What is an equation of the line that passes through the point (1,7) and is parallel to
the line 3x - y = 1?

Answers

Answer 1

Step-by-step explanation:

3x - y = 1

y = 3x - 1

the slope of a line function is always the factor of x.

in our case : 3

it is the ratio y/x indicating how many units y changes, when x changes a certain amount of units.

in our case (3 = 3/1) y increases by 3 for every x increase by 1.

now, the parallel slope is simply the same as for the original line.

so, the line function looks like

y = 3x + b

b is the y-intercept, and we get it by using the coordinates of the point as x and y

7 = 3×1 + b = 3 + b

b = 7 - 3 = 4

the full line equation is

y = 3x + 4

Answer 2

Answer:

Step-by-step explanation:

3x - y = 1

y = 3x - 1

the slope of a line function is always the factor of x.

in our case : 3

it is the ratio y/x indicating how many units y changes, when x changes a certain amount of units.

in our case (3 = 3/1) y increases by 3 for every x increase by 1.

now, the parallel slope is simply the same as for the original line.

so, the line function looks like

y = 3x + b

b is the y-intercept, and we get it by using the coordinates of the point as x and y

7 = 3×1 + b = 3 + b

b = 7 - 3 = 4

the full line equation is

y = 3x + 4


Related Questions

Question 2(Multiple Choice Worth 5 points)
(04.05)Marisa painted one-half of her bedroom in three-fourths of an hour. At this rate, how long would it take her to paint the entire room?

three-eighths of an hour
eight-thirds of an hour
four-sixths of an hour
six-fourths of an hour
I think its the last one

Answers

Answer:

D.six-fourths of an hour

Step-by-step explanation:

(1/2) / (3/4) = 1/x....1/2 bedroom to 3/4 hr = 1 bedroom to x hrs

cross multiply

1/2x = 3/4

x = 3/4 * 2

x = 6/4 of an hr

S. Jada has 12 library books checked out and Han has 2/3 less than that. How many books does Han have checked out?​

Answers

Answer:

I am pretty sure it is 4.

help me please zearn

Answers

Given diameter 23.80 cm
So radius = diameter/2 = 23.80/2 = 11.9
Circumference formula is 2πR
C = 2 * π * 11.9
= 23.80 * 3.14
= 74.732

Find the area of the composite figure.
First, find the area of the triangle.
Triangle
Area = [?] cm2
Rectangle
Area = [ ]cm
10 cm
30 cm
Total Area of Composite
Figure = [] cm2
16 cm
Enter

Answers

Answer:

630

Step-by-step explanation:

First do length x width divided by 2, to find the area of the triangle.

You get, 150.

To find the area of the rectangle, do 16 x 30= 480  

Lastly you add 150 and 480=

630

I hope this helped! :)

3)
The radius of the top of a circular table is 60 cm.
The table also has a circular base with diameter 30 cm.
a) Work out the circumference of the top of the table.
Let T be 3.14
b) Work out the circumference
Let it be 3.14
the base of the table.

Answers

Answer:

1

Step-by-step explanation:

1

Find a formula for the inverse of the following function, if possible.

[tex]A(x) = \frac{3}{3x - 4}[/tex]

[tex]A^{-1} (x) = ___________ does not have an inverse function

Selecting a radio button will replace the entered answer value(s) with the radio button value. If the radio button is not selected, the entered answer is used.

Answers

Answer:

hi

Step-by-step explanation:

The line graphed below can be described by an equation in the form of y = mx + b. For
this line, which is true about the values of m and b?

Answers

Answer:

Step-by-step explanation:

Write the ratio in simplest form as a fraction.
2 1/4 to 7 7/8

Answers

9/4 : 63/8

2 1/4 = 9/4
7 7/8 = 63/8

I neeeeeeed help plz

Answers

Answer:

i have the same question some one help

Step-by-step explanation:

Assuming that a country’s population is now 3 million and is growing exponentially with growth constant 0.02, what will be the average population during the next 50 years?

Answers

Using the exponential growth principle, the population of the country in the next 50 years would be 8074764.08722

The exponential growth can be modeled using the relation :

[tex] f(t) = A(1 + r)^{t} [/tex]

A = initial population value = 3,000,000r = growth rate = 0.02 t = time = 50 years

Substituting the values into the equation, we'll have :

[tex] f(50) = 3000000(1 + 0.02)^{50} [/tex]

[tex] f(50) = 3000000(1.02)^{50} [/tex]

[tex] f(50) = 3000000(2.6915880...) [/tex]

= 8074764.08722

Therefore, the population in the next 50 years would be 8074764.08722

Learn more : https://brainly.com/question/18796573

help please! indicate the equation of the given line in standard form the line that contains the point q 1,2 and is parallel to the line whose equation is y-4=2/3(x-3)​

Answers

9514 1404 393

Answer:

  2x -3y = 8

Step-by-step explanation:

It is helpful to start by putting the given equation in standard form

  y -4 = 2/3(x -3)

  3y -12 = 2x -6 . . . . . . multiply by 3, eliminate parentheses

  2x -3y = -6 . . . . . . . .  add 6-3y to get standard form

When point Q is substituted for x and y, the new constant on the right is ...

  2x -3y = 2(1) -3(-2)

  2x -3y = 8

_____

Additional comment

The equation is in standard form when the leading coefficient is positive, all coefficients are mutually prime integers, and the form is ...

  ax +by = c

Note that we subtracted the y-term, rather than the x-term from the given equation. This is so the x-term would have a positive coefficient. We could have written our standard form equation as ...

  3y -2x = -8

but it is a bit unusual to have the variables not be in alphabetical order.

Which expression is equivalent to
(
8.4
x
+
2.9
)
+
(

3.7
x
+
5
)
?

Answers

Answer:

i have the same question lol

Step-by-step explanation:

But i d k  the answer either sorry

Answer: 4.7x + 7.9

Step-by-step explanation:    8.4x + 2.9 - 3.7x + 5

( 8.4x- 3.7x) + ( 2.9+ 5)

( ( 8.4- 3.7) X x + ( 2.9+ 5)

4.7x +  (2.9+5)

4.7x + 7.9

I hope this helps have a great Day/night!!

Find the value of x.

Answers

Answer:

x = 11

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 given angles and equate to 180

3x + 4 + 5x - 2 + 90 = 180

8x + 92 = 180 ( subtract 92 from both sides )

8x = 88 ( divide both sides by 8 )

x = 11

I need help on doing this so thank u to however helps

Answers

5/8. make 1 1/2 and improper fraction then get the denominator to be the same. multiple your numerator by the same number you use in the denominator and subtract.

What is m<TVZ? Show your work.

Answers

Step-by-step explanation:

What is m∠TVZ?

m∠TVZ is angle TVZ

Prove the polynomial identity 1. x ^ 2 - y ^ 2 = (x - y)(x + y)

Answers

Mr. Jones's prescription calls for 1.04 tablets per day. Based on this information, how many tablets should Mr. Jones take per day? a) 1.25 O b) 1.5 c) 1 O d) 2

explain step by step

Answers

Answer:

Step-by-step explanation:

(3x - 4)/8 = (x + 2)/3       Cross multiply

8(x +2) = 3(3x - 4)          Remove the brackets using the distributive  property

16x + 16 = 9x - 12          Subtract 16 from both sides

16x = 9x - 12 - 16           Combine

16x = 9x - 28                 Subtract 9x from both sides

16x - 9x = - 28               Combine

7x = - 28                         Divide by 7

x = - 4

           

Help please full explanation

Answers

Answer:

where is the pic? please give it

Answer:

Where is the question lol

What is the value of the expression below when z = 7?
8z– 3

Answers

Hello there! :)

To find our answer, we must plug in the value of z:

8z-3

8(7)-3

56-3

53

Therefore, our final answer is: [tex]53[/tex]

Hope this helps!

~Just a felicitous girlie

#HaveAnAwesomeDay

[tex]SilentNature :)[/tex]

A runner sets a goal to run 100 miles. How many days will it take to reach the goal if she runs 4/5 of a mile each day?

Answers

☆Answer :

100 ÷ 4/5 = ...

= 100 × 5/4

= 500/4

= 125day

Answer:

125 days

Step-by-step explanation:

100 ÷ 4/5 = 100/1 × 5/4 = 500/4 = 125

Answer: 125 days

73 is 20% of what number step by step

Answers

Answer:

365

Step-by-step explanation:

(20*x) / 100 = 73

Answer:

365

Hope this helps :)

Step-by-step explanation:

We already have our first value 73 and the second value 20. Let's assume the unknown value is Y which answer we will find out.

As we have all the required values we need, Now we can put them in a simple mathematical formula as below:

STEP 173 = 20% × Y

STEP 273 =  

20

100

× Y

Multiplying both sides by 100 and dividing both sides of the equation by 20 we will arrive at:

STEP 3Y = 73 ×  

100

20

STEP 4Y = 73 × 100 ÷ 20

STEP 5Y = 365

Finally, we have found the value of Y which is 365 and that is our answer.

You can easily calculate 73 is 20 percent of what number by using any regular calculator, simply enter 73 × 100 ÷ 20 and you will get your answer which is 365

If ABCD is a rhombus containing a right angle, then DABC is a square. Can you explain your reasoning?

Answers

The opposite angles of a rhombus are congruent

It is true that rhombus ABCD is a square

A rhombus has the following features

All sides are equal.Opposites angles are equal.Adjacent angles add up to 180 degrees

The above highlights mean that:

The angle opposite the right angle is also a right angle.The angles adjacent the right angles are also right angles.

So, the four angles in the rhombus are right angle, and the side lengths are equal.

Hence, the rhombus is a square

Read more about rhombus at:

https://brainly.com/question/20627264

What percentage is 27 out of 30

Answers

Answer:

the answer is 90%

Step-by-step explanation:

hope this helped

90%
For future reference, take the amount of points you earned and divide by the total number of questions. Then multiply that decimal by 100, and you will have your answer.
27/30= 0.9
0.9 x 100= 90%

simplify 3 ( y − 1 + 2 y )

Answers

Answer:

9y - 3

Step-by-step explanation:

3(y - 1 + 2y)

3y - 3 +6y

9y - 3

Sam walked her dog 1/2 miles on monday and 7/8 on tuesday how much further did sam walk her dog on Tuesday than monday

Answers

Answer:

3/8 more

Step-by-step explanation:

-1/2(7w+4)+1/5(5w-15)​
please explain how to solve. thank you

Answers

Answer:

[tex]-\frac{7w+4}{2}+w-3[/tex]

Step-by-step explanation:

Is this the correct statement?

[tex]-\frac{1}{2}(7w+4)+\frac{1}{5}(5w-15)[/tex]

If so, here's how. While we're here, you don't actually "solve" an expression, you can only simplify it. Solving it implies solving an equation, and that needs an = sign.

Starting on the left. First, distribute the fraction over the parenthesis:

[tex]-\frac{7w+4}{2}+\frac{1}{5}(5w-15)[/tex]

Then, do the same thing on the right. Distribute the fraction over the parenthesis again:

[tex]-\frac{7w+4}{2}+\frac{5w-15}{5}[/tex]

Here, on the right, 5 and 15 have a common factor of 5. Factor that out:

[tex]-\frac{7w+4}{2}+\frac{5(w-3)}{5}[/tex]

Finally, cancel out the 5s:

[tex]-\frac{7w+4}{2}+\frac{w-3}{1}\\\\-\frac{7w+4}{2}+w-3[/tex]

That's as simplified as it gets.

Write the number 605,000 in words! :]

Answers

Answer:

Six Hundred and five thousand

Answer: six hundred and five thousand

I hope this help I would appreciate brainliest if possible :)

Write each as a decimal and round to the thousandth place.
65%
O.3%
445%

Answers

65% = .65
0.3% = .003
445% = 4.45

Answer:

0.650

.003

4.450

Step-by-step explanation:

The table below represents a linear function f(x) and the equation represents a function g(x):

x f(x)
−1 −5
0 −1
1 3
g(x)

g(x) = 4x + 3

Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points)

Part B: Which function has a greater y-intercept? Justify your answer. (4 points)

Answers

the answer is g(x)=4x+3

If ΔFGH ≅ ΔIJK, which segment is congruent to segment GH?

A.)segment HF

B.)segment JK

C.)segment IJ

D.)segment FG

Answers

Step-by-step explanation:

since I don't see a picture, I can only go with the written information. and then I have to rely on the writer to strictly use the same sequence of points when comparing objects.

and so, GH must be congruent to JK.

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