find equation of line a line that is parellel to the graph of 2x+3y=5 and contains the point (3,-1)

Answers

Answer 1

Answer:

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

Step-by-step explanation:

2x +3y= 5

3y= -2x +5

Divide both sides by 3:

[tex]y = - \frac{2}{3} x + \frac{5}{3} [/tex]

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

Now that the equation is in the slope-intercept form (y= mx +c), the slope of the given line is the coefficient of x.

[tex]slope = - \frac{2}{3} [/tex]

Parallel lines have the same slope.

Slope of unknown line= -⅔

y= -⅔ +c

To find the value of c, substitute a pair of coordinates into the equation.

When x= 3, y= -1,

[tex] - 1 = - \frac{2}{3} (3) + c[/tex]

-1= -2 +c

c= -1 +2

c= 1

Thus, the equation of the line is y= -⅔x +1.


Related Questions

Graph the linear function:
r(x)=2

Answers

i dont know

[tex] = 3 \sqrt[5]{3} [/tex]

Which of the expressions is equivalent to the expression 4(x+5)+3?

A. 4•x•4•5+3
B. 4•x+4•5+3
C. 4•x•3+4•5+3
D. 4+x+4+5+3
E. Other

Answers

It’s equation B I’m pretty sure

Use function notation to write the equation of the line

please asap

Answers

Answer:

The correct answer is the first option.

Step-by-step explanation:

The correct function notation is f ( x ) = x because the slope is 1, and the y-intercept is 0.  The y-intercept is the point on the graph where it crosses the y-axis.  

Therefore, the correct answer is the first option. Brainly isn't allowing me to post the equation for some reason.

translate to a mathematical equation:
Two times a number less than four is twenty-eight

Answers

2 x n = 28 - 4 :))) i pretty sure

Which is f(–3) for the quadratic function graphed?

–9
–3
0
9

Answers

Answer:

-9

Step-by-step explanation:

The answer is -9 since it is seeking for the point at x=-3.

100 points

Answer the following questions for the expression: -5x+3y-72+ 10 a) How many terms does the expression have? b) What is the constant of the expression? c) What is the third term in the expression? d) What is the coefficient of the second term?

Answers

A. This expression has 4 terms
B. The constants are -5, 3, 72 and 10
C. The third term is 72
D. The coefficient is y

IF YOU ANSWER CORRECTLY ILL GIVE BRAINLIEST!!

What number makes the following equation true? -3/4 × -3/8 × □= -3/4

A. -5/4
B. -8/3
C. 8/3
D. 5/4

Answers

Let the number be x

[tex]\\ \sf\longmapsto \dfrac{-3}{4}\times\dfrac{-3}{8}x=\dfrac{-3}{4}[/tex]

[tex]\\ \sf\longmapsto \dfrac{-3}{8}x=1[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{-8}{3}[/tex]

what is the percent of 3/8

Answers

Answer: 37.5%

Step-by-step explanation: To convert the fraction to decimal first convert to decimal and then multiply by 100. Therefore, the solution is 37.5%.

Answer:

37.5%

Step-by-step explanation:

Kenhitis tines
6. Selena picked eight baskets of tomatoes. Her sister threw away one of
the baskets due to bruising. What percent were good?

Answers

Answer:

87.5%

Step-by-step explanation:

Total baskets = 8Good baskets = 8 - 1 = 7

Percent of good:

7/8*100% = 87.5%

Total number of baskets of tomatoes = 8

Her sister threw away = 1

Number of baskets that are good = 8 - 1 = 7

Percentage of good baskets =

=> 7/8 × 100%

=> 87.5%

Therefore, The percentage of good baskets is 87.5%

Simplify by dividing.
use photo

Answers

Answer: -27/64

Step-by-step explanation:

flip to multiply by the reciprocal.

becomes:  (-3/8) · 9/8

a negative · a positive makes a negative.

multiply normally, add the negative sign after.

9 · 3 = 27

8 · 8 = 64

new fraction: 27/64 (cannot be simplified form here)

add negative sign.

final: -27/64

Charlie bought 89.64 pounds of fruit for a class party. The class ate 31 pounds of the fruit.
How much fruit is left?

Answers

Answer: 58.61 fruit left :)

A rare disease has been discovered that affects 2 out of every 10,000 trees in a forest, what percent of trees are affected? Plz show work if you can

Answers

0.02 percent of trees are affected

A number is four times as large as another number. The sum of the numbers is 180, Find the smaller number.

Answers

Answer:

z

Step-by-step explanation:

.

I need help pls I really need a answer

Answers

Answer:-16

Step-by-step explanation:

add all the temperature together =-112

then you divide by the number of temperatures given which is 7 which gives you -16

Answer:

-16 degrees C.

Step-by-step explanation:

When they say mean, they mean the average. You add the numbers together and divide them on how many numbers there are.

Use the given information to determine which lines, if any, are parallel. Justify each conclusion with a theorem or postulate.

1. angle 2 is supplementary to angle 3

2. Angle 1 is congruent to angle 3

3. Angle 6 is supplementary to angle 7

Angle 9 is congruent to angle 12

Answers

Three is correct the is supplementary to 7

can someone explain how to solve the angle A

Answers

I cannot explain but from various examples that I have seen I would say that Angle A is either 30°, 40°, or 45°

Can someone pls help me

Answers

Answer:

1, 4, 5, 6

Step-by-step explanation:

1 - Division is considered a fraction, subjected to fraction as division also. Since - 5/17 is basically considered -5/-17 (via 4), 1. is a choice.

4 - As explained, - 5/17 is -5/-17, so this is also a choice.

5,6 - Whether the negative symbol is in the numerator and/or denominator, it is officially thought overall to be - 5/17.

Consider the following two loans for P=$5,000. Loan A: 2.5 year loan, annual interest rate of 12%. Loan B: 5 year loan, annual interest rate of 6%. Both loans are paid monthly, and their interest is compounded monthly. Calculate the absolute difference between the total interest paid on both loans. Round your answer to the nearest cent.

Answers

53.5 dollars is the total interest paid on both loans.

What is Compound Interest ?

Compound interest is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on principal plus interest.

Loan A :

CI = P(1 + R/100)∧(T) - P

CI = 5000(1 + 12/100)∧(5/2) - 5000

CI = 1637.66

Loan B :

CI = P(1 + R/100)∧(T) - P

CI = 5000(1 + 6/100)∧(5) - 5000

CI = 1691.13

difference between two CI

= 1691.13 - 1637.66

= 53.47

= 53.5 dollars

Read more about Compound Interest at:

https://brainly.com/question/13001287

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An employee put $4,000.00 in a retirement account that offers 6.2% interest compound annually. The employee makes no additional deposits or withdrawls. Which amount is closest to the interest the employee will have earned at the end of 10 years?​

Answers

Answer:

567,90-

Step-by-step explanation:

67+38$gus (*56+070)86*(0-568)(&657890

10 - 2(3p - 6)
How do I evaluate this?

Answers

Answer:

−6+22

Step-by-step explanation:

1. Distribute

10−2(3−6)

10−6+12

2. Add the numbers

10- 6+12

22-6

3. Rearrange Terms

22+6

-6+22

On Monday, your bank account balance was -$12.79. Because you didn't realize this, you wrote a check for
$30.56 for groceries.

Answers

Answer: New balance would be - $43.35

Explanation: -12.79 - 30.56 = -43.35

Which one ? Please help.

Answers

Answer:

B C D  are correct.

Step-by-step explanation:

a+b-c=r/t

So,

a=(t/r)-b+c therefore wrong

b=(r/t)-a+c therefore correct

c= (-r/t)+a+b therefore correct

d=t(a+b-c)

Anybody a expert or really good at social studies cuz I really need that help answer ASAP

Answers

bbc because its super big like super big

Step-by-step explanation:

HELP ME OUT PLEASE

The following table shows the amount of money his friend Car earns for different numbers of hours worked. ​

Answers

Do 45 divided by 3 and you will get the answer.

What the hell is a lower quartile and a tangent please help

Answers

Answer:

A lower quartile is the value under which 25% of data points are found when they are arranged in increasing order. A tangent is a straight line or plane that touches a curve or curved surface at a point, but if extended does not cross it at that point.

Step-by-step explanation:

Which leg is adjacent to 0? ​

Answers

ED is the adjacent leg to 0.

Ahmed bought 5 equally priced markers for $3.25.

How much will 12 of these markers cost?


$1.35

$6.68

$7.80

$8.46

Answers

Answer:

$7.80

Step-by-step explanation:

Find the unit price by dividing 3.25 by 5.

3.25 ÷ 5 = 0.65

Now that you have the unit price, multiply it by 12 to find the total price of the 12 markers.

0.65 × 12 = 7.80

Thus, 12 of the same markers that Ahmed bought will cost $7.80.

The cost of 12 markers is given by the equation A = $ 7.80

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

Let the number of markers be n = 5

The cost of 5 markers = $ 3.25

So , the cost of 1 marker = cost of 5 markers / 5

On simplifying the equation , we get

The cost of 1 marker = 3.25 / 5

The cost of 1 marker = $ 0.65

Now , the cost of 12 markers = 12 x cost of 1 marker

Substituting the values in the equation , we get

The cost of 12 markers A = 12 x $ 0.65

The cost of 12 markers A = $ 7.80

Hence , the equation is A = $ 7.80 , where A is the total cost of markers

To learn more about equations click :

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Is your answer to problem 1a greater than, less than or equal to the answer in
the Example? Why?

Answers

Answer:

You forgot to put the picture please redo and ill edit my answer

Step-by-step explanation:

-1+3[(10-12)/(-16) ]

Answers

-5/8 is the answer

-1 + 3(-2/-16)
-1 + 3(1/8)
-1 + 3/8
-8/8 + 3/8
-5/8

There are 40 runners in a race. How many ways can the runners finish​ first, second, and​ third?

Answers

Answer:

117600

Step-by-step explanation:

50 x 49 x 48 = 117,600 ways

You have 50 possible for 1st, 49 for 2nd, 48 for 3rd

or

Permutations 50P3 = 117,600

There are total 59280 ways that can the runners finish first, second and third in a race.

What is permutation?

A permutation is a mathematical technique that determines the number of possible arrangements in a set when the order of the arrangements matters.

Formula for permutation

[tex]nP_{r} =\frac{n!}{(n-r)!}[/tex]

Where,

[tex]nP_{r}[/tex] is permutation.

n is total number of objects.

r is number of objects selected.

According to the given question

Total number of runners, n = 40

Total number of runners to be selected for first, second and third position  is 3 i.e. r = 3

Therefore,

The number of ways can the runners finish the first, second and third is given by

[tex]40P_{3} = \frac{40!}{((40-3)!} =(40)(39)(38)=59280[/tex]

Hence, there are total 59280 ways that can the runners finish first, second and third in a race.

Learn more about Permutation here:

https://brainly.com/question/2295036

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