In the table below, x represents miles traveled and y represents the cost to travel by train.

Miles, x
Cost, y
2
8.50
5
15.25
8
22.00
12
31.00

What is the y-intercept of this function?

2.25
4.00
6.50
17.13

Answers

Answer 1

Answer:

4.00

Step-by-step explanation:

Given

x:   2  ,      5   ,     8     , 12

y: 8.50, 15.25, 22.00. 31.00

Required

Determine the y intercept

First, we calculate the slope:

[tex]m = \frac{y_2- y_1}{x_2 - x_1}[/tex]

Where

[tex](x_1,y_1) = (2,8,50)[/tex]

[tex](x_2,y_2) = (12,31.00)[/tex]

[tex]m = \frac{31.00 - 8.50}{12 - 2}[/tex]

[tex]m = \frac{22.5}{10}[/tex]

[tex]m = 2.25[/tex]

Next, we calculate the equation:

[tex]y - y_1 = m(x - x_1)[/tex]

Where:

[tex](x_1,y_1) = (2,8,50)[/tex]      

[tex]m = 2.25[/tex]

The equation becomes:

[tex]y - 8.50 = 2.25(x - 2)[/tex]

[tex]y - 8.50 = 2.25x -4.5[/tex]

Make y the subject

[tex]y = 2.25x -4.5+8.50[/tex]

[tex]y = 2.25x +4[/tex]

Take [tex]x =0[/tex]; to get the y intercept

[tex]y = 2.25*0 +4[/tex]

[tex]y = 4[/tex]

Hence, the y intercept is 4.00

Answer 2

Answer:

The answer is B

Step-by-step explanation:


Related Questions

Someone help me with this question please! I'm having a hard time answering it!

Answers

Step-by-step explanation:

2 * 2 for potatoes = £4

3 * 3 for carrots = £9

90p * 3 for turnips = 270p = £2.70

total price = 9+4+2.70=15.70

change = 20 - 15.70 = £4.30

Mei invests $1,924 in a retirement account with a fixed annual interest rate of 3% compounded continuously. What will the account balance be after 19 years?

Answers

Answer:

mei invests $1,924 in a retirement account with a fixed annual interest rate of 3% compounded continuously. what will the account balance be after 19 years?

PLEASE HELP ASAP!!!!
Q1: What signals you that factoring by grouping is the best method to use when factoring a
problem? How would you know if it is factorable or prime?

Answers

Answer:

You know a number is not factorable or prime if nothing multiplies to it.

Step-by-step explanation:

For example there are no numbers that multiple to 7, same with 19. No 2 numbers will ever be able to = to 7 or 19 for example.

Hope this helps!!!

Answer:

prime numbers would be 2,4,6,8,10,12, and etc.....

Step-by-step explanation:

factorable means say we have the number 32 it factors down to 16 then 16 factors down into 8 then 8 goes down into 4 then 4 goes dow into 2

hope this helps

When you multiply a function by –1, what is the effect on its graph?

A.
The graph flips over the y-axis.

B.
The graph flips over the line y = x.

C.
The graph flips over the x-axis.

Answers

Answer: C) The graph flips over the x axis.

This is because we're multiplying the y outputs by -1, to make them flip in sign from positive to negative (or vice versa).

Let's say the point (1,2) is on the f(x) curve. Multiplying y = f(x) by -1 will make the point turn into (1,-2). Apply this logic to every point on the f(x) curve and we end up with f(x) reflected over the horizontal x axis.

The notation we could write is either g(x) = -1*f(x) or g(x) = -f(x).

Solve the system of equations algebraically.
GOF
4x + 5y = 15
- 4x + by = 7
a. (5/4, 2)
B. (2, 5/4)
C. (4/5, 2)
D. (2, 4/5)

Answers

A should be the right answer because 4*5/4=5 + 5*2=10 and 5+10=15.

Help asap please!! I will mark you as brainliest :)

Answers

Here u go. This is the best answer to be given.

Answer:

12

Step-by-step explanation:

The answer is 12 because is you subtract 2 by 12 then you get 10.

Here's why that's correct.

[tex]\frac{5}{2}[/tex] [tex]or[/tex] [tex]2.5[/tex] is equal to [tex]\frac{10}{4}[/tex] which is also [tex]2.5[/tex]

This is correct because if you multiply both the numerator and the denominator by 2, you get [tex]\frac{10}{4}[/tex] because if you multiply 5 times 2, that equals 10. Then if you multiply 2 times 2, you get 4, which eventually makes 10 over 4, or  [tex]\frac{10}{4}[/tex].

Hope this helps! <3

HURRY PLSS
Which values are in the solution set of the compound inequality -8 <3x +7s 10? Select three options.
O-15
O-5
O-3
O1

Answers

Step-by-step explanation:

-8 < 3x + 7 <= 10

-15 < 3x <= 3 (subtract 7)

-5 < x <= 1 (divide by 3)

Hence the correct options are -3, 0 and 1.

Graph the solution to the following inequality on the number line.
x^2 +10x >or equal to-24​

Answers

Answer:

x≤−6 or x≥−4

Step-by-step explanation:

We need to graph the inequality [tex]x^2+10x\ge -24[/tex]

We can find the solution of the graph as follows :

[tex]x^2+10x+24\ge 0\\\\x^2+6x+4x+24\ge 0\\\\x(x+6)+4(x+6)\ge 0\\\\(x+4)(x+6)\ge 0\\\\x\le -6\ \text{and}\ x\ge -4[/tex]

The attached figure shows the graph for the given inequality.

Two people decided to race. One of the cars is 10 meters north of the start line 5 seconds into the race. After 15 seconds, the car is 25 meters north of the start line. Calculate the average velocity of the car.

Answers

Answer:

The average velocity of the car is 1.5 m/s

Step-by-step explanation:

The given parameters are;

The displacement of one of the cars north of the start after 5 seconds = 10 meters

The displacement of the car north of the start after 15 seconds = 25 meters

The average velocity of the cars [tex]\overline v[/tex] is given as follows;

[tex]\overline v = \dfrac{\Delta x}{\Delta t}[/tex]

Where;

Δx = The change in the displacement of the car = 25 m - 10 m = 15 m

Δt = The corresponding amount of the change in time 15 s - 5 s = 10 s

By substituting the known values of Δx and Δt in the equation for the average velocity of the car, [tex]\overline v[/tex], we have;

[tex]\overline v = \dfrac{15 \ m}{10 \ s} = 1.5 \ m/s[/tex]

∴ The average velocity of the car, [tex]\overline v[/tex] = 1.5 m/s

building and reduce

1/2 = / 10​

Answers

Answer: 5/10

Explanation: Compare the denominators. Since 2 ⋅ 5 = 10, multiply the numerator 1 by 5 to get 5.

Use the distributive property to remove the parentheses. Thankyou!


2(v - 5)

3(u - 2)

7(3 + v)

Answers

Answer:

1) 2v-10

2) 3u-6

3) 21 + 7v

Step-by-step explanation:

Using the distibutive property all you have to do is have the number on the of the parenthesis multiply itself to each component in your parenthesis.

Which function will not have an
x-intercept?

a) y = -2X
b) y = x
c) x = 2
d) y = 5​

Answers

Answer:

(d)

because there is only y value, hence no point on x-axis therefore no x-intercept

Describe how the graph of y= x2 can be transformed to the graph of the given equation. (2 points)
y = x2 - 20

Shift the graph of y = x2 left 20 units.
Shift the graph of y = x2 up 20 units.
Shift the graph of y = x2 down 20 units.
Shift the graph of y = x2 right 20 units.

Answers

Derslerinde başarılar dilerim ohdupDıfuclgxpugğuhpcğu

Answer:

Equation : y = x2 - 20

Intercepts

when y is zero (0), x is 10

when x is zero (0), y is -20

Therefore, shift the graph, y=2x down to the negative y-axis 20 units

ALTERNATIVELY: Shift the graph to the right of positive x-axis 10 units.

HELP ASAP PLEASE ‼️‼️‼️‼️‼️‼️‼️‼️‼️
If AABC = ADEC,
ZB = 40° and ZE = 2x + 4
A
B
С
x= [?]

Answers

Answer:

x=18

Step-by-step explanation:

‹B=‹E

40°=2x+4

40-4=2x

36=2x

x=18

13. Describe the number of solutions for the equation. (1 point)
3(x – 3) = 3x
O one solution
O no solution
O infinite solutions
What one

Answers

Answer:

no solution

Step-by-step explanation:

Given

3(x - 3) = 3x , that is

3x - 9 = 3x ( add 9 to both sides )

3x = 3x + 9 ( subtract 3x from both sides )

0 = 9 ← not possible

This indicates the equation has no solution

Find the slope of the line.
3
D
1
ok
-4
5
-6
.
.9
-10
121
.
0
5
6
7
9 10
The slope is -3
I

Answers

Answer:

-1

Step-by-step explanation:

slope=[tex] \frac{change \: in \: y}{change \: in \: x} [/tex][tex] \frac{ - 1}{1} [/tex]

[tex] = - 1[/tex]

Which number is a solution of the inequality?

8 < x (7-x)

2
8
-1
0


PLEASE HELP!!

Answers

Answer: The answer is 8

Step-by-step explanation:

For each equation, find a value x that makes the equation true.
(PLLLLLZZZ help me)

1 x( divided) by 3=12
2 2x+3=20
3 4/3x=10/3
4 -4x=-24
5 2(x-4)=10
6 -0.5x+1.1+2.9

Answers

1: x=36
2: x= 17/2
4: x = 6
5: x = 9

I’m not sure about 3 and 6 sorry

When I multiply two variables, what operation do I use for the exponents to combine them?

Answers

Answer:

Multiplying exponents with the same base

When you multiply two variables or numbers that have the same base, you simply add the exponents.

Step-by-step explanation:

By talking to the sales clerk at the hardware store, you find out that the burglar has two hideouts — the lake house and the cabin. Given the coordinate plane below, calculate the distances between the store and each hideout. Which hideout is closest to the store?

Answers

Cabin is your answer

3 lines are shown. A line with points T, R, W intersects a line with points S, R, W at point R. Another line extends from point R to point U between angle T, R, V. Angle V R W is (3 x) degrees and angle T R S is (2 x + 18) degrees.
What is m∠SRW?

18
54
126
108

Answers

Answer:

m∠SRW = [tex]126^{o}[/tex]

Step-by-step explanation:

Given: <VRW = 3x

          <TRS = (2x + 18)

What is m∠SRW?

<TRS = <VRW (vertically opposite angles)

2x + 18 = 3x

18 = 3x - 2x

x = 18

<VRW = 3x = 3 x 18 = [tex]54^{o}[/tex]

<TRS = (2x + 18) = 92 x 18 + 18)

           = [tex]54^{o}[/tex]

Also,

<TRV = <SRW (vertically opposite angles)

So that,

<TRU + <URV = <SRW

But,

<TRV + <SRW + <TRS + <VRW = [tex]360^{o}[/tex]

<TRV + <SRW +  [tex]54^{o}[/tex] +  [tex]54^{o}[/tex] = [tex]360^{o}[/tex]

<TRV + <SRW + [tex]108^{o}[/tex] = [tex]360^{o}[/tex]

<TRV + <SRW = [tex]360^{o}[/tex] -  [tex]108^{o}[/tex]

<TRV + <SRW = [tex]252^{o}[/tex]

2 <SRW = [tex]252^{o}[/tex]    (∵ <TRV = <SRW)

<SRW = [tex]\frac{252}{2}[/tex]

           = [tex]126^{o}[/tex]

Therefore,

m<SRW = [tex]126^{o}[/tex]

Answer:

short answer its 126 so C.

Step-by-step explanation:

THIS IS FOR FUTURE PPL ON EDGE 2022!! JUST HAD IT

Given that cosA = -8/17  and sinA is negative, determine the value of tanA.​

Answers

Answer:

tan A = -15/8.

Step-by-step explanation:

sin^2a = 1 - cos^2A

= 1 - (-8/17)^2

= 225/289

So sin A= 15/17

tan A = sin A / cos A

=  15/17 / -8/17

= 15/-8

= -15/8.

there are 36 students in a PE class. 1/4 of the student can run 1 mile. how many students can run 1 mile?

Answers

Answer:

9

Step-by-step explanation:

U would have to divide 36 1/4 it would = 9

I’ll give brainlist, but plsss help

Answers

Answer:

X= -8

Step-by-step explanation:

First you distribute the 5 to the parenthesis to get 5x-30+4=7x-10. Then subtract 14 on both sides to get 5x-16=7x. Next, subtract 5x from both sides to get -16=2x. Now you divide by 2 on both sides to get -8=x.

Answer: x = - 8

Step-by-step explanation:

The first step in applying the distributive property:

5 (x - 6) + 4 = 7x - 10

5x - 30 + 4 = 7x - 10

The second step is to combine like terms by subtracting 10 from -30, and subtracting 4 from - 20:

5x - 30 + 4 = 7x - 10

5x - 16 = 7x

The third step is to subtract 5x from 7x:

5x - 16 = 7x

- 16 = 2x

The last step is to divide each side by 2 to isolate the variable, or find x:

- 16/2 = 2x/2

- 8 = x

or x = - 8

I hope I helped and have a great day! ^-^

find the measures of the numbered angles in the rhombus, will give brainliest ! pls show how you solved it :)))

Answers

Answer:

1= 38

2= 90

3 =2 = 90

4= 1 = 38

for explanation check your own previous question

its the same thing

Answer:

see explanation

Step-by-step explanation:

• The diagonals bisect each other at right angles, then

∠ 2 = ∠ 3 = 90°

∠ 1  = 180° - (90 + 52)° ← angle sum of a triangle

∠ 1 = 180° - 142° = 38°

• Diagonals bisect the endpoints, then

angle at vertex with ∠ 1 = 76° and

angle at vertex with ∠ 4 = 76°, thus

∠ 1 = ∠ 4 = 38°

In conclusion

∠ 1 = 38°, ∠ 2 = 90°, ∠ 3 = 90°, ∠ 4 = 38°

Find the x-intercept and the y-intercept of the line below. Click on "None" if applicable.

Answers

Answer:

x- intercept is -2

y-intercept is 3

Step-by-step explanation:

x - intercept is x = -2

y intercept is y = 3

This is dealing with x and y intercepts of straight line graphs.

In straight line graphs, the y - intercept is simply the point where the line touches the y - axis while the x-intercept is the point where the line touches the x-axis.

From the graph given, the line touches the y-axis at y = 3 while it touches the x-axis at x = - 2

Thus;

x - intercept is x = -2

y intercept is y = 3

Read more at; brainly.com/question/4853862


What is the slope?

Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Submit

Answers

Answer:

[tex]\displaystyle m=2[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Find points from graph

Point (3, 0)

Point (4, 2)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute [SF]:                    [tex]\displaystyle m=\frac{2-0}{4-3}[/tex]Subtract:                              [tex]\displaystyle m=\frac{2}{1}[/tex]Divide:                                 [tex]\displaystyle m=2[/tex]

Please help with this thanks lol

Answers

Answer:

-70

Step-by-step explanation:

multiply each sides with (7/4)

(7/4)* 40 = (x/(-4/7)) * (7/4)

(7/4) *40 = -x

70= -x

x= -70

please help me with this review. its for extra credit and i really need the extra credit. please leave explination with the correct work!!! even if i you only do 1 question you would still be helping me!

Answers

Answer:

First ones D I’m pretty sure

Step-by-step explanation:

Please hurry, I'll give brainly

Answers

Step-by-step explanation:

there should 90 value

the value of triangle is 90

Answer:

area = 8.03

Step-by-step explanation:

[tex]area= \frac{ab\sin\C}{2}[/tex]

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