Suppose a line graphed on a coordinate plane represents the distance traveled in miles by an automobile as a function of time in hours. Assuming that the relationship between time and distance traveled is proportional, which of these statements is correct? Select one that applies.

A. If the automobile was going 30 mph, the slope of the line is.
C. If the automobile was going mph, the y-intercept of the line is
D. If the automobile was going mph, the y-intercept of the line is.
E. If the automobile was going mph, the y-intercept of the line is.

Answers

Answer 1

Using linear function concepts, it is found that the correct option is:

A. If the automobile was going 30 mph, the slope of the line is 30.

A linear function is modeled by an equation in the following format:

[tex]y = mx + b[/tex]

In which:

m is the slope, which is the rate of change.b is the y-intercept, which is the value of y when x = 0.

In this problem, the relationship between time and distance traveled is proportional, which means that slope is given by the velocity. Thus, the correct option is:

A. If the automobile was going 30 mph, the slope of the line is 30.

A similar problem is given at https://brainly.com/question/16302622

Answer 2

Answer:

a

Step-by-step explanation:


Related Questions

Subtract the linear expressions. (2/5x−1)−(1/4x+2) What is the difference? Enter your answer in the box. Enter fractions as simplified fractions.

Answers

Answer:

3/20x−3

Step-by-step explanation: TOOK THE FOR K12 HOPE THIS HELPS

The difference of the given expression is 3/20 x - 3.

Given that, (2/5x−1)−(1/4x+2).

What is the subtraction of expressions?

To subtract an algebraic expression from another, we should change the signs (from '+' to '-' or from '-' to '+') of all the terms of the expression which is to be subtracted and then the two expressions are added.

Now, (2/5x−1)−(1/4x+2)

= (2/5 x - 1/4 x) -1 - 2

= (8/20 x - 5/20 x) - 3

= 3/20 x - 3

Therefore, the difference of the given expression is 3/20 x - 3.

To learn more about the subtraction of expression visit:

https://brainly.com/question/12959016.

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Which best represents the domain for Golf Galore?


A. All real numbers

B. 1 ≤ x ≤ 3

C. { 1 ,2 ,3 }

D. x ≤ 3

Answers

Answer:

explain below

Step-by-step explanation:

I think this question missed some part like the minimum and maximum reservation time (such as 1 to 3 hours), if so.. the answer is B. 1≤x≤3

Hi, i am in 8th grade math and i really just need someone to explain the steps on how to slove these types of quetsions-


1. -12(k+4)= 60 (slove for k)


2, 8(3a+)=9(2a-4) (solve for a)


i dont really pay attention and im failing. this is very forgein to me it just looks ike a cluster of numbers and signals. cn you step by step expail it please i will give a brainly!

Answers

Answer:

1. k=-9

2. a=-12

Step-by-step explanation:

1. -12(k+4)=60

use distributive property

   -12k-48=60

add 48 to both sides

   -12k=108

divide both sides by -12

   k=-9

2. 8(3a)=9(2a-4)

   use distributive property

   24a=18a-36

   subtract 18a on both sides

  6a=-36

  divide both sides by 6

   a=-12

Evaluate the expression when y=-4. y²+5y +7​

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Value of given expression is :

[tex]3[/tex]

[tex] \large \boxed{ \mathfrak{Explanation}}[/tex]

Let's Evaluate :

[tex] {y}^{2} + 5y + 7[/tex]

now, let's plug the value of y as -4

[tex]( - 4) {}^{2} + (5 \times - 4) + 7[/tex]

[tex]16 - 20 + 7[/tex]

[tex]23 - 20[/tex]

[tex]3[/tex]

Answer: 3

Step-by-step explanation:

(-4)(-4) +5(-4) +7 = 3

You replace Y with -4 and Solve

Vladimir is looking to retire in 10 years. He has a plan to put $25,000 into an investment today that earns interest at a fixed amount per year. What would be a reasonable domain and range for a function modeling the total amount of the investment, including interest?
25 Points for the correct answer

Answers

The domain and range for a function modeling the total amount of the investment, including interest are as follows;

Domain, X = {0<= years <= 10}Range, Y (total amount) = {$25,000<= Y <= 25,000( 1 + 10R)}

The starting principal amount, P is $25,000.

Let the interest rate per year, be represented as, R (%)

Time of investment, T = 10 years

In essence, after 10 years, the total amount Vladimir has is;

Total amount = 25,000( 1 + xR).

In essence, the domain (No. of years ) is;

Domain, X = {0<= years <= 10}

Range, Y (total amount) = {$25,000<= Y <= 25,000( 1 + xR)}

Read more:

https://brainly.com/question/14489958

The volume of this cone is 301.44 cubic meters. What is the radius of this cone

Answers

Step-by-step explanation:

picture needed to solve

There is a rectangular lot in the garden, with 6 ft in length and 4 ft in width. You plan to expand the lot by an equal length around its four sides, and make the area of the expanded rectangle 48 ft^2. How long should you expand the original lot in four directions?


You should expand the original lot by…
Please type ft to represent feet.

Answers

So the amount you are increasing it by is equal on both sides. Firstly let’s look at the factors of 48, (1,2,3,4,6,8,12,16,24 and 48) the only factors that are can be equal increase from 4 and 6 is by 2 ft giving us a length of 8 and a width of 6

Answer:

2 ft

Step-by-step explanation:

Given:

l = 6 ftw = 4 ftExtended area = 48 ft²Extension= x

Find x:

(6 + x)(4 + x) = 48x² + 10x + 24 = 48x² + 10x + 25 = 49(x + 5)² = 49x + 5 = 7x = 7 - 5x = 2

jazz sold 1/2 sack of vegetable pear and 5/2 sack of squash. how many sacks of vegetables did he sell altogether?​

Answers

Answer:

Jazz sold 3(6/2)sacks of vegetables.

Step-by-step explanation:

5/2 + 1/2 = 6/2. If you convert 6/2 into a mixed number you get 3.

(V. An aeroplane is flying parallel to the Earth's surface at a speed of 175 m/sec and at a height of 600 m. The angle of elevation of the aeroplane from a point on the Earth's surface is 37°. After what period of time does the angle of elevation increase to 53° ? (tan 53° = 1.3270, tan 37° = 0.7536) ​

Answers

dot on top of earth = plane position at the time of observation (right one when 37°, left one 53°)

then the geometry is zoomed on the left side

Factorise
x2 + 5x - 24

Answers

Answer:

(x+8)(x-3)

Step-by-step explanation:

x2+5x-24

product 1 ×-24= -24

sum -3 and 8(x2 -3x )(+ 8x -24)x(x-3) +8(x-3)(x+8)(x-3)

What is the answer for x?

Answers

answer:

115 degrees

explanation:

1)

12x+55=23x

55=11x

5=x

2)

23(5)

115

The answer:
The X is for slopes

what is 3(2 - 5y) math

Answers

Answer:

-15y + 6

Step-by-step explanation:

3(2 - 5y)(3)(2) + (3)(-5y)6 + (-15y)-15y + 6

Therefore, the answer is -15y + 6.

Name an angle supplementary to

Answers

Answer:

Here is your answer dear,

Step-by-step explanation:

angle AOD and angle EOC are supplementry angle

HOPE ITS HELPFUL

MARK ME AS BRAINLIST

what is the surface area of this design?

Answers

The surface area of the design would be 160

WILL MAKE BRAINLIEST Determine the value of x

a) 7.8

b) 4.62

c)6
d) 0.22​

Answers

Answer:

I came to the answer of 6.

find angle DBC !!!!!!

Answers

Answer:

50°

Step-by-step explanation:

Answer:
50° is the angle DBC

How do you write 3
17/
18
as a decimal?

Answers

Answer:

3 17/18 rounds up to 3.94

round 2.794 to the tenths place

Answers

2.8

The tenths place is right after the decimal, so when we round 2.794 to the nearest tenths place, we get 2.8

Hope this helps! Have a good day :)

eugheugh eughhhh I've been listening to my comfort playlist stressing about this test for too long Please just help ;-;

Answers

Answer:

1. Incorrect because it's suppose to be -4/5, -1/10, 7/10

2. Incorrect because it's suppose to be -7/8, -3/8, -3/4

3. Correct -2/3, -5/9, 2/9

4. Incorrect because it's suppose to be -4/7, -5/14, 6/7

what is the domain of h please help :(((((((​

Answers

Answer:

Domain is X-values

Range is Y-VALUES

domain as follows: -7,-3, -1, 1, and 4

Range as follows: -2,7, 6, and 3

I think the domain of h is 3

Step-by-step explanation:

1. Sarah a 20-ounce jar of strawberry jam for $4.00. What is the unit price per ounce?
2. Julie bought a 24-ounce can of tomato sauce for $6.00. What is the unit price per ounce?

Answers

Answer:

unit price for jam= 20 cents

unit price for tomato sauce= 25 cents

Step-by-step explanation:

17.2 x 4.6 show working out in column method

Answers

Answer:

17.02

Step-by-step explanation:

2

41

17.2

x4.6

1

1022

+6880

17.02

be sure to cross out the 41 on the second line when you start multiplying 17.2 by 4

(0, -4) and (-1, -2)
Write the slope intercept form of the equation for f the line through the given points

Answers

Answer:

y = -2x - 4

Step-by-step explanation:

First, I'll find the slope by subtracting the y-values and x-values of each point from each other, as shown below:

(-2 - (-4))/(-1 - 0) = 2/-1 = -2

We already have the y=intercept: (0, -4). From this, we can write a y = mx + b (slope intercept form) equation, with m being our slope and b being our y-intercept. It looks like y = -2x - 4.

Is MNO similar to PQO

Answers

Answer:

Yes MNO is similar to PQO

5. what equation passes through the 2 points
(3, 1) and (7, -3)​

Answers

Answer:

Equation: y = -1x + 4

Step-by-step explanation:

In order to create an equation, you need to put it in slope-intercept form ( y = mx + b ). The best way to figure out to create your equation is to graph the points. 'Y' means the y-axis. 'mx' refers to the slope of a particular line and b is concluding where the line crosses the y-axis.


solve for x and explain

Answers

Answer:

[tex]x=22[/tex]

Step-by-step explanation:

Because [tex]\angle ABC=\angle ABD+\angle DBC=80^{\circ}[/tex], we have that [tex](2x+4)+(2x-12)=80[/tex].

Combining like terms on the left side gives [tex]4x-8=80[/tex].

Adding [tex]8[/tex] to both sides gives [tex]4x=88[/tex].

Dividing both sides of the equation by [tex]4[/tex] gives [tex]\boxed{x=22}[/tex].

I haven’t done this in a while but I’ll try ….

2x - 12 + 2x + 4 = 80
4x - 8 = 80
+ 8 = + 8
4x = 88
Divide by 4
x = 22
Maybe… I hope it’s right!

Make A the subject of the formula
r=1
А
3

Answers

Step-by-step explanation:

[tex]r = \sqrt{ \frac{А}{3} } [/tex]

[tex] {r}^{2} = \frac{А}{3} [/tex]

[tex]А = 3{r}^{2} [/tex]

HOPE IT HELPS YA

Evaluate the expression.

{[(20−32)÷(−6)]2−11}÷(−7)

What is the value of the expression?

Enter your answer in the box.

Answers

The value of the expression is 1

From the question,

We are to evaluate the value of the expression {[(20−32)÷(−6)]2−11}÷(−7)

To do this, we will clear the brackets one after the other.

The expression can be simplified as shown below:

{[(20−32)÷(−6)]2−11}÷(−7)

{[(-12)÷(−6)]2−11}÷(−7)

Then, we get

{[2]2−11}÷(−7)

{4−11}÷(−7)

{-7}÷(−7)

-7 ÷ -7

= 1

Hence, the value of the expression is 1

Learn more here: https://brainly.com/question/24421152

Solve for y.
-8v+6(v+5) = 38
Simplify your answer as much as possible.

Answers

Answer:

y = -4

Step-by-step explanation:

-8y+6(y+5) = 38

-8y + 6y + 30 = 38

-2y + 30 = 38

-2y = 8

8 / -2 = -4

y = -4

Answer:

V= -4

Step-by-step explanation:

-8v+6(v+5) = 38

-8v+6v+30 = 38

-2v = 38-30

-2v = 8

v = 8/-2

v = -4

Hope this help you

Given: 4(-2x+1) - 2x = 44
Prove:x = -4
Statements...
1
2
3
4
5
Reasons:
1
2
3
4
5

The statement goes with the reason hopefully that makes sense please help me

Answers

Answer:

Step-by-step explanation:

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