Find the equation of the line that is parallel to y = 2x - 3 and passes through the
point (0,7).

Answers

Answer 1

Answer: [tex]y=2x+7[/tex]

Step-by-step explanation:

Let's introduce couple variables [tex]m_{1}[/tex] (slope of your equation) and [tex]m_{2}[/tex] (slope of the equation we need to find.

Parallel lines have the same slope, therefore: [tex]m_{1} = m_{2}[/tex], where [tex]m_{1}=2[/tex] and this means that [tex]m_{2} = 2[/tex] as well.

Given that we will use point-slope equation form with the point (0,7):

[tex]y-y_{1} =m(x-x_{1} )\\[/tex] where [tex](x_{1}, y_{1} )[/tex] is the point

Let's substitute:

[tex]y-7=2(x-0)\\[/tex]

And calculate:

[tex]y-7=2x\\[/tex]

Now we just need to isolate [tex]y[/tex] by subtracting 7 from both sides:

[tex]y=2x+7\\[/tex]

That's it!

Here's the graph to show the results:

Find The Equation Of The Line That Is Parallel To Y = 2x - 3 And Passes Through Thepoint (0,7).

Related Questions

Simplify: show all your steps 30 POINTS!

Answers

Where is the question

What is a rational number between 1/3 and 1/9?

Answers

Answer:

1/4

Step-by-step explanation:

its 0.25 which is rational. and its between the two.

chose all that apply

Answers

Answer:

Rational

Integer

Step-by-step explanation:

B AND C NOT SURE IF ITS CORRECT

Grace buys notebooks at a price of four for $5 and sells them at a price of three for $6. How many notebooks must she sell in order to make a profit of $120

Answers

Answer:

125 I think

I'm a lil slow

Grace needs to sell 160 notebooks to make a profit of $120

What is an equation?

Two algebraic expressions having the same value and the symbol '=' in between are called as an equation.

Given:

Grace buys notebooks at a price of four for $5.

Unit cost price,

= $5 / 4

= $1.25

And sells them at a price of three for $6.

Unit cost price,

= 6/3

= $2.

Profit = sales - cost

So, the equation,

120 = 2x - 1.25x

0.75x = 120

x = 120/0.75

x = 160

Therefore, 160 notebooks need to sell to maker profit of $120.

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2. Which type of variation is represented by the following equation?

Answers

indirect variation

Verification

[tex]\\ \rm\Rrightarrow s\propto \dfrac{1}{y}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{s_1}{t_2}=\dfrac{s_2}{t_1}[/tex]

[tex]\\ \rm\Rrightarrow s_1t_1=s_2t_2[/tex]

HELPPPP! PLEASEEEEE!

A mountain climber ascends a mountain to its peak. The peak is 10,740 ft above sea level. The climber then descends 400 ft to meet a fellow climber. Find the climber's elevation above sea level after meeting the other climber.

A. 10,740 ft above sea level.
B. 10.340 ft above sea level.
C. 11,140 ft above sea level.
D. 400 ft below sea level.

Answers

Answer:

10,340 ft

Step-by-step explanation:

the peak is 10,740 ft and since the climber is at the peak, that's their elevation.

he goes down 400 ft so its 10,470 - 400 which is 10,340

Answer:

B. 10,340

Step-by-step explanation:

The peak is 10,740, since they descend 400, it is subtraction. 10,740 - 400 is 10,340.

Please help me with number 2?

Answers

Answer:

y= 2× +4

Step-by-step explanation:

Slope intercept form y = mx +b

4x -2y = -8

-2y = -4x-8

y = 2x +4

slope = 2x

y intercept = 4

Multply 7/8 to 2-1/3

Answers

Answer:

17/12

Step-by-step explanation:

7/8 x 2-1/3

7/4-1/3

17/12

George has $15. He tries to buy a movie ticket ($9.00), a pretzel ($2.65), a drink ($1.35), and two veggie cups ($1.74 each) but he does not have enough money. Look at the numerical expression George used: 15-9+2.65+1.35+2(1.74)
Why does George need to fix the expression?

Answers

George needs to fix the expression because if you did the equation as is, it wouldn't subtract the added value from 15.

George always requires $1.48.

How to estimate the value of the expression?

The order of operations exists as a law that tells the correct sequence of measures for considering a math expression. We can determine the mandate utilizing PEMDAS: Parentheses, Exponents, Multiplication, and Division (from left to right), Addition, and Subtraction (from left to right).

Given: George tries to purchase a movie ticket ($9.00), a pretzel ($2.65), a drink ($1.35), and two veggie cups ($1.74 each)

9 + 2.65 + 1.35 + 1.74 + 1.74 = 16.48

Subtract 15 to 16.48

15 - 16.48 = 1.48

George always needs $1.48.

Therefore, the proper answer is $1.48.

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Suzie determined the range of a quadratic function to be y ≤ –5. Choose the correct interval notation.

Answers

The range of equation is

interval :(-5, ∞)interval :[-5, ∞)interval: (-∞, -5)interval: (-∞, -5]What is interval?

A interval is a set of real numbers that contains all real numbers lying between any two numbers of the set.

Given function :  y ≤ –5

if, y > -5 then,

interval :(-5, ∞)

if y ≥ -5  then

interval :[-5, ∞)

if y < -5   then

interval: (-∞, -5)

if y ≤ -5   then

interval: (-∞, -5]

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3. Write a word phrase using 10x(14+11)

Answers

Answer:

10 multiplied by the sum of 14 and 11

Step-by-step explanation:

[tex].[/tex]

Name a point that is coplanar with points H, D, and A.
E
F
P
B

Answers

the answer for that question is P

Write the scientific notation for 127.5. Please! And tell me how so I can learn too. ​

Answers

1.275 x 10 to the second power

In scientific notation, you move the decimal place until you have a number between 1 and 10. Then you add a power of ten that tells how many places you moved the decimal. In scientific notation, so 127.5 becomes 1.275 x 10 to the second power.

Source: https://www.infoplease.com/math-science/mathematics/numbers-formulas/scientific-notation

Describe how the graph y = 2x is the same and different from the graph
y = 2x + 7. Explain or show your reasoning.

Answers

Answer:

The slope is the same, whereas b is the y-intercept on the graph, so the y=2x+7 line would be on 7 on the y-axis

Step-by-step explanation:

PLS HELPP , i tried solving this and i wrote 56 but it was wrong so i don’t know anymore pls pls help

Answers

Answer:

y = 68

A = 44

Step-by-step explanation:

No matter what may be true, that doesn't look like an a to me.

x = y = 68                x and y are opposite equal sides and are therefore =.

68 + 68 + A = 180  all triangles are 180 degrees.

136 + A = 180          Subtract 136 from both sides

A = 180 - 136

A = 44

The expression 1/x+y
is equal to which quantities?
(1/x) + y
1/x + y
1/(x + y)

Answers

The equivalent form of the given expression is 1 /(x + y)

The given expression:

[tex]\frac{1}{x+y}[/tex]

To find:

the equivalent form of the expression:

The equivalent form of the expression can be written as follows:

[tex]\frac{1}{x+y} = 1 /(x + y)[/tex]

For example, if x = 1 and y = 2, the inverse of the expression can be written as;

[tex]\frac{1}{x + y} = \frac{1}{(1 + 2)} = \frac{1}{3}[/tex]

Also, if x = 2 and y = 3, the inverse of the expression can be written as;

[tex]\frac{1}{x + y} = \frac{1}{(2 + 3)} = \frac{1}{5}[/tex]

Thus, the equivalent form of the given expression is 1 /(x + y)

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i need the answers for all three of those

Answers

HERE ARE THE ANSWER! please let me know if it’s wrong.. good luck, hope this helps!
1. -2
3. 4

Answer:

1) = -10

3) = 4

Step-by-step explanation:

Chow,...!

Find a formula for the general term an of the sequence, assuming that the pattern of the first few terms continues. (Assume that n begins with 1.) {-4, 8/3, -16/9, 32/27, -64/81, . . . } an =

Answers

Step-by-step explanation:

a1 = -4 = -4/1, a2 = 8/3

r = a2/a1 = (8/3) / (-4/1) = -2/3

the formula :

an = a1. r^(n-1)

so,

an = (-4). (-2/3)^(n-1)

Step-by-step explanation:

[tex]-4, \dfrac{8}{3}, -\dfrac{16}{9}, \dfrac{32}{27}, -\dfrac{64}{81},..., (-1)^n\dfrac{2^{n + 1}}{3^{n - 1}}, ...[/tex]

You and your family are planning a vacation of a lifetime around the world that will cost $25,000. You borrowed this amount from your bank with an annual interest rate of 10.5%. You decided to pay it back in 5 years. What is the interest that will accrue on this loan?

$3,125.00

$131,250

$13,125.00

$312.50

Answers

Answer:

$13,125

Step-by-step explanation:

The value of the interest that will accrue on this loan will be;

⇒ $13,125

What is Simple interest?

A quick and easy method of calculating the interest charge on a loan is called a Simple interest.

Given that;

You and your family are planning a vacation of a lifetime around the world that will cost $25,000.

And, You borrowed this amount from your bank with an annual interest rate of 10.5%.

Now,

Since, You borrowed this amount from your bank with an annual interest rate of 10.5%.

Hence, The total interest amount after five years is,

⇒ 5 × (10.5% of $25,000)

⇒ 5 × (10.5/100 × 25,000)

⇒ 5 × 2,625

⇒ $13,125

Thus, The total interest amount after five years = $13,125

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if a metalic cylinder having volume 18cm3 is melted to form a hemisphere. find the radius of the hemisphere.​

Answers

Answer:

R = 2.05 cm

Step-by-step explanation:

Volume of a hemisphere

V = ½(4/3)πR³ = (2/3)πR³

18 = (2/3)πR³

R³ = 27/π

R = 2.04835218...

real life example of a ray

Answers

sun ray in space with the sun being the endpoint

1.What is the number?
The number is not an odd number
It has exactly four factors
If you reverse the digits, a prime number is formed
The sum of the digits is a two digit prime number
The number is less than the square root of 10^4
One of the digits is a square number

Answers

Prime number or u also can write palindromic number

Answer:

15647569

Step-by-step explanation:

1+1

Answers Please i gave the most amount of points i could!!!

Answers

Answer:

its c

Step-by-step explanation:

4/8 divided by 4/6


thank you for your answer

Answers

3/4 exact form

Hope you get the right answer!

Answer:

[tex] \frac{3}{4} [/tex]

Step-by-step explanation:

[tex] \frac{4}{8} \div \frac{4}{6} [/tex]

[tex] \frac{4}{8} \times \frac{6}{4} [/tex]

[tex] \frac{1}{4} \times 3[/tex]

[tex] = \frac{3}{4} [/tex]

Hi fellow Army^^

WHOEVER ANSWERS FAST AND CORRECT GETS BRAINLIEST! (PICTURE INCLUDED)

Write an algebraic expression for 4 more than 3 times a number. (5 points) Part B: Write a verbal expression for 2(n + 9). (5 points)​

Answers

Answer:

2n+18

Step-by-step explanation:

2xn=2n

2x9=18

2n+18

Answer:

A) 3x+4

B) Twice of sum of a number and 9.

There are five boys to every three girls in an introductory chinese course. If there are 384 students enrolled in the course. how many are boys?

Answers

256 boys
384\3 (girls) gives you 128 (girls)
384-128= 256
and to check yourself do 256+128
giving you 384

30 points!
You start at (-2, 2). You move left 3 units and right 10 units. Where do you end?

Answers

Answer:

The answer is (5, 2)

Step-by-step explanation:

I. If move left = -x

    move right = +x

  So -2 - 3 =  -5 => move left

        -5 + 10 = 5 => move right

I suggest that move left and right is x cordinate

The answer is (5,2)

Is that correct?

How to do problem 17

Answers

the value of n would be 5.
plugging in 5 and solving gives you the square root of 81 and the square root of 36. these would give you answers of 9 and 6 making it rational.

if this helped please give brainliest!

12. A jet stream can move a particle of air
11 miles in 5 minutes. At this rate, how far
will the particle move in 1 hour?
(5 minutes = 1 hour) (Example 1)

Answers

Answer:

132 particles

Step-by-step explanation:

5 minutes =  11 miles

1 hour (60 minutes)

11*x = 11 x 60 = 660

11x = 660/5=132

The distance of a jet stream can move a particle of air 132 miles in 1 hour.

Here,

A jet stream can move a particle of air 11 miles in 5 minutes.

We have to find, The distance of particles move in 1 hour.

What is distance?

The length along a line or line segment between two points on the line or line segment.

Now,

A jet stream can move a particle of air 11 miles in 5 minutes.

5 minutes = 11 miles

Then, for 1 minute a jet stream can move a particle of air = 11 / 5 miles

Hence, In 1 hour ( 60 minutes) a jet stream can move a particle of air;

⇒ [tex]\frac{11}{5} * 60 = 132[/tex]

So, The distance of a jet stream can move a particle of air 132 miles in 1 hour.

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Kate collected a sample of monthly rents and recorded the following numbers:
$500, $525, $550, $600, $600, $750, $775, $800, $1350.
If Kate drops the unusually high rent of $1350 from the data set, which of the following would NOT be affected?
a.) The highest monthly rent
b.) The average monthly rent.
c.) The most frequent monthly rent.
d.) The spread of the monthly rents

Answers

C) will not effected (the most frequent is still 600$)

The property that they would never be affected by is the most frequent monthly rent. Option C is correct.

Given that,
Kate collected a sample of monthly rents and recorded the following numbers: $500, $525, $550, $600, $600, $750, $775, $800, $1350. Kate drops the unusually high rent of $1350 from the data set, which of the following would not be affected is to be determined.

What is Statistic?

The statistic is the study of mathematics that deals with relations between comprehensive data.

Here,
If the rent of $1350 is dropped by Kate, definitely affect the average, highest monthly rent, and the spread of the monthly sheet, but it won't affect the most frequent monthly of rent because the most frequent rent is $600.

Thus,  the property that they would never be affected by is the most frequent monthly rent. Option C is correct.

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