Aniyah is driving home at a constant speed. After 20 minutes, she is 70 miles from home. What equation models her distance from home, y, as a function of time, x?

Answers

Answer 1

Answer:

The equation that models her distance from home, y, as a function of time, x will be:

y = 3.5x

Step-by-step explanation:

We know that the slope-intercept form of a linear function is

y = mx+b

Here m is the slope and b is the y-intercept

Please note that slope is also termed as 'rate of change'.

Given that Aniyah is driving home at a constant speed.

at t = 20 minutes, she has covered 70 miles

so the rate of change = 70/20

                                     = 3.5 miles per minute

Let y be the distance from homeLet x be the time

Finding the y-intercept by substituting m = rate of change = 3.5 and the point (20, 70)

y = mx+b

70 = 3.5(20) + b

b = 70 - 70

  = 0

Thus, the equation becomes

y = mx+b

y = 3.5x + 0

y = 3.5x

Therefore, the equation that models her distance from home, y, as a function of time, x will be:

y = 3.5x

Related Questions

C) g(x) = (4-5x)²

If it’s even or odd

Answers

Answer:

odd

Step-by-step explanation:

the answer is odd, my dead grandma just finished this question since she failed 7th grade.

The figure above is the aerial view of a parking lot
where the rectangles represent the entrances and
the circles represent the exits. What is the total 401
number of ways a driver can enter and exit this
parking lot?
A. 4
B. 7
C. 10
D. 12

Answers

Answer:

12

Step-by-step explanation:

There are 4 entrances and 3 exits, and thus 4(3)=12.

Question 3
What is the smallest solution to the equation 14-5x| = 1?
0.6
0-1.0
o 1.0
O 1.6

Answers

Answer:

0.06

Step-by-step explanation:

0x x it expand almost done ✅✅✅

−2 (x + 1/3) + 9x = 4

Answers

Answer:

X= 2/3

Step-by-step explanation:

-2(x+1/3)+9x=4

Distribute: -2x-2/3+9x=4

Combine: 7x=14/3 ----- 4/1+2/3=12/3+2/3=14/3

Clear the fraction: 21x=14 ------- 7·3x=14/3·3/1

Divide: X=2/3 ------ 14/21÷ 7/7=2/3

X=2/3           Hope This Helps :)

Answer:

[tex] \sf \large \: x = \frac{2}{3} [/tex]

Step-by-step explanation:

−2(x+1/3)+9x=4

Step 1: Simplify both sides of the equation.

−2(x+1/3)+9x=4

(−2)(x)+(−2)(1/3)+9x=4(Distribute)

−2x+−2/3+9x=4

(−2x+9x)+(−2/3)=4(Combine Like Terms)

7x+−2/3=4

7x+−2/3=4

Step 2: Add 2/3 to both sides.

7x+−2/3+2/3=4+2/3

7x=14/3

Step 3: Divide both sides by 7.

7x/7 = 14/3/7

x=2/3

Find the probability of a point chosen at random being in the shaded area of the diagram at the right

Answers

Answer:

1/2

Step-by-step explanation: because it is shaded or not

Can someone answer these??

Answers

the first one would be a to the 48 power

Help me solve it please and include step by step.​

Answers

The slope of the line AC is equal to the slope of the line CE.

We have the points:

A = ( - 3 , 6 )

C = ( - 1 , 3 )

Slope of AC will be:

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Slope of AC = m₁ = ( 3 - 6 ) / ( - 1 + 3 )

m₁ = - 3 / 2

m₁ = - 1.5

Now,

C = ( - 1 , 3 )

E = (3 , - 3)

Slope of AC = m₂ = ( - 3 - 3 ) / ( 3 + 1 )

m₂ = - 6 / 4

m₂ = - 3 / 2

m₂ = - 1.5

So, we get that:

m₁ = m₂  

Therefore, we get that, the slope of the line AC is equal to the slope of the line CE.

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Express the ratio below in its simplest form.
15:10

Answers

Answer:

3:2

Step-by-step explanation:

Divide 15 and 10 by 5.

Complete the equation.
(8 x 3) x 3 =
× (3 x 3)

Answers

Answer:

x=0

Step-by-step explanation:

still trying to find help solving. Today is the last day, can someone help?​

Answers

Answer:wow we have the same homework

Step-by-step explanation:

Hey I was unsure on 4&7 but I did my best. Anything of the style of slopes that said N/A I’ll be honest I didn’t know. I strongly recommend going to your teacher and asking for help if you need it. Also, little tip, the more points you offer for a question (especially one with an entire worksheet), the more likely you are to get answers. I hope I was at least some help :)

The principal interest formula I = Prt can be used to find the interest earned on an initial amount of money, called the
principal, P, given an interest rate, r, and an amount of time over which interest is accrued, t. Solve I = Prt for P when
I = $5,480, r = .04 annual interest, and t 7 years. Round your answer to the nearest hundredth.

PLEASE HELP GUYS

Answers

Answer:

1885.714

Step-by-step explanation:

I = ptr

5280 = 7×0.4×p

p = 5280/2.8

p = 1885.7

Which of the following statements models deductive reasoning?

I own a mean cat. My friend Lisa owns a mean cat. Therefore, all cats are mean.

People who follow a vegan diet do not eat steak. Mindy follows a vegan diet. Therefore, Mindy does not eat steak.

There has been a hurricane in Florida every August for the past two years. Therefore, there will be a hurricane in Florida in August this year.

Every test in Mr. Johnson’s class this year has been easy. Therefore the test in Mr. Johnson’s class today will be easy.

Answers

Answer:

B.

Step-by-step explanation:

Vegans by definition do not eat any products containing the meat of an animal. Therefore if Mindy truly follows a vegan diet, she would not eat steak.

Answer:People who follow a vegan diet do not eat steak. Mindy follows a vegan diet. Therefore, Mindy does not eat steak.

Step-by-step explanation:

Because deductive reasoning is when you make an inference about something. In option 2 they are making an inference that if Mindy does not eat steak she is a vegetarian. They have come to that conclusion by inferring she is a vegetarian because she does not eat steak.

solve for x 3x + 6y = 9

Answers

X = 1
Hope this helps!

Write the equation of the quadratic function given vertex V and
point P, which lies on the function. Write the equation in standard
form f(x) = ax2+bx+c.
V (1,-9)
P (0,-8)

Answers

The quadratic equation that passes through points (1, - 9) and (0, - 8) is y = x² - 2 · x - 8.

What is the quadratic equation that passes through two points?

Graphically speaking, quadratic equations are parabolas. The quadratic equation in vertex form is described by this formula:

y - k = C · (x - h)²

Where:

(h, k) - Vertex of the parabola.C - Vertex constant.

If we know that (x, y) = (0, - 8) and (h, k) = (1, - 9), then the vertex constant is:

- 8 + 9 = C · (0 - 1)²

1 = C · (- 1)²

1 = C

C = 1

Then, the quadratic equation in vertex form is:

y + 9 = (x - 1)²

Whose standard form is:

y + 9 = x² - 2 · x + 1

y = x² - 2 · x - 8

The quadratic equation that passes through points (1, - 9) and (0, - 8) is y = x² - 2 · x - 8.

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use the graph of the following function f(x) to find f(1)

Answers

From the graph of the function y = x - 1, it is found that f(1) = 0.

What is the missing information?

This problem is incomplete, but researching it on a search engine, it gives us the graph of the function y = x - 1.

How to find the numeric value of a function given a graph?

To find the numeric value of a function at x = a, we have to check the value of the horizontal axis when the vertical axis is of a.

For this problem, we want the numeric value at x = 1, hence, when the horizontal axis is of 1, the vertical axis is of 0, hence f(1) = 0.

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find the measure of angle C of triangle ABC if:

Answers

Answer:

∠C = 180 - 3α

Step-by-step explanation:

The interior angles of a triangle always add up to 180°

So A + B + C = 180

C = 180 - (A + B)

= 180 - (α + 2α)

= 180 - 3α

last question is How many people carried a tablet but not a cell
phone?

Answers

Answer:

No.1 is 89 No.2 is 11 No.3 is 60 and the last one is 29

Are the following inverses of each other?
f(x) = 5x - 3
g(x) = 2+3
O No, the composition resulted in f(g(x)) =
= x
O Yes, the composition resulted in f(g(x)) = x
O No, the composition resulted in f(g(x)) = 0
O Yes, the composition resulted in f(g(x)) = 0
and g(f(x)): =x
and g(f(x)) = x
and g(f(x)) = 0
and g(f(x)) = 0

Answers

Hi shhshwvsgxs sidhvxhdh surgdvcudu d dhdhdbd

Intern
Kenny ran 2400 m on Monday.
He ran 511 m less on Tuesday than on Monday.
How many metres did he run altogether on both days?

Answers

Answer: 4289

Step-by-step explanation:

Total = 2400+(2400-511) = 4289

Answer: 4289 meters

First subtract 511 from 2400 to determine how many meters ran on Tuesday, which is 1889 meters. Then add 2400 and 1889 to get you total meters for both days, which is 4289 meters.

Mr. Arcos is opening a new restaurant. His restaurant has 8 tables with places for 4 people at each table. It also has 4 tables with places for 6 people at each table.

Today he is buying plates for the restaurant. The plates he is buying come in sets of 6 plates. How many sets of plates does he need to buy?

Answers

He needs to buy 10 packs, you have to round up to 10 because it’s around 9.3333

In the given case, we can conclude Mr. Arcos needs to buy 10 sets of plates for his restaurant.

To find out how many sets of plates Mr. Arcos needs to buy, we first need to determine the total number of people his restaurant can accommodate.

There are 8 tables with places for 4 people each, so these tables can seat a total of 8 x 4 = 32 people.
Additionally, there are 4 tables with places for 6 people each, which can seat a total of 4 x 6 = 24 people.

Therefore, the restaurant can accommodate a total of 32 + 24 = 56 people.

Since the plates come in sets of 6, we divide the total number of people (56) by the number of people served by each set (6) to find out how many sets of plates Mr. Arcos needs to buy: 56 / 6 = 9.33 sets. Since plates cannot be bought in fractions, he will need to round up to the nearest whole number. Therefore, he will need to buy at least 10 sets of plates for his restaurant.

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Absolute value of -3 is

Answers

Answer:

Step-by-step explanation:

The absolute value of -3 is 3.

Answer: 3

Step-by-step explanation:

What is the slope of the tangent line for the function f(x)=2x^2-5x+1 at the point (1,-2)

A. -1
B.-9
C. 1
D. 0
E.9

Answers

This is given by the limit

[tex]\displaystyle \lim_{x\to1} \frac{f(x) - f(1)}{x - 1} = \lim_{x\to1} \frac{(2x^2 - 5x+1) - (-2)}{x - 1} = \lim_{x\to1} \frac{2x^2 - 5x + 3}{x - 1}[/tex]

Observe that [tex]2x^2-5x+3=0[/tex] when [tex]x=1[/tex], and factorizing gives

[tex]2x^2 - 5x + 3 = (x - 1) (2x - 3)[/tex]

so that

[tex]\displaystyle \lim_{x\to1} \frac{f(x) - f(1)}{x - 1} = \lim_{x\to1} (2x-3) = 2\cdot1 - 3 = \boxed{-1}[/tex]

(A)

A 24 oz bottle of a new soda costs $3.33. What is the unit rate, rounded to the nearest tenth of a cent?

Answers

$0.13 is the Unit rate I figured it out by dividing $3.33 by 24…

help plsssssssssssssssssssssssssssssss

Answers

Answer:

The answer is D

5(g + 8) - 7 = 117 - g

Answers

Answer: g=14

Step-by-step explanation:

5(g + 8) - 7 = 117 - g

5g+40-7=117-g

5g+33=117-g

6g+33=117

6g=84

g=14

[tex]5(g + 8) - 7 = 117 - g[/tex]

[tex]5g + 5 \cdot 8 -7 = 117 -g\\[/tex]

[tex]5g + 40 -7 = 117 -g[/tex]

[tex]6g = 117 - 40 + 7[/tex]

[tex]6g = 84[/tex]

[tex]g = 94 : 6[/tex]

[tex]g = 14[/tex]

28/48 simplified how do you simplify????????????????????

Answers

The answer is 7/12 on your simplification

Answer: 14/24 or 7/12

Step-by-step explanation: keep on dividing 2 or just divide by 4

I've managed to find the area of the shape I just need help stating the units of my answer

Answers

It should be in centimetres squared (cm²)
Answer is cm2

They give you “cm” in the measurements
You are looking for cm2 or cm3?


The way I remember units (squared or cubed)
If it is two numbers multiplied it’s value is squared “X^2”
Two numbers is a two dimensional figure, it is flat <>
Example is 1/2 base x height is squared


If it is three numbers multiplied it is cubed
“X^3”
Three numbers is a three dimensional shape like a cube or

Example L x W x H is cubed

Which of the following is the graph of y = |x-3l?

Answers

Answer:

You only show one answer A. Lucky for you it's the correct one.

Step-by-step explanation:

Elizabeth has 4 boxes of 100 toys and 3 toys that aren't in boxes. How many toys does she
have?

Answers

She has 403 right? It’s the only thing that makes sense

Answer:

Elizabeth has 403 toys.

Step-by-step explanation:

The main goal is to figure out how many toys Elizabeth has. So she has 4 boxes and each box has 100 toys. If she has 4 boxes of 100 it mean she have 400 toys but that's not the final answer. she also has 3 toys not in the boxes so we have to add that as well. So if we add 3 toys to the 400 toys we'd get a total of 403. Therefore Elizabeth has 403 toys and that would be our final answer.

I hope this helps, have a blessed day! :D


In 2017, U.S. exports to Canada were $39.4 billion more than exports to Mexico. Together,
exports to these two countries totaled $525.4 billion. How much were exports to each
country.

Answers

The exports to each country are:

Exports to Mexico are $243 billion.Exports to Canada are $282.4

What are equations?The equation is described as the state of being equal and is often represented as a math expression with equal values on either side, or it refers to a problem in which many factors must be considered. 2+2 = 3+1 is an example of an equation.

So,

let the exports to Mexico be 'x'.

Exports to Canada will be x + 39.4.

Given:

U.S. exports to Canada were $39.4 billion more than exports to Mexico. Together,Exports to these two countries totaled $525.4 billion.

So, the equation becomes:

x + x + 39.4 = 525.42x + 39.4 = 525.42x = 525.4 - 39.42x = 486x = 243

So, exports to Mexico are 243 billion.

Exports to Canada are 243 + 39.4 = 282.4

Therefore, the exports to each country are:

Exports to Mexico are $243 billion.Exports to Canada are $282.4

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