Consider the equation.
8x - 16y = - 14

The equation representing a line that is parallel to the line given and passing through the point (3, 0) is y= ___ x + ___

Answers

Answer 1

Answer:

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

Step-by-step explanation:

Rearrange equation to isolate y variable.

[tex]16y=8x+14[/tex]

Divide by 16 on both sides.

[tex]y=\frac{1}{2} x+7[/tex].

To make the line parallel to the given equation and pass through (3,0),

we will move the y intercept to 3.

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


Related Questions

Nathan works the same number of hours each day, 5 days each week. He earns $12 per hour. Last week he earned $420. How many hours did he work each day?

Answers

Answer:

He worked 7 hours each day, last week

Step-by-step explanation:

-$420 earned last week

-He worked for 5 days (420 / 5)

-He earns $12 per hour

- How many hours he worked is unknown (x)

Equation

12x = 420/5

12x = 84

x = 7

Find the value 3x-7 if 4x+12=24

Answers

I'm pretty sure that's what you meant

Robert and Tony love to read. Robert reads 30 pages the first day and 20 pages each day after that. Tony reads 40 pages the first day and 15 pages each day after that. Will the boys ever read the same amount of pages? If so, how many days will it take them to read the same number of pages? A. Yes. They will read the same amount of pages in 3 days. B. Yes. They will read the same amount of pages in 5 days. C. Yes. They will read the same amount of pages in 6 days. D. No. They will never read the same amount of pages.

Answers

Answer:

Yes they will read the same amount of pages in 3 days

Step-by-step explanation:

Because when you do the math they add up to the same amount of pages.

The correct statement is;

''Yes. They will read the same amount of pages in 2 days.''

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Robert reads 30 pages the first day and 20 pages each day after that.

And, Tony reads 40 pages the first day and 15 pages each day after that.

Now,

Let the number of days for same pages read = x

So, We can formulate;

For Robert;

Number of pages = 30 + 20x

For Tony;

Number of pages = 40 + 15x

For equal days, we get;

⇒ 30 + 20x = 40 + 15x

Solve for x as;

⇒ 20x - 15x = 40 - 30

⇒ 5x = 10

⇒ x = 2

Thus, The correct statement is;

''Yes. They will read the same amount of pages in 2 days.''

Learn more about the mathematical expression visit:

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Joan is thinking of a number. She adds 5 and multiplies it by 4. She then subtracts n of her original number and divides by 20. She wants the answer to always be 1. What is the value of n?​

Answers

Answer:

5

Step-by-step explanation:

(4n+5)-n/20=1 cross multiply:(4n+5)-n=204n+5=20+n4n-n=20-53n=15Divide both sides by coefficient of nn=5

What is an equation of the line that passes through the points (2, -1) and (3,-4)

Answers

Answer:

Step-by-step explanation:

Given:

x1 = 2

x2 = 3

y1 = -1

y2 = -4

Solution:

m = ( y2 - y1 ) / ( x2 - x1 )

m = ( -4 - -1 ) / ( 3 - 2 )

m = -3 / 1

m = -3

Then,

y - y1 = m ( x - x1 )

y - (-1) = -3 ( x - 2 )

y + 1 = -3x + 6

y = -3x + 6 - 1

y = -3x + 5

help me solve this please

Answers

Answer:

[tex] \sqrt{8} [/tex]

Step-by-step explanation:

an

irrational number can only be written in the form with never ending,non-repeatinng digits after the decimal comma

Which of the following are valid names for the given triangle? Check all that
apply.

Answers

Answer:

A) AXT

C) TAX

F) XTA

=====================================

Explanation:

We name a triangle based on its corner points (aka vertex points). Those three points are A, T and X. The order doesn't matter so there are 6 ways to name this triangle and they are

ATXAXTTAXTXAXATXTA

The terms in bold are the final answers. Anything involving M or Y isn't part of the naming because we use the corner points only.

The two interior opposite angles of an exterior angle of a triangle are 60% and 80 Find the measure of the exterior angle please help me ​

Answers

Answer:

2. The two interior opposite angles of an exterior angle of a triangle are and . Find the measure of the exterior angle. 

Step-by-step explanation:

If a letter of the alphabet is chosen at random, what is the probability that it will be a vowel? (Y is not a vowel.) a. 1/2 b. 3/13 c. 1/5 d. 5/26 Please select the best answer from the choices provided A B C D

Answers

Answer: I believe D.

Is the sequence {4, 7, 10, 13, 16, ...} a function? Explain.

a
Yes, because each input is a natural number with multiple output numbers in the sequence

b
Yes, because each input is a natural number with a single output number in the sequence

c
No, because there are no input values paired with a single output number in the sequence

d
No, because there are multiple input values paired with a single output number in the sequence

Answers

Step-by-step explanation:

tricky, as the sequence does not define the input values.

by we can assume that the corresponding input values are 1, 2, 3, 4, 5, ... as it is usual for a sequence.

in that sense, b is the correct answer.

The sequence is a function because each input is a natural number with a single output number in the sequence.

What is arithmetic progression?

The difference between any two consecutive integers in an arithmetic progression (AP) sequence of numbers is always the same amount. It also goes by the name Arithmetic Sequence.

Given the sequence {4, 7, 10, 13, 16, ...},

Given that each term has a common difference, this is an arithmetic sequence. In this instance, the next item in the sequence is obtained by multiplying the previous term by 3.

a₂ - a₁ = 7 - 4 = 3

a₃ - a₂ = 10 - 7 = 3

the difference in output is the same for all the numbers in sequence.

Hence the sequence is the function of the Arithmetic Sequence.

Learn more about arithmetic progression;

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David makes a pizza with 8 slices of equal size . He covers 5 of the 8 slices with pepperoni. What percentage of the pizza is covered with pepperoni

Answers

Answer:

5/8 * 100 = 62.5 %

✺༒Question༒✺

Refer to attachment

Nonsence answer will get report​

Answers

Answer:

Hey mate.....

Step-by-step explanation:

This is ur answer.....

(i) 64(ii) 729(iii) 121(iv) 625

Hope it helps!

Brainliest pls!

Follow me! :)

Answer:

REFER TO ATTACHMENT

I HOPE IT IS HELPFUL

10 x + 2 y . Find P when: x = 3 and y = 6



help pleaseee

Answers

Answer:

42

Step-by-step explanation:

(10x3) + (2x6)

= 30 + 12

= 42

10x + 2 y = (10.3) +(2.6) = 30+12=42

Our answer is 42

Identify the solution set of the inequality, using the given replacement set.


x < –4; {–10, –4.3, –4, –3.9, 2, 6.5}
{–10, –4.3, –4}

1.{–10, –4.3, –4}


2.{–4, –3.9, 2}


3.{–10, –4.3}


4.{–3.9, 2}

Answers

Step-by-step explanation:

es el número 4[-3.9,2] esta es la respuesta

The perimeter of a rectangle is 80 feet.

Find the dimensions if the length is 5 feet longer than four times the width.

Then find the area of the rectangle.

Answers

Answer:

l=33 feet

w=7 feet

Area= 231 feet

Step-by-step explanation:

The recipe for Nestle Tollhouse Chocolate Chip Cookies calls for 2
2
cups of chocolate chips to make 5
5
dozen cookies. If you want to bake 9
9
dozen cookies, how many cups of chocolate do you need?

Answers

Answer:

6 cups of chocolate chips

Step-by-step explanation:

2:5 5+4=9 so add 4 to each side of the ratio

6:4

Latasha $289 last week.she earned $213.73 this week how much more did latasha earn last week than this week

Answers

Answer:

75.27

Step-by-step explanation:

Subtract this week from last week

289-213.73

75.27

please help me i’m so lost Determine the lengths of AB and AC in the right triangle. You may give your answers in radical
form.

Answers

Answer:

see explanation

Step-by-step explanation:

Using the sine/ cosine ratios in the right triangle and the exact values

sin30° = [tex]\frac{1}{2}[/tex] , cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] , then

sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{6}{AB}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

AB = 12

cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{AC}{12}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

2 AC = 12[tex]\sqrt{3}[/tex] ( divide both sides by 2 )

AC = 6[tex]\sqrt{3}[/tex]

Factor the polynomial expression 8x^3+1

Answers

[tex] {8x}^{3} + 1 \\ = {(2x)}^{3} + {(1)}^{3} \\ = (2x + 1)( {(2x)}^{2} - 2x \times 1 + {(1)}^{2}) \\ = (2x + 1)( {4x}^{2} - 2x + 1)[/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

PLS HELP ME I'M SO CONFUSED!!!!!!

Answers

Answer:

a = -3, b = 2.5, c = - 1/2

Step-by-step explanation:

1)

[tex]3^a=1/27[/tex][tex]3^a=1/3^3[/tex][tex]3^a=3^{-3}[/tex][tex]a=-3[/tex]

2)

[tex]3^b=9\sqrt{3}[/tex][tex]3^b=3^2*3^{1/2}[/tex][tex]3^b=3^{2+1/2}[/tex][tex]3^b=3^{2.5}[/tex][tex]b=2.5[/tex]

3)

[tex]3^c=1/\sqrt{3}[/tex][tex]3^c=1/3^{1/2}[/tex][tex]3^c=3^{-1/2}[/tex][tex]c = - 1/2[/tex]

Graph a line with a slope of -3/4 that contains the point (2,3).

Answers

Answer:

The graph will be on the bottom:

Step-by-step explanation:

First find the slope intercept form:

y=mx+b

m is slope

b is y-intercept

since we already have slope we can replace that with m

y=-3/4x+b

Now substitute x and y with 2 and 3

3=-3/4 (2)+b

3=-3/2+b

Add on both sides:

9/2=b

Thus the Slope-intercept form is

y=-3/4x+9/2

Hope this helps!

i need help with this i dont know how to do it...

Answers

∠C & 40° are vertically opposite angles. Vertically opp. angles have equal measures. So,

[tex]\mathfrak{Angle \: of \: C = \boxed{40^{\circ}}}[/tex]

[tex]\mathbb{MIREU} [/tex]

Giải phương trình: 2x + x + 12 =0

Answers

Answer:

x = - 4

Step-by-step explanation:

Or 3x +12=0

7363626x726=???? Helpppppp

Answers

Answer:

The answer is 5345992476

Step-by-step explanation:

7-3x=2x-8, How do you solved for x?

Answers

Answer:

x = 3

Step-by-step explanation:

7- 3x = 2x - 8

7 = 5x - 8                   Add 3x on both sides

15 = 5x                       Add 8 on both sides

3 = x                            Divide both sides by 5

Sally wants to buy themselves a beautiful, scrumptious, delightful cake but they don't know how money works. If Sally has $50.00, and the cake is $54.99, how much more do they need? literally just made this question off the top of my mind xD

Answers

Answer:

$4.99

Step-by-step explanation:

$54.99-$50.00=$4.99

Answer:

Step-by-step explanation:

cake: $54.99

sally money: $50.00

54.99-50= $4.99 lol

In a relation y = 2t + 1, what is the value of y if t = 7

Answers

Answer:

If t = 7, y = 16

Step-by-step explanation:

y = 2t + 1

y = 2(7) + 1

y = 14 + 1

y = 15

Rachael is placing a protective cover on a glass case. The case is a cube, and the perimeter of one cube face is 56 inches.

How many square inches of the protective covering does she need for the case?

Answers

Answer:

336

Step-by-step explanation:

We know that a cube has 6 faces which means we can use this equation:

56 x 6 = 336

336 square inches is the answer.

Perimeter=56in

Side=56)4=14in

So area of one side=

(side)^2=(14)^2=196in^2

Cube has 6sides

So total protection:-

6(196)1176in^2

d= sqrt ( 2 )^ 2 +( 12 )^ 2

Answers

Answer:

d = 146

Step-by-step explanation:

Answer:

d=146

Step-by-step explanation:

the sqrt of 2(2) is 4 which can be simplified to 2 and the 12 raised to the second power is 144 so 2+144 is 146

A T-shirt company charges $4 per T-shirt, plus a
flat shipping fee of $5. Terry bought some
T-shirts. How can you write an algebraic
expression to represent the total cost of Terry's
order including shipping?
Plz help plz

Answers

Answer:

y = 4x + 5

Step-by-step explanation:

4 times the number of shirts, which is unknown, +$5 no matter how many.

Answer:

4x + 5

Step-by-step explanation:

Four multiplied by the number of shirts purchased (x) plus five dollars for shipping.

I hope this helps!!

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