a car travels along the highway to yuma at steady speed. when it begins, it is 400 miles from yuma. After 7 hours, it is 59 miles from yuma. which function describes the cars distance from yuma?

Answers

Answer 1

The car's position can be described with the linear function below:

y = (-48.7 mi/h)*x + 400 mi

Which function describes the car's distance from Yuma?

We know that the car is initially at a distance of 400 miles from Yuma. We also know that the car moves at a constant rate (steady speed) then its position will be described by a linear equation:

y = a*x + b

Where y is the distance, a is the slope and b is the y-intercept.

Knowing the initial distance, we can write:

y = a*x + 400mi

And we know that after 7 hours, the car is at 59 mi, then we can write:

59 mi = a*7h + 400mi

59mi - 400mi = a*7h

-341 mi = a*7h

-341mi/7h = a

-48.7mi/h = a

Then the equation that describes the distance from Yuma is:

y = (-48.7 mi/h)*x + 400 mi

Learn more about linear functions:

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Answer 2

Answer:

y=-50x+400

Step-by-step explanation:

Took the text


Related Questions

What is the value of x?
1. 142
2. 71
3. 152
4. 76​

Answers

Answer:

142

Step-by-step explanation:

Quadrilateral ABCD is reflected over line segment y as shown, resulting in quadrilateral TURS.

Quadrilateral A B C D is reflected over line y to form quadrilateral T U R S.

If AD 5 in., AB = 7 in., DC = 4 in., and BC = 9 in., what is TU?

4 in.
5 in.
7 in.
9 in.

Answers

Answer:

7in

Step-by-step explanation:

Triangle DEF is reflected over the y-axis, and then translated down 4 units and right 3 units.

(I searched it up)

The length of TU is 7 in.

Hence, option C is correct.

What is quadrilateral?

A quadrilateral is a shape with four sides, four vertices, and four angles that is only two dimensional. Convex and concave are the two main forms. Convex quadrilaterals can also be divided into a number of subgroups, including trapezoids, parallelograms, rectangles, rhombus, and squares.

Given that,

Quadrilateral ABCD is reflected over a line y

Hence preimage = ABCD and image = TURS

After reflection,

The new position of A = T

New position of B =U

New position of C = R and

New position of D = S

By transformation properties,

For reflection the scale factor is 1 and hence AB will have the same length as TU

Since,

AB = 7 inches,

Therefore,

TU = 7 inches.

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What similarity property, if any, can be used to show that the following two triangles are similar.

Answers

They both have right angles and have the same angles overall. Essentially they are the same size, one is just expanded bigger than the other. It might be dilation. The inside line so indicate the similarity in angle sizes.

Answer:

The angles

Step-by-step explanation:

On both triangles, there is a square in the corner which means that both angles are 90 degrees, and then on the left side of the triangle, there are two signs that are the sames meaning those two have the same angle measurement. Based on this knowledge I know that the last angle of the triangle must also be the same degrees since both triangles follow the same equation 90+a+b=180. I know that all angle measurements from one triangle must equal 180. So these are the same triangles with different sizes.

Hope this helps you

Do the organic prices vary directly with the conventional prices? If so, identify k. Does the total cost of organic apples vary directly with the number of pounds of organic apples purchased? If so, identify k.
THE RIGHT ANSWER IS (i just had to answer my own question so that other people can get it but just copy and paste this thanks :) )

no, this is not a direct variation
yes this is a direct variation with k=2.34

2

Answers

Answer:

1: No, this is not direct variation

2: Yes, this is direct variation with k= 2.34

Step-by-step explanation:

I’m Just Built Different

If the circumference of a circle is 41.8 feet, find the diameter of the circle.

Answers

Answer:

= 6.65605095

Step-by-step explanation:

Plz mark brainliest!!!

Answer:

The screenshot is the correct answer

Step-by-step explanation:

Dose anyone know this? Like I'm confused on what to do.

4×2×(-3)+(-10)÷5​

Answers

Answer:

start with the prostheses first and the -3 and -10 together us

Step-by-step explanation:

Please

excuse

my

dear

ant

sally

Answer:

-26

Step-by-step explanation:

4×2×(-3)+(-10)÷5​

=(8)(−3)+−10/5

=−24+−10/5

=−24+−2

=−26

Which graph below correctly shows the two lines on the same axes ?

Answers

Answer:

The one in the top left corner I THINK

Step-by-step explanation:

It is on baisically the same line and makes the most sense to ME.

DO NOT PICK ME IF YOU ARE NOT SURE!!!

Please help me asap.......

Answers

Answer:

I'm pretty sure its A.

Step-by-step explanation:

There would be mirrors reflecting off of each other to get the light to reflect him in a different place

I’m pretty sure it’s A because it contains mirrors that reflects objects which is exactly what it’s doing here.

Gena wants to estimate the quotient of –21.87 divided by 4.79. Which expression shows the best expression to estimate the quotient using front-end estimation?

a) -21÷4
b) -21÷5
c) -20÷4
d) -20÷5
p.s, Daily question! What's your favorite song?

Answers

Answer: -20 divided by 4.

Step-by-step explanation: I'm also doing this. I also don't really want to answer daily.

Answer: -20/4 (OPTION C)

Step-by-step explanation:

you have to round then divide! i know this is late but i hope it will help others! i just did the quiz on edge so i figured i would let everyone know that option c was correct! BRAINLIEST?

What is the slope of the line that contains these points?

x 12 13 14 15

y -4 , 2 8 14





Δ⊕∞∵∴α∞→←⇅≡∝αβΔωπ

Answers

formula to find the slope (y1-y2)/(x1-x2)
if (x1,y1) is (13,2) and (x2,y2) is (15,14)
(2-14)/(13-15)=6

Which comparison is true? Use the number line to help you. A number line going from negative 6 to positive 6 in increments of 1. Negative 5.8 > Negative 5 and three-fourths 3.6 < StartFraction 37 Over 10 EndFraction 4 and one-third = 4.4 3.6 > 4.4

Answers

Answer: its (A) and sorry if its wrong and tell me if it is and if it is wrong the answer is (C)

Answer:

it is b

Step-by-step explanation:

Find the value of the variable (simplify your answer)

Answers

Answer:

y=70.71

Step-by-step explanation:

Refer to the picture that given

Answer:

70.71

EXPLANATION

sin45° =50/y

This implies y=50/sin45

Which side of DEF is the longest?

Answers

Answer:

Letter B

Segment DF

Step-by-step explanation:

Please help look at the picture

Answers

Answer:

The correct answer would be D

Convert 5 gram in quintal​

Answers

Answer:

5e-5

Step-by-step explanation:

I hope that is right

what is the range and domain of this question? im unsure​

Answers

Answer:

Step-by-step explanation:

Domain is the independent variable (x)

Range is the dependent variable (y)

For each of these you would just put what x and y are equal to

For the Domain you would put:

0<=x<=3

<= is less than or equal to

For the Range you would put

1<=y<=4

The line is a function

In ΔXYZ the sides YZ = x, XZ = y, and YZ = z, and x>y>z. Which angle of the triangle can have measure of 60º?

Answers

Answer:

Following are the solution to this question:

Step-by-step explanation:

In the query, there is an error. This will find Angle YXZ and the angle YZX.  

The student said YXZ angle and YXZ angle but he said it was incorrect. I've been doing my hardest to fix it.

[tex]\to \sin x = \frac{\text{opposite side of x}}{hypotenuse}\\\\\to \frac{x}{2x} = \frac{1}{2}\\\\\to \sin x = \frac{1}{2}\\\\\to \sin x = \sin 30^{\circ}\\\\\to x = 30^{\circ} \\\\\to \angle YXZ = 30^{\circ}\\\\[/tex]

[tex]\to \cos Z = \frac{\text{Adjacent side of z}}{hypotenuse}\\\\\to \frac{x}{2x} = \frac{1}{2}\\\\ \to \cos Z = \frac{1}{2}\\\\ \to \cos Z= \cos 60^{\circ}\\\\\to Z = 60^{\circ} \\\\ \to \angle YZX = 60^{\circ}[/tex]

Function A is represented by the equation y = 4x + 6.
Function B is a linear function that goes through the points shown in the
table.
x 1
3 4
ic
y 3 9 12 18
Which statement correctly compares the rates of change of the two
functions?
A. The rate of change of function A is 6.
The rate of change of function B is 3.
B. The rate of change of function A is 4.
The rate of change of function B is 6.
OC. The rate of change of function A is 6.
The rate of change of function B is 6.
D. The rate of change of function A is 4.
The rate of change of function B is 3

Answers

Answer:

D

Step-by-step explanation:

what's the answer to this math picture please?

Answers

Answer:

m<BGC = 145°

Step-by-step explanation:

<AGC and <DGB are vertical angles. Vertical angles are congruent. Therefore:

m<AGC = m<DGB

[tex] 3x + 20 = 8x - 5 [/tex] (substitution)

Collect like terms

[tex] 3x - 8x = -20 - 5 [/tex]

[tex] -5x = -25 [/tex]

Divide both sides by -5

x = 5

m<BGC = 180 - (m<AGC) (linear pair)

m<BGC = 180 - (3x + 20)

Plug in the value of x

m<BGC = 180 - (3(5) + 20) = 180 - 35

m<BGC = 145°

Explain why the slope of the line drawn in part C must be negative.

Answers

because it is a negative line in the graph

i need help on this one

Answers

Answer:

gfgfgfgfgfg

Step-by-step explanation:

Answer:

X= -4

Step-by-step explanation:

x three * 101 three = 2001012three​

Answers

Geudgvdudhdiejxx FX je hdjdbdjsn

Anthony has 115 books in his room. he is storing them in boxes. Each box holds 17 books How many boxes does Anthony need?

Answers

Answer:

7 boxes

Step-by-step explanation:

Lydia buys 5 pounds of apples and 3 pounds of bananas for a total of $8.50. Ari buys 3 pounds of apples and 2 pounds of bananas for a total of $5.25. Determine a system of equations that represents the given the situation. Let x be cost per pound of apples and let y be the cost per pound of bananas. Which equation represents the amount of money Lydia spent of apples and bananas? Which equation represents the amount of money Ari spent on apples and bananas?

Answers

Answer:

5x+3y=8.50 and 3x+2y=5.25

Step-by-step explanation:

because i got it correct

Answer:

b and c

Step-by-step explanation:

please help! thank you. ​

Answers

Answer:

The first one is right

Step-by-step explanation:

7x+5y=40 2x+4y=-4

Solve the system of equations

Answers

Answer:

{x,y}={10,−6}

Step-by-step explanation:

Answer:

x = 10, y = -6

Good Luck!

Help pls<---
ASAP DUE TODAY BY 9:05

Answers

Answer:covert - 2/3 to -4/6. Then after you do the math...you get -9/6....simplify that to -3/2e=-27. You then multiply -27 by the reciprocal -2/3 and the answer is 18.

Step-by-step explanation:

A scientist walking through a forest recorded as integers the heights of 5 trees standing in a row. She observed that each tree was either twice as tall or half as tall as the one to its right. Unfortunately some of her data was lost when rain fell on her notebook. Her notes are shown below, with blanks indicating the missing numbers. Based on her observations, the scientist was able to reconstruct the lost data. What was the average height of the trees, in meters?

Answers

Answer:

A) 22.2

Step-by-step explanation:

I took AMC 8 and got it right. ^^

What is the image of (-9,6) after a dilation by a scale factor of 44 centered at the origin?

Answers

Answer:

(- 396, 264 )

Step-by-step explanation:

Since the dilatation is centred at the origin, then multiply each of the coordinates of the point by the scale factor, that is

(- 9, 6 ) → ( (- 9 × 44 ), (6 × 44 ) ) = ( - 396, 264 )

What is the dollar value of 2 pennies and 3 dimes? What is the dollar value of p
Dennies and d dimes?

Answers

Answer:

32 cents? This is a weird phrased question!

Step-by-step explanation:

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