Parallel to[tex]y= \frac{3}{4} x-4 [/tex]; through (-4,1)

Answers

Answer 1
Answer:  " y = [tex] \frac{3}{4} [/tex] x + 4 " .
_________________________________________________
Explanation:
_________________________________________________
We are given an equation in "slope intercept form" ; that is; in the form of :

"y = mx + b" ;  in which "y" in isolated on the left-hand side of the equation; with "no-coefficient" (except for the "implied coefficient" of "1");  

                      in which: "m" is the slope of the line; and the coefficient of "x";  and "b" is the "y-intercept" (or the value of the "y-coordinate" of the graph when "x = 0" ;  
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  We are given:  " y = [tex] \frac{3}{4} [/tex]x − 4 " ;  
 
in which the slope; "m", is "[tex] \frac{3}{4} [/tex]" .

Since we want to write the equation, in slope-intercept form, for the line PARALLEL to the given line; we known that the "line" that is "parallel" will have the same slope".

So we can write:  " y = [tex] \frac{3}{4} [/tex] x + b" .  

Note that we are instructed to find the "parallel line" that passed through:

 "(-4, 1)" ; 
______________________________________________________
So, in the aformentioned equation, we substitute "-4" for "x" ; and "1" for "y"; to solve for "b" ;
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   y = [tex] \frac{3}{4} [/tex] x + b ;

   1  =  [tex] \frac{3}{4} [/tex] * -4  + b ;

→  1 = -3 + b ;

↔ b + (-3) = 1 ;    

↔ b − 3 = 1 ;  

Add "3" to each side of the equation:

b − 3 + 3 = 1 + 3 ;

→ b = 4  .  
______________________________
Now, since we now that "b" is "positive 4" ; we can write the equation of the parallel line:

" y = [tex] \frac{3}{4} [/tex] x + 4 " .
__________________________________________________

Related Questions

A theater has 28 rows of 38 seats downstairs and 24 rows of 26 seats upstairs. How many seats does he theater have?

Answers

multiply rows by seats for each section then add them

28*38 = 1064

24*26 = 624

1064 + 624 =1688 total seats

based on your schedule having a car will cut your transportation costs enough to squeeze in a 4-Hour shift each weekend at the fast food store paying $9 per hour your estimate that the car will cost you $100 per week to own and operate your take home pay will be 70% of your gross pay it is it worth it to get the car

Answers

yes because each week you get 176.00

A sweater is marked down $25 to $19 what is the percent of change

Answers

19/25 = x/100
Cross multiply:
1,900
Divide 1,900 by 25
Equals 76
Subtract 76 from 100
Answer: 24% change

I hope this helps!

To solve the problem we must know about Percentage.

Percentage

A percentage is a way to describe a part of a whole. such as the fraction [tex]\bold{\dfrac{1}{4}}[/tex] can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Given to us

A sweater is marked down $25 to $19

Assumption

Let the x% be the remaining amount.

Remaining Amount

x% of $25 = $19

[tex]\dfrac{x}{100} \times \$25 = \$19\\\\\dfrac{x}{100} \times 25 = 19\\\\\dfrac{x}{4} = 19\\\\x = 19\times 4\\x = 76[/tex]

Thus, $19 is 76% of $25.

Percent of change

the percent of change =  Orignal percentage - final percentage

                                      =  100% - 76%

                                      =  24%

Hence, the percentage change is 24%.

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which expression is the same as 2(n+7)

Answers

A) 2n + 2(7)

distribute the 2 to both n and 7

They are being multiplied after distribution, so A is your best answer

hope this helps

Find the orthocenter of ABC

Answers

Answer:

(7,3)

Step-by-step explanation:

Product a is an 8 oz bottle of cough medication that sells for a $1.36 product B is a 16oz bottle of cough medication that costs $3.20 which product has the lower unit price

Answers

1.36 ÷ 8 = 0.17

3.20 ÷ 16 = 0.2

Product B has a lower unit price (dollar per ounce)

Show me one way to count from $82 to $512

Answers

Count by tens. It will help go by tens it always the answer
Maybe use a scenario to show how you spent $82 of the $512 you originally had. For example, during your trip to the mall, you spent $2 dollars for a panda keychain. Then, you spent $10 for a Spiderman comic book. On your way home, there was a sale on the shoes you have always wanted, so you bought a pair of shoes for $70. 

This scenario is useful because it can help you count 82 from 512 by breaking up the number. Doing so prevents you from over thinking the problem, etc.

Please help with this one

Answers

1. Convert to 0.04, and multiply by 365.

Since I don't want to give the answers, (Some of them I don't understand myself), follow this process for all of the others. For number 2, convert the first exponent equation, and then the second, and multiply both. For number 3, do the same, and then find the average of the product.

Hope this helps, sorry I couldn't be of more help than this.

Which word completely describes the rhombus?
A.equilateral
B.equiangular
C.regular

Answers

I say A. because all the sides are the same.
it is a equilateral because it has four congruent sides.

what percentage is equal to 2/5?

Answers

40%

Because, 2/5 equals 4/10. 10x10=100, so 4x10=40, so 40%.
The answer is:  "40%" .
___________________________________________________
Explanation:
___________________________________________________

2/5 = x/ 100 ; Solve for "x" ;

Looking at the denominators:

5*(what value) = 100 ?  ;   100÷ 5 = 20 ;

So "5*20 = 100" .

So; "2/5 = (2*20)/(5*20) = 40/100 = 40% .

→ Since:  40% = 40/100 = 4/10 = (4÷2)/(10÷2) = 2/5 .
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Alternate method:
____________________________________________
2/5 = 2÷5 = 0.4 .

0.4 = 4/10 = =(4*10)/(10*10) = 40/100 = 40% .
____________________________________________
Alternate method:
____________________________________________
Given:  "2/5" ;  We look at the denominator and notice it is "5" ; and we known that "5*2" = 10" ;

So, "2/5" = (2*2)/ (5*2) = 4/10 = (4*10)/(10*10) = 40/100 = 40% .
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Identify the corresponding word problem given the equation: x + 5 = 15 A) Billy is ten years older than his sister, Jenny. If Billy is 15 years old, how old is Jenny? B) Billy is five years older than his sister, Jenny. If Jenny is 15 years old, how old is Jenny? C) Billy is five years older than his sister, Jenny. If Billy is 15 years old, how old is Jenny? D) Billy is fifteen years older than his sister, Jenny. If Billy is 20 years old, how old is Jenny?

Answers

Its C 
Billy is 5 years older so if Jenny is x years old then x + 5 = 15.

Answer:

C) Billy is five years older than his sister, Jenny. If Billy is 15 years old, how old is Jenny?

Step-by-step explanation:

Set up the equation



The product of a number(variable) and 4 increased by 16 is -2

Answers

4x + 16= -2 

now I will solve it just for fun..

4x= -18

x= -4.5 

Jon has -8 dollars in his account then adds 12 dollars, how much does he have now?


What does zero represent in your story problem?

Answers

-8 in account
adds 12 dollars

-8 (+12) = 4

Jon now has 4 dollars in his account

i don't know how to explain the zero part well, but it is like the place where your bank have to be in order to not have debt

Which would most likely be graphed using a continuous graph? Check all that apply.
A. total cost, c, of buying b cans of beans
B. total cost, c, of buying g pounds of broccoli
C. speed of a car, s, as it accelerates over time, t
D. number of stamps, s, needed to mail p postcards
E. total distance, d, that has been driven over time, t
F. decrease in outside temperature, F, one evening over time, t

Answers

Answers are B, C, E, F, because the others vary in discrete amounts.

The example that would most likely be graphed using a continuous graph is B, C, E, and F.

What is Discrete and Continuous?

Discrete refers to something that cannot be divided into fractions or decimals. People are an example; you cannot have half a person. We commonly say that distinct items can be numbered.

Continuous is anything that can and must be divided into fractions and decimals. We can measure continuous circumstances, which are called to be measured. Height is an illustration of this.

Now in the given list of examples, the data that is continuous will have a continuous graph. Therefore, the data can be sorted as,

A. total cost, c, of buying b cans of beans

The given example is discrete because you can not buy a half can.

B. Total cost, c, of buying g pounds of broccoli

The given data is continuous because pounds of broccoli can be in decimal form.

C. Speed of a car, s, as it accelerates over time, t

The given data is continuous because the time period can be in decimal form.

D.The number of stamps, s, needed to mail p postcards.

The given example is discrete because you can mail a half postcard.

E. total distance, d, that has been driven over time, t.

The given data is continuous because the time period can be in decimal form.

F. decrease in outside temperature, F, one evening over time, t.

The given data is continuous because the temperature can be in decimal form.

Hence, the example that would most likely be graphed using a continuous graph is B, C, E, and F.

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(c) Mrs. Dewalt looked at another hotel. She waited a week before she decided to book nights at that hotel, and now the prices have increased. The original price was $1195. The price for the same room and same number of nights is now $2075. What is the percent increase? Round to the nearest whole percent. Explain and Show your work.

Answers

73.6402% Increase (74%)
Hope This Helps!
73.64 percent change( so it would be 74% change)
Hope it helped!

a slab or ribs at the butcher costs $4.55 per pound how much will it cost if you buy 3.5 pounds of ribs round to the nearest penny

Answers

15.93 because 4.55 times 3 and (4.55/2) so you'll end up with 15.93

The sun produces 3.8x10^27 joules of energy per second. How much energy is produced in a year? (Note: a year is approximately 31,000,000 seconds.) Put it in scientific form.

Answers

About 1.204972095x10^20 joules in a year

The total amount of energy produced by the sun in a year will be 11.78 × 10³⁴ joules.

What is the Scientific Notation?

Scientific Notation is a way of writing down in the easy form of very large or very small numbers.

The total amount of energy produced by the sun in a year can be calculated by multiplying the sun's energy production per second by the number of seconds in a year.

3.8 × 10²⁷ joules/second × 31,000,000 seconds/year

To express this in scientific notation, we can rewrite the number using powers of 10.

3.8 × 10²⁷ × 3.1  × 10⁷

11.78 × 10³⁴ joules

In this expression, the coefficient (11.78 ) is the number of units of energy produced, and the exponent (34) tells us the magnitude of the number. The exponent is based on the base of 10, so the number is 10 to the power of 34 or 1 followed by 34 zeros. This is a very large number and helps to give us a sense of the scale of energy production by the sun.

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There were 15 apples in a bowls.dan used some apples to make a pie. Now there are 7apple in the bowl. How many Apple did dan use?

Answers

The answer is 8 apples. Dan used 8 apples.
8 because to get 7 out of 15 apples, you have to subtract the number 15 by 7.

Three different hoses, each with its own pump, can be used to fill a swimming pool. If hose A is used by itself, the pool takes 6 h to fill. Is hose B is used by itself, the pool takes 3 h to fill. If hose C is used by itself, the pool takes 2 h to fill. If all three hoses are used at the same time, how long does the pool take to fill?

Answers

Minus 6 and 3, then minus it again with a 2. About 1 hour it will take to fill the pool. Hope this is the correct answer.
It will take the pool 1 hour to fill up.

Brennan took a total of 16 pages of notes during 8 hours of class. After attending 10 hours of class, how many total pages of notes will Brennan have in his notebook? Assume the relationship is directly proportional.

Answers

We use unitary method over here. To find out the number pages he writes in 1 hour we should;
16÷8 = 2.
So Brennan writes 2 pages in 1 hour.
Hence, in 10 hours he writes;
2 × 10 = 20.
∴ in ten hours Brennan writes 20 pages.

Find a counterexample. If two lines are parallel, then they do not intersect. A. If two lines do not intersect, they could be skew. B. If two lines are parallel, they may intersect twice. C. If two lines are parallel, they intersect once. D. The statement is true. There is no counterexample.

Answers

Answer:

The answer would be D.

Step-by-step explanation:

The statement is true. There is no counterexample. Parallel lines never intersect because they are parallel to each other. So, it is impossible for parallel lines to intersect. Hope that answers your question.

A counterexample is an example that is against or opposite the theory. They disapprove of the generalization. In math's counterexample is used to slightly abuse and refers to the example which shows the need to fully hypothesize a theorem.

Such as all prime numbers are odd numbers as number 2 is a prime number but is an even number hence contradictory. As parallel lines are always at the same distance apart and never intersect.

Hence the correct option is B. If two lines are parallel, they may intersect twice.  

Learn more about the find a counterexample.

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what is the multiplicative inverse of the the fraction 2/7

A. -7/2

B. 0

C. 1

D.7/2

Answers

Multiplicative inverse of fractionsmeans thatthe numerator will go to the place of the denominator and vice versa
Therefore,the multiplicative inverse of 2/7 is 7/2
Therefore the correct answer is D. 7/2

Answer:

D.}7/2

Step-by-step explanation:

I took the test on time4learning in 2022 and got it right hope I helped and more importantly I hope you passed byee!!

sec theta = 11/4, cot theta < 0

Answers

^62 this is right answer

Which function represents the graph of y=10(4)x ?



f

g

h

j

Answers

Answer:

Hence the  the function that represents the graph of the given function is:

g

step-by-step-explanation:

We are given graphs of four function.

f,g,h and j and we are asked to find which of the following given four graphs represents the graph of the function:

[tex]y=10\times 4^x[/tex]

Clearly when x=0 we see that the function gives the value.

[tex]y=10\times 4^0\\\\y=10\times 1\\\\y=10[/tex]

Hence when x=0 the graph of the function must pass through 10. i.e. the graph of the function passes through the point (0,10).

Hence the  the function that represents the graph of the given function is:

g

The weight of an elephant is 1000 times the weight of a cat if the elephant weighs 14,000 pound how many pounds does the cat weight

Answers

14 pounds for the cat

If the elephant weighs 14000 and you you divide that by 1000 you get 14 so the cat weighs 14 pounds.

Work: 14,000/1000=14

Timothy recorded the monthly change in his savings account balance, in dollars, for 8 months. Month January February March April May June July August Balance Change (dollars) −30 ​ −15 ​ 55 40 ​ −20 ​ ​ −45 ​ ​ −10 ​ 65 What is the average monthly change in Timothy's savings account balance? Enter your answer in the box.

Answers

To find the average, we'll sum up all the monthly changes and divide it by the number of months. Summing all the numbers, we get –30 + (–15) + 55 + 40 + (-20) + (-45) + (-10) + 65 = 40.
The number of months is 8. So dividing it by 8, we get
40/8 = 5

So the average monthly change in Timothy's savings account balance is $5. 

Answer:

5

Step-by-step explanation:

took the test

a football team lost 4yards on each of 2 plays,gained 14 yards on the thrid play and lost 5 yards on the fourth play.

Answers

I think the answer is -4(2)+14-5.

Jungkook walks 3 1/2 miles in 1 1/4 hours, what is the unit rate? I also want to know how do you find the unit rate?

Answers

Hi there!
Unit rates are basically changes expressed as a quantity of one. For example, if we have something like 100 feet per second or 2 meters per hour, those are unit rates. In this case, we have a multiple-unit rate - 3 1/2 miles in 1 1/4 hours. First off, we need to simplify both fractions to an improper fraction, giving us 7/2 miles and 5/4 hours. Now, we need to divide 7/2 by 5/4.
7/2 ÷ 5/4
Find the reciprocal of 5/4:
7/2 × 4/5
Multiply:
28/10 → 2.8
Therefore, Jungkook walks 2.8 miles in one hour, or 2.8 mi/hour. Hope this helped!

2.8 miles an hour

but legit the name ksksksksks-

There are 64 teams in a basketball tournament each team has 14 players. How many basketball players in all are in the tournament

Answers

896 players are in the tournament

When comparing answers on a group assignment, Jenny and Jeremy found that their answers did not match.

Part 1: Who do you believe has the correct solution for the group assignment—Jenny or Jeremy? In two or more complete sentences, explain, in mathematical terms, the reasoning behind your conjecture.

Part 2: Use long division to convert the fraction provided in each of the student's answers to a decimal number. Include all of your calculations in your final answer.

Part 3: Using complete sentences, compare your conjecture in Part 1 with your results in Part 2. Was your conjecture correct or incorrect?




Answers

Jenny has the correct solution for the group assignment. It is evident in her response because she uses the correct percentage of 41/100. Unlike Jeremy who uses 41/99. When using fractions or decimals the numerical range always extends to 100.

The decimal number would be 0.41.
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