5

Answer:

Its XYW is half of LXYZ

Step-by-step explanation:

.

Answer:

this is the required solution

Answer:

(0,4)

Step-by-step explanation:

When you are finding the y-intercept, the x = 0

y = -2x + 4

y = -2(0) + 4

  = 0 + 4

y = 4

Meaning y = (0,4)

[tex]\sf{\underline{Given:-}[/tex]

   [tex]~~~~~~~\bigstar\overbrace{The~equation~of~the~line}}[/tex]

[tex]\sf{\underline{To~find:-}}[/tex]

[tex]\bigstar{\overbrace{The~y-intercept~of~the~line}}\\\sf{\underline{Solution:-}}[/tex]

Since the equation is written in slope-intercept form (y=mx+b), then we just look at the b term, which stands for the y-intercept.

Notice that the y-intercept is a constant...

Hence, the y-intercept of the line is

[tex]\bigstar{\boxed{\pmb{4}}}[/tex]

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)

Answer: a. Lin's tank hold 20 cups and Elena's tank hold 20 gallons; I know this because gallons are greater than cups.

Step-by-step explanation:

Gallons are greater than cups so the fish tank that will hold 20 gallons would have to be the bigger one which in this case is Elena's.

With cups being lesser in quantity than gallons, the fish tank that will hold 20 cups of water will definitely have to be the smaller one which in the case is Lina's.

Answer:

Step-by-step explanation:

The answer would be 5 because 14/7=2 and 6/3=2 and 10/ 2 =5 so 5

Answer:

Step-by-step explanation:

The sum of measures of angles in triangle is allways 180°

So:

   x + 53° + 60° = 180°  {subtract 113° from both sides}

   x = 67°

Answer:

There ya go

Step-by-step explanation:

Answer:

15/2

Step-by-step explanation:

goodluck on the rest! (:

Answer: x=9 1/3

Step-by-step explanation:

-5=-3x-33

-5+33=-3x

28=-3x

3x=-28

x=28/3

x=9 1/3

Answer: X=-28/3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−5=−3(x+11)

−5=(−3)(x)+(−3)(11)(Distribute)

−5=−3x+−33

−5=−3x−33

Step 2: Flip the equation.

−3x−33=−5

Step 3: Add 33 to both sides.

−3x−33+33=−5+33

−3x=28

Step 4: Divide both sides by -3.

-3x/-3= 28/-3

X=-28/3

have a nice day :)

Answer:

lesser x: - 6

greater x: 2

Step-by-step explanation:

f(x) = (x + 2)² – 16

(x + 2)² – 16 = 0

(x + 2 + 4) (x + 2 - 4) = 0

(x + 6)(x - 2) = 0

roots (zero): x = -6 or x = 2

Answer:

When f(n) = 12, what is the value of n? Answer: n=5

Step-by-step explanation:

Answer:

50,373 feet

Step-by-step explanation:

tan 15° = 13500 / x

.268 = 13500 / x

x = 50,373

Answer:

-2

Step-by-step explanation:

f(x) = –x– 5

f(x) = -(-3)– 5

f(x) = 3– 5

f(x) = -2

Answer:

Answer is -2 because - * - = + 3-5=-2

Answer:

B

Step-by-step explanation:

i did the same test

Answer:number 14 is 8

Step-by-step explanation:

bc 5$ off all the bottles you bye is 2 dollars so keeps on counting the you get 8

Answer:

13.-16

14.-3

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The x coordinate of the rest stop:

1/2 × (the sum of the x coordinates of the highschool and the stadium)

= 1/2 × (3+7)

= 1/2 × 10

= 5

The y coordinate of the rest stop:

- Same thing i did for the x coordinate, but use the y coordinates.

1/2 × (the sum of the y coordinates of the highschool and the stadium)

= 1/2 × (4 + 1)

= 1/2 × 5

=5/2

So the coordinate of the rest stop would be (5, 5/2).

Next for the distance, i used the pythagoras theory so it's like this:

a^2 + b^2 = c^2

Here you plot the highschool and the stadium on the coodinate plane, then connect the two dots to make a right triangle. The height of the triangle will be 3, and the base would be 4. So a=3, b=4 in the equation.

3^2 + 4^2 = c^2

9 + 16 + c^2

25 + c^2

c = 5

(Note that this isn't the real answer cuz at the end of the question it said that one UNIT equals 6.4 MILES.)

So the final answer is 5 × 6.4, which is 32. The answer is C.

Answer:

[tex]\frac{dy}{dx}[/tex] = 8(2x + 3)³

Step-by-step explanation:

Differentiate using the chain rule

Given

y = f(g(x)) , then

[tex]\frac{dy}{dx}[/tex] = f'(g(x)) × g'(x)

Here

f(x) = [tex](2x+3)^{4}[/tex] ⇒ f'(x) = 4(2x + 3)³

g(x) = 2x + 3 ⇒ g'(x) = 2

Thus

[tex]\frac{dy}{dx}[/tex] = 4(2x + 3)³ × 2

    = 8(2x + 3)³

Answer:

X = 3

Step-by-step explanation:

18 - 3 = 15

5x = 15

divide both sides by 5

X = 3

Answer:

[tex]3 - 5x = 18 \\ - 5x = 18 - 3 \\ - 5x = 15 \\ x = \frac{15}{ - 5} \\ \boxed{x = - 3}✓[/tex]

Answer:0.03

Step-by-step explanation:

Answer:

Hi! The correct answer is y = 5

Step-by-step explanation:

~Solve for the first variable in one of the equations, then substitute the result into the other equation~

Answer:

9

Step-by-step explanation:

if you have two negatives next to eachother, the equation now adds like 5+4. 5+4=9

Given:

The two endpoints are (4,5) and (4,-3).

To find:

The line segment between the given endpoints and the length of the line segment.

Solution:

Plot the given point and connect them by and straight line segment as shown in the below graph.

The distance between (4,5) and (4,-3) is

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]d=\sqrt{(4-4)^2+(-3-5)^2}[/tex]

[tex]d=\sqrt{(0)^2+(-8)^2}[/tex]

[tex]d=\sqrt{0+64}[/tex]

[tex]d=\sqrt{64}[/tex]

[tex]d=8[/tex]

Therefore, the length of the line segment is 8 units.

Answer:

change/original price X 100

22/88 X 100 = 25%