Serenity is moving and must rent a truck. There is an initial charge for the rental plus
a fee per mile driven. The total cost of renting the truck can be modeled by the
equation C = 50 +2.75m, where m is the number of miles driven. What is the y-
intercept of the equation and what is its interpretation in the context of the problem?

Answers

Answer 1

Answer:

The y-intercept of the equation is 50

Its interpretation in the context is " the initial charge for the rental "

Step-by-step explanation:

The linear relationship can be represented by the equation

y = a x + b, where

a is the slope ( the rate of change)b is the y-intercept (initial amount, or fixed amount, or the amount of y at x = 0)

∵ Serenity is moving and must rent a truck

∵ There is an initial charge for the rental

b represents the initial charge for the rental

∵ There is a fee per mile driven

a represents the fee per mile driven

∵ The equation represents this situation is C = 50 + 2.75 m

C is the total cost

m is the number of miles driven

→ Compare it with the form of the equation above

∴ a = 2.75

b = 50

∵ b is the y-intercept

The y-intercept of the equation is 50

∵ b represents the initial charge for the rental

∴ The initial charge for the rental is $50

Its interpretation in the context is " the initial charge for the rental "


Related Questions

pls help will mark brainliest
A= 1/2h(a+b) solve for a (lowercase a only)

Answers

Answer:

a = 2A / h - b

Hope that was the answer you were looking for :D

Hallie participates in the freestyle event for the school swim team. The fastest she can swim is 25 meters in 22 seconds. At this rate, in how many minutes could she swim the 200 meter freestyle event?

Answers

Answer:

2 minutes 16 seconds

Step-by-step explanation:

200/25=8

8x22=176

Find Area of each shaded sector. Round to the hundredths place.

Answers

Check the picture below.

so the area that is not shaded has a total of 90° + 26° = 116°.

a circle has a total of 360°, so the area that is shaded must be 360° - 116° =  244°, and it has a radius of 25.

[tex]\textit{area of a sector of a circle}\\\\ A=\cfrac{\pi \theta r^2}{360}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=25\\ \theta =244 \end{cases}\implies \begin{array}{llll} A=\cfrac{\pi (244)(25)^2}{360}\implies A=\cfrac{7625\pi }{18} \\\\\\ A\approx 1330.81 \end{array}[/tex]

Answer:

1330.81

Step-by-step explanation:

I'm not sure if it wanted the individual sectors or the whole shaded region in general, so I just did the latter since it seemed easier. Hope it helps!

Help me with this question!!

Answers

x= -1 and x=1 would be the answer!

What is the sample? all state households 1565 households surveyed 1127 households that owned televisions.

Answers

The percentage of the household survey that owned televisions is 72%. And the sample is defined below.

What is the percentage?

The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.

What is a sample?

Random sampling is the method of selecting the subset from the set to make a statical inference.

All states households 1565 households surveyed 1127 households that owned televisions. Then the percentage will be

[tex]\rm Percentage = \dfrac{1127}{1565}*100\\\\Percentage = 0.72*100\\\\Percentage = 72 \%[/tex]

More about the percentage link is given below.

https://brainly.com/question/8011401

Answer:

1565 households surveyed

Step-by-step explanation:

I did this on edge :)

find the value of x that makes f(x) continuous

Answers

Answer:

the answer for this question is -4

The emergency brake cable in a truck parked on a steep hill breaks and the truck starts rolling down the hill. The distance in feet, d, that the truck rolls is represented by the function d=f(t)=0.5t2. Using this function, find out how far the truck will roll after 9 seconds.

Answers

Answer:

The truck will roll 40.5 feet from top of the hill after 9 seconds.

Step-by-step explanation:

Let be [tex]f(t)[/tex] the distance rolled by the truck in time, measured in feet, whose expression is:

[tex]f(t) = 0.5\cdot t^{2}[/tex]

Where [tex]t[/tex] is the time, measured in seconds.

By evaluating this function at [tex]t = 9\,s[/tex], we find the distance rolled by the truck:

[tex]f(9\,s) = 0.5\cdot (9\,s)^{2}[/tex]

[tex]f(9\,s) = 40.5\,ft[/tex]

The truck will roll 40.5 feet from top of the hill after 9 seconds.

42,300 as a multiple of a power of 10

Answers


I think it is
I4.23 x 10 ^4
It’s 4.23 x 10^4 power


A rock sample has a mass of 16 grams and a volume of 8 cubic centimeters. 'When the
rock is cut in half, what is the volume and density of each piece?

Answers

Answer:

Volume= 4 cm³

Density= 2 g/cm³

Step-by-step explanation:

We have the following data:

volume= V= 8 cm³

mass= m= 16 g

The density is the mass per volume of a substance, so the density of the rock is:

density= d= 16 g/8 cm³= 2 g/cm³

When we cut the rock in half, we have a half volume and a half mass:

V= 8 cm³/2= 4 cm³

m= 16 g/2= 8 g

But the density is not altered because it is an intrisic property - it does not change with the amount of subtance. Thus, the density of a half rock is:

d = m/V= 8 g/4 cm³= 2 g/cm³

Determine the number and type of solutions of the quadratic
equation.
- 4x2 - 4x – 1=0
O one imaginary solution
O two real solutions
O one real solution
O two imaginary solutions

Answers

Step-by-step explanation:

the degree of a polynomial determines 1:1 the number of solutions.

a quadratic equation (degree 2) has 2 solutions.

the general solution is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = -4

b = -4

c = -1

so,

x = (4 ± sqrt((-4)² - 4×-4×-1))/(2×-4)

when we look at the square root

16 - 16

we see that it is 0.

the square root of 0 is 0, and there is no difference between -0 and +0.

so, we get only one (real) solution : 4/-8 = -1/2

but : formally, there are still 2 solutions (as this is a quadratic equation). they are just identical.

so, I am not sure what your teacher wants to see in this case as answer.

my answer would be 2 real identical solutions.

This one is about rate of change and has 2 questions that need two answers.

At 6:00 am, there was 1 inch of snow on the ground. By 11 am, there were 4 inches of snow on the ground. What is the average rate of change?

If the snow continues to fall at the same rate, how much snow will be on the ground by 1:00 pm.​

Answers

Answer:

0.6 inches per hours

5.2 inches on the ground by 1:00 pm

Step-by-step explanation:

Let x = number of hours after midnight

Let y = height of snow (in inches)

Information presented as ordered pairs (x, y):

(6, 1)

(11, 4)

[tex]\mathsf{rate \ of \ change=\dfrac{change \ in \ y}{change \ in \ x}=\dfrac{4-1}{11-6}=\dfrac35 \ inches \ per \ hour}[/tex]

Written as a linear equation:

[tex]y-1=\dfrac35(x-6)[/tex]

[tex]\implies y=\dfrac35x-\dfrac{13}{5}[/tex]

1:00 pm = 13 hours after midnight

Therefore, when x = 13:

[tex]\implies y=\dfrac35(13)-\dfrac{13}{5}[/tex]

[tex]\implies y=5.2 \textsf{ inches}[/tex]

yo, already tried -4 and -1/4. This is probs obvious but i need help. Thanks g

Answers

Step-by-step explanation:

[tex]16 {}^{x} = \frac{1}{64} [/tex]

[tex]4 {}^{2x} = 4 {}^{ - 3} [/tex]

[tex]2x = - 3[/tex]

[tex]x = - \frac{3}{2} [/tex]

Answer:

x = -3/2

Step-by-step explanation:

We make both numbers have the same bases.

We know 2^4 = 16 and 2^-6 = 1/64 because a negative exponent means you get the reciprocal of the number.

2^4x = 2^-6

Let exponents equal each other.

4x = -6

x = 6/4 = -3/2

x = -3/2

(35n3 - 30n2 + 25n) ÷ (-5n) -7n 2 - 6n - 5 -7n 2 + 6n - 5 -7n 2 - 6n + 5

Answers

Answer:

- 28n^2  - 10

Step-by-step explanation:

(I need help with 2 questions)
1. what is the value of 3x^² + 5x when x=3?
2. 3^3 +3(4+1/3)

Answers

Step-by-step explanation:

1: we plug in 3 instead of x. so we get

3(9)+5(3) = 42

2: we use pemdas or bedmas

27+12+1 = 40

if you have any other question feel free to ask.

It took 3.5 hours for a train to travel the distance between two cities at a velocity 120 km/hr. How many miles lie between the two cities?

Answers

(120x3.5) = 420 kilometers
260.976 miles

A pair of parallel lines is cut by another pair of parallel lines as shown in the figure. Which angles are congruent to angle?
R
N
P
E
H Н
F
O angles P, Q, and R
Bangles M. Land
OC angles A and B
OD angles and
Engles M N and P

Answers

Answer:c

Step-by-step explanation:

(x−119)÷7=6
Could anyone please help?

Answers

Answer:

x

=

161

Step-by-step explanation:

Multiply both sides of the equation by

7

.

7

(

x

119

)

÷

7

=

7

6

Simplify both sides of the equation.

Tap for more steps...

x

119

=

42

Move all terms not containing

x

to the right side of the equation.

Answer:

161

Step-by-step explanation:

Step 1:

( x - 119 ) ÷ 7 = 6        Equation

Step 2:

( x - 119 ) = 42      Multiply 7 on both sides

Step 3:

x = 42 + 119      Add 119 on both sides

Answer:

x = 161        Add

Hope This Helps :)

What is the median of the following dataset? (1,5,6,3,4,5,6,8,9)

Answers

Answer:

The median would be the second 5

Therefore our answer would be 5

Step-by-step explanation:

The median is the value separating the higher half of a data sample, a population, or a probability distribution, from the lower half. In simple terms, it may be thought of as the "middle" value of a data set. For example, in the data set {1, 3, 3, 6, 7, 8, 9}, the median is 6, the fourth number in the sample. The median is a commonly used measure of the properties of a data set in statistics and probability theory

A bagel costs $2.15 and cream cheese
costs $0.75. If you buy milk for $2.00, is
$5.00 enough to cover the cost of all
items? Explain.

Answers

Answer:

Yes

Step-by-step explanation:

You do have enough money because 2.15+0.75+2.00 is = to 4.90 and we know that 4.90 is less than 5.00

Yes, because the total cost would be $4.90. If you pay with a 5 dollars bill then you would have $0.10 left over after you have purchased all those items
$2.15 + $0.75 = $2.90
$2.90 + $2.00 = $4.90

The sides of a triangle are as follows:
2x – 4
x + 5
3x + 3
Find x if the perimeter of the triangle is 100 in.
Set up an equation and solve.
show work

Answers

Answer:

x=16

Step-by-step explanation:

(2x-4)+(x+5)+(3x+3)=100

6x+4=100

6x=96

x=16

mark opens a bank account with $20. He plans to put in $5 each week. c. write an equation to represent the total amount of money mark has in his account over time

Answers

Answer:

y=$35

Step-by-step explanation:

y= total number in your account

x= # of weeks

y=5x + 20

y=10x + 5

x=3 weeks

57:12
The vertices of a quadrilateral in the coordinate plane are known. How can the perimeter of the figure be found?
C D
VX
O Use the distance formula to find the length of each side, and then add the lengths.
O Use the slope formula to find the slope of each of side, and then determine if the opposite sides are parallel
O Use the slope formula to find the slope of each of side, and then determine if the consecutive sides are
perpendicular
O Use the distance formula to find the length of the sides, and then multiply two of the side lengths.
Mark this and retum
Save and Exit
Next
Submit

Answers

Answer: Use the distance formula to find the length of each side, and then add the lengths.

Step-by-step explanation:

To find the perimeter of this quadrilateral with known vertices: Use the distance formula to find the length of each side, and then add the lengths.

What is distance?

The distance between two points is the length of the line joining the two points. Distance is a numerical or occasionally qualitative measurement of how far apart objects or points are. In physics or everyday usage, distance may refer to a physical length or an estimation based on other criteria.

Here, we have,

Mathematically, the distance between points on a coordinate plane is given by this formula:

Formula: distance= √(x_2-x_1)²+(y_2-y_1)²

Where:

x and y are the vertices (points) on a coordinate plane.

Therefore, when the distance formula has been used to determine the length of of each side of the quadrilateral. You should then add the lengths of each side together.

Read more on distance formula here:

brainly.com/question/1418394

#SPJ5

Quadratic Equations
How to find x and y-intercepts from vertex form (not standard).

Answers

Here is how to find the intercepts, if the graph is hovering above the x axis (k<0) there will be no real solutions for the x intercept

Given: m∠ABC = m∠CBD Prove: Ray B C bisects ∠ABD. 3 lines extend from point B. One line extends to point A, another to C, and another to D. Justify each step in the flowchart proof. A flow chart with 3 boxes that are labeled A, B, C, from top to bottom. Box A contains m angle A B C = m angle C B D. Box B contains angle A B C is-congruent-to angle C B D. Box C contains Ray B C bisects angle A B D.

Answers

Answer:

Given that m∠ABC = m∠CBD, and m∠ABD = m∠ABC + m∠CBD BC bisects m∠ABD (Definition of angle bisector)

Step-by-step explanation:

The given information are;

m∠ABC = m∠CBD

To prove that Ray BC bisects m∠ABD

The description is therefore;

Three lines (AB, BC, and BD) that meet at a point

The content of Box A = m∠ABC = m∠CBD

The content of Box B = m∠ABC ≅ m∠CBD

The content of Box C = Ray BC bisects  m∠ABD

Therefore, we have;

m∠ABD = m∠ABC + m∠CBD (Angle addition postulate)

m∠ABC = m∠CBD (Given)

∴ m∠ABC ≅ m∠CBD (Definition of congruent angles)

m∠ABC is adjacent to m∠CBD (Description of the angles)

Line BC is common to m∠ABC and m∠CBD (Description of the angles)

Therefore, given that m∠ABC = m∠CBD, and m∠ABD = m∠ABC + m∠CBD BC bisects m∠ABD (Definition of angle bisector).

Answer:

c

Step-by-step explanation:

edg

Find the values of theta. Explain how you found your answer or upload a picture showing your work.

Answers

Answer:

Step-by-step explanation:

[tex]\frac{\pi }{3}[/tex] and [tex]\frac{2\pi }{3}[/tex]

PLEASE HELP, I AM BEING TIMED!!

Assume line M and N are parallel lines cut by transversal L. Find the value of X.

Options: A: X= -0.2
B: X=1.2
C: X=2
D: X=18.2

Answers

Answer: C) X=2

Step-by-step explanation: These angles are equal because they alternate exterior angles. Set them equal to each other,  and just solve for x.

9. List the sides of each triangle in order from shortest to longest.

Answers

Answer:

C, B, A

Step-by-step explanation:

Who ever is reading this:

I love u.

U matter.

The world needs u

hang in there ik it may be bad but u deserve the world <3

ur beautiful no matter ur shape, size, color, gender.. anything

don't give up bby i need u to live.

i wish i could take everyones problems so yall wouldn't have to have em but i cant so just know ily and if anyone needs to talk u can talk to me

Pls pass this on. Everyone deserves to know this. ♥️♥️

just copy and paste its not hard pls this could save someones life

Which of the following is equal to 213 ÷ 3?
A.
(210 ÷ 3) + (3 ÷ 3)
B.
(210 + 3) ÷ (3 + 3)
C.
(210 ÷ 3) + (210 ÷ 3)

Answers

Answer:

210/3+3/3

Step-by-step explanation:

210/3=70+3=73/3=71
213/3=71

Solve each system by substitution. Show all work.
-8x+2y= -4
-7x+y= -8

Answers

Answer:

(2, 6 )

Step-by-step explanation:

- 8x + 2y = - 4 → (1)

- 7x + y = - 8 ( add 7x to both sides )

y = 7x - 8 → (2)

substitute y = 7x - 8 into (1)

- 8x + 2(7x - 8) = - 4 ← distribute parenthesis and simplify left side

- 8x + 14x - 16 = - 4

6x - 16 = - 4 ( add 16 to both sides )

6x = 12 ( divide both sides by 6 )

x = 2

substitute x ;= 2 into (2)

y = 7(2) - 8 = 14 - 8 = 6

solution is (2, 6 )

The graph shows the yearly balance, in dollars, in an investment account.
5,000
4,000
3,000
amount in dollars
.
2.000
1,000
0
2
4
12
14
6 8 10
number of years
a. What is the initial balance in the account?

Answers

Take 2 points

(0,5000)(2,4000)

Slope:-

[tex]\\ \rm\Rrightarrow m=\dfrac{4000-5000}{2}=-500[/tex]

Equation in point slope form

[tex]\\ \rm\Rrightarrow y-5000=-500(x)[/tex]

[tex]\\ \rm\Rrightarrow y=-500x+5000[/tex]

Initial amount=y intercept=5000
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