Write an equation for the line that passes through (-2,4) and (0,7)

Answers

Answer 1

Answer:

y = 3/2x + 7

Step-by-step explanation:

The slops is rise over run, so in this case the slope is 3/2 because it goes up 3 units while going 2 units to the right.

The points (0,7) is on the y axis. This means that 7 is the y intercept

With this information, we can follow the format of the slope intercept equation: y = mx + b

m stands for the slope and b stands for the y intercept. Plugging the information in, our equation is:

y = 3/2x + 7


Related Questions

A boat travels at a rate of 18 kilometers per hour from its port. A second boat is 34 kilometers behind the
first boat when it starts traveling in the same direction at a rate of 22 kilometers per hour to the same port.
Let d represent the distance the boats are from the port in kilometers and t represent the amount of time
in hours. The system of equations ⎧


d = 18t + 34 d = 22t
can be used to represent this situation. How many
hours will it take for the second boat to catch up to the first boat? How far will the boats be from their
port? Use the substitution method to solve this real-world application.

Answers

The number of hours taken should be 8.5 hours

And, the distance should be 187 km.

Important information:The equation is d = 18t + 34 and d = 22t.

The calculation is as follows:

d = 18t + 34

d = 22t

Put the d value in the above equation

22t = 18t + 34

22t - 18t = 34

4t = 34

t = 8.5 hours

Now the distance is

= 22(8.5)

= 187 km

Find out more information about the  Distance here :brainly.com/question/21470320?referrer=searchResults

S-95-5
34
A pair of running shoes that usually sells for $125 has been reduced by 15%. The special
sale sign says " take an additional 20% off.” What is the final selling price of the running
shoes? What is the total percentage decrease in the price?

Answers

Answer:

Solution in photo

Step-by-step explanation:

Which can be used to prove angle 3 is congruent to angle 6

Answers

Answer:

alternate interior angle

Step-by-step explanation:

Find the value of k so that the remainder is -26 for
(x^4+kx^3-7x^2 +8x-10)+(x+4).

Answers


578 because yea yea yea yea yea

X=number of hours
Y=number of tents made

X=0,1,2,3,4,5,6,7,8
Y=6,7,8,9,10,11,12,13,14

What is the slope? What does it represent?

Answers

Given:

X=number of hours

Y=number of tents made

Table of value.

To find:

The slope and its interpretation.

Solution:

Consider any two points from the table, i.e., (0,6) and (1,7).

The slope is

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

[tex]m=\dfrac{7-6}{1-0}[/tex]

[tex]m=\dfrac{1}{1}[/tex]

[tex]m=1[/tex]

Therefore, the slope is 1 and it represent that the number of tents made are increasing by 1 units in each hour.

Identify the correct logical reason for the next step in solving this equation

Answers

Answer:

Distributive property of equality

Step-by-step explanation:

The first thing to do in an equation is to distribute.

Answer:

Distributive property of equality

Step-by-step explanation:

Isaiah has $20 to spend on bowling. He has four bowling alleys to choose from, and the price each charges for a game is shown in the table. Prices at Four Bowling Alleys Bowling Alley Price per Game A $4.25 B $5.25 C $3.75 D $3.50 Which can he afford? 4 games at bowling alley B 5 games at bowling alley C 5 games at bowling alley A 6 games at bowling alley D Mark this and return

Answers

Answer:

b is correct

Step-by-step explanation:

Answer:

B: 5 games at bowling alley C

Step-by-step explanation:

What times what gives you 5700?

Answers

Answer:

57 × 10 will give you 5700, as well as 285 × 20.

ANYONE PLEASE THIS IS DUE IN 2 HOURS !

Answers

Answer:

I think 21

Step-by-step explanation:

the correlation between years of education and salary in a sample of 20 people from a certain company is .4. is this correlation statistically significant.

Answers

Complete Question:

The correlation between years of education and salary in a sample of 20 people from a certain company is .4. Is this correlation statistically significant at the .05 level?

Answer:

We accept [tex]H_o[/tex] hence no significant  evidence

Step-by-step explanation:

From the question we are told that

sample correlation n= 20

population correlation  = 4

level of significance [tex]\alpha =0.05[/tex]

Generally we are task to understand existing difference between  sample correlation and population correlation

Generally null hypothesis  is given by [tex]H_o : p=0[/tex]

alternative hypothesis [tex]H1_1 : p\neq 0[/tex]

generaly the mathematical representation of test statics

        [tex]t= r\sqrt{\frac{n-2}{1-r^2} }[/tex]

        [tex]t= 0.04\sqrt{\frac{20-2}{1-0.4^2} }[/tex]

        [tex]t= 1.85[/tex]

Generally for table the p value is given by [tex]p= 0.08056[/tex]

p value > the null hypothesis

Therefore

We accept [tex]H_o[/tex] hence no significant  evidence

I REALLY NEED HELP!!!!!!!!!!!!

Answers

Answer: 64 centimeters squared.

Step-by-step explanation: This shape is a parallelogram. And the area of a parallelogram is just the base multiplied by the height. Here, the base is 10 cm and the height is 7 cm. So you might think the the area is just 70 centimeters squared. But here's the catch. There is a rectangular region in this parallelogram that is not shaded. But you can still easily solve this problem. All you need to do is find the area of that rectangular region and you already know the length and the width of this region. And, remember, the area of a rectangle is just the length and the width multiplied. So here, the area of that rectangular region is just 2 cm multiplied by 3 cm. Which will give you 6 centimeters squared. Now, all that's left to do is subtract the area of that rectangular region, 6 centimeters squared, from the total area of the parallelogram, 70 centimeters squared. And that should give you 64 centimeters squared as your final answer. I really hope this makes sense and is helpful.

how much of the other juice will be left over?​

Answers

Hot dog juice is the best. There will not be any hot dog juice left over because I drank it all. Hot dog, Hot dog, Hot diggity dog!

Is this good led me know pl
Give GHJ=XJZ find each missing measure

Answers

Answer/Step-by-step explanation:

Given that ∆GHJ is congruent to ∆XYZ, this:

<G = <X,

<H = <Y = 38°

<J = <Z,

GH = XY = 27 ft

HJ = YZ = 27 ft (two sides of an isosceles ∆ are the same)

GJ = XZ = 18 ft

a. GJ = 18 ft

b. XY = 27 ft

c. ZY = 27 ft

d. m<H = m<Y (corresponding angles)

m<H = 38° (substitution)

e. m<Z = (180 - 38)/2 (base triangles of an isosceles ∆ are equal)

m<Z = 142/2

m<Z = 71°

f. m<J = m<Z (corresponding angles)

m<J = 71° (substitution)

PLZ PLZ PLZ HELP ME I AM TIMEDDDDDDDDDDDDDDDDDDDDDDDD

Answers

Answer:

The answer is A

Step-by-step explanation:

If you look at the bottom it is near -6 so if you reflect it it would be at 6 but it was 2 units down at 4

Answer:

its the last one

Step-by-step explanation:

the shape is across the x axis so you don't do 2 or 3 then you do it and it is 2 units different not 1 so it is the last one

Peng bought 26 treadmills for her new fitness center at $1,334 each. Then, she bought 19 stationary bikes for $749 each. How much did she spend on her new equipment? Write an expression, and then solve.

Answers

Answer:

(26 x $1,334) + ( 19 x $ 749) = $48,915

Step-by-step explanation:

All together she spent $45,915. She spent $34, 684 on treadmills and $14,231 on Stationary bikes.

hope this helps. If it does please mark me the brianliest!

Peace and Love

Marla made an error when solving the equation shown. What was her error ,and how should she fix it?

Answers

In Step 1, she used the Distributive Property incorrectly. She should have distributed the 3 to the 2. The equation should have been

3x + 6 + 1 = 24.

A certain forest covers an area of 4000km squared. Suppose that each year this area decreases by 3.75percent. What will the area be after 14 years

Answers

Answer:

After 14 years, the area will be 2342.4 km squared.

Step-by-step explanation:

Since the area is decreasing, we can use the decaying exponential function

[tex]y = A(1 - r)^{t}[/tex]

where

A represents the initial area.r represents the rate at which the area changest is the time period

Given

Initial Area A = 4000 km squared

Rate r = 3.75% = 3.75/100 = 0.0375

Time period t = 14

To Determine

The Area after 14 years = y = ?

Plug in the values in the formula

[tex]y = A(1 - r)^{t}[/tex]

[tex]y\:=4000\left(1\:-\:0.0375\right)^{14}[/tex]

[tex]y=4000\cdot \:0.9625^{14}[/tex]

[tex]y=2342.4[/tex] km squared

Therefore, after 14 years, the area will be 2342.4 km squared.

PLEASE I NEED HELP WITH THE MATH HOMEWORK. I NEED EXPLANATION TOO!!

QUESTION: find the value of the varible

Answers

Answer:

Step-by-step explanation:

A+B+C=180

2x+x+90=180    ( the 90 comes from the right angle in the given triangle)

3x=90

x=30°

:) these are all kinda the same strategy.. notice?

a. The ratio between the lengths of two
pieces of lumber is 2:3. The longer piece is
21 ft long. How long is the shorter piece?




Help me please

Answers

Answer:

14 feet

Step-by-step explanation:

Let the shorter piece have length x.

Since the ratio is 2:3 and the longer piece is 21 feet long, we can write that as 2:3 = x:21.

Writing it as fractions, we get 2/3 = x/21 —(multiply by 21)—> x = 21*2/3 = 7*2 = 14 feet.

Thus, the shorter piece is 14 feet.

I hope this helps! :)

the shorter piece is 14ft long

Step-by-step explanation:

let the shorter piece be x

longer piece will be x:21

ratio of two pieces= 2:3

2:3=x:21

2/3=X/21

then cross multiply

21×2=3x

42/3=3x/3

X=14

2:3=14:21

hope it helps

Fred is making a fruit salad. The ratio of cups of peaches to cups of cherries is 2 to 3. How many cups of peaches will Fred need to make 60 cups of fruit salad? PLEASE GIVE A STEP BY STEP WAY TO FIND THE SOLUTION

Answers

Answer:

24 cups

Step-by-step explanation:

To find the amount of peaches in a fruit salad, you would multiply the cups of salad by 2/5 because 2 cups of peaches are dedicated to the fruit salad for every 3 cups of cherries, having the peaches make up 2 out of every 5 cups or 2/5. So the equation would be 60=0.4x, with x being the cups of peaches.

Answer:

40 Cups

Step-by-step explanation:

The number we want is 2/3 of 60. We need to multiply 2/3 by 60 which is 40. 40/60 is the new ratio of peaches to cherries, which is still 2/3. This way, we know we did it correctly.

Which statement best describes the function represented by the graph

Answers

Answer:

Where is the graph?

Step-by-step explanation:

What is the distance formula?

Answers

Answer:

B

Step-by-step explanation:

d = [tex]\sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]

d  = distance

(x1, y1) = coordinates of the first point

(x2, y2) = coordinates of the second point

What is the slope of the line that passes through points (0,7) and (-3, 0)? O A Α. 7 ОВ. 7 O C. 13 OD 3​

Answers

Answer:

[tex]m=\frac{7}{3}[/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]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (0, 7)

Point (-3, 0)

Step 2: Find slope m

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

Substitute [SF]:                    [tex]m=\frac{0-7}{-3-0}[/tex]Subtract:                              [tex]m=\frac{-7}{-3}[/tex]Simplify:                               [tex]m=\frac{7}{3}[/tex]

Which of the given expressions results in 0 when evaluated at x = 5?
ОА.
5x(x-7)
OB. (x + 7)(x-2)
OC. (x-8)(x - 5)
OD
(x + 5)(x-8)

Answers

Answer:

C (x-8)(x-5)

Step-by-step explanation:

(5-8) = -3

(5-5) = 0

-3 x 0 = 0

The table below represents a function. Write a number from the given values below to complete the table of values.

Answers

The answer is -3/-1/2

Tap on a clip to paste it in the text box.

Angle A and Angle B are supplementary angles. If the measure of angle A = (6x + 10)° and the measure of angle B = (4x +30), then find the measure of angle B.

Answers

Answer:

86°

Step-by-step explanation:

Given:

 A = (6x + 10)°

 B  =  (4x +30)°

Two angles are supplementary if they sum up to 180° ;

 A + B  = 180°  

 Now insert the parameters and solve;

  6x + 10 + 4x +30 = 180

      10x + 40  = 180

       10x  = 140

           x = 14

So;

    B  =  (4x +30)°  = 4(14) + 30  = 86°

The table shows test scores for six students. Do the data show a positive or a negative correlation? Can the data be used to show causation?

Answers

It does show a positive correlation and yes the data can be used because they are increasing as you go right.

2 sides equations

1. 15x-8x= 5x +48

2. 4-2y= 4y

3. 4-5x= 3+x

4. 2x+8=2x-5

5. 4y+9= 4y+9

Answers

Answer:

15x-8x-5x=48

3x=48

or X=16

4=4y+2y

or 4= 6y

or 4/6=y

or y=2/3

4-5x= 3x

or 4=5x+3x

or 4=8x

or 4/8=X

or X=2

2x=2x-5+8

or,2x= 2x-13

or 2x+2x=13

or 4x=13

or X= 13/4

or X =3.25

4y=4y+9-9

or 4y=4y+0

or 4y-4y=0

or 0=0

hi im 29 yrs of age and just going back to school torecieve my hs diploma.i have 2 subjects left which is math and writing.im having a problem with adding fractions.one of the math problems are 3 1/7 + 6 4/7 i came up with 9 5/7 but im not sure this is correct

Answers

Answer:

yup your answer is correct

Step-by-step explanation:

xhfdgkdhkchkdgjdgkfkyfgkfhg

Answer:

it's correct and i'm 13

if u add the whole numbers first which is 3+6 which equals 9 and then u add 1/7 + 4/7 which will give you 5/7. So the whole answer will be what you said 9 5/7

hirokis goal is to collect $40 for a school fundraiser

Answers

Answer:

is there more?

Step-by-step explanation:

Answer:

40-26.50=m

Step-by-step explanation:

Cause im doing it right now and i got it right

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