Find the equation of the line.
A line that is parallel to the graph of 2x+3y=5 and contains the point (3,1)

Answers

Answer 1

Answer:

2x + 3y = 6

Step-by-step explanation:

The equation of a line in slope- intercept fprm is

y = mx + c ( m is the slope and c the y- intercept )

Given

2x + 3y = 5 ( subtract 2x from both sides )

3y = - 2x + 5 ( divide terms by 3 )

y = - [tex]\frac{2}{3}[/tex] x + [tex]\frac{5}{3}[/tex] ← in slope- intercept form

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

Parallel lines have equal slopes, then

y = - [tex]\frac{2}{3}[/tex] x + c ← is the partial equation

To find c substitute (3, 1 ) into the partial equation

1 = - 2 + c ⇒ c = 1 + 2 = 3

y = - [tex]\frac{2}{3}[/tex] x + 3 ( multiply through by 3 to clear the fraction )

3y = - 2x + 6 ( add 2x to both sides )

2x + 3y = 6 ← equation of parallel line


Related Questions

3x+10=43 what is x to the what are the steps to equal X to the math equation

Answers

Answer:

x = 11

Step-by-step explanation:

When solving for x, you want to get the variable by itself on one side of the equation. The first step is to subtract 10 from both sides. 43-10=33. So, it should look like:

3x = 33

Divide both sides of the equation by 3 to get x alone. 33/3 equals 11. So x =11. Hope this helped and lmk if you have more questions!!

A worker has job offers from two companies. The information below summarizes the job offer from each company.Company A:Starting salary of $31,000Raise of $3000 each yearCompany B:Starting salary of $38,000Raise of $2000 each yearPart A: Write an equation in terms of n years that can be used to determine the number of years when the salaries would be the same for both companies.Part B: Use the equation you wrote in part A to determine the number of years it would take for the salaries to be the same for both companies. Use mathematics to support your answer.

Answers

Using linear functions, we have that:

A.

For Company A: [tex]S_A(n) = 31000 + 3000n[/tex]

For Company B: [tex]S_B(n) = 38000 + 2000n[/tex]

B. The salaries will be the same after 7 years.

A linear function is given by:

[tex]y = mx + b[/tex]

In which:

m is the slope, which is the rate of change.b is the y-intercept, which is the initial value.

Item a:

For Company A, the salary starts at $31,000, with a raise of $3,000 each year. Thus, [tex]b = 31000, m = 3000[/tex], and the salary after n years is given by:

[tex]S_A(n) = 31000 + 3000n[/tex]

For Company B, the salary starts at $38,000, with a raise of $2,000 each year. Thus, [tex]b = 38000, m = 2000[/tex], and the salary after n years is given by:

[tex]S_B(n) = 38000 + 2000n[/tex]

Item b:

They will be the same after n years, for which:

[tex]S_A(n) = S_B(n)[/tex]

Then

[tex]31000 + 3000n = 38000 + 2000n[/tex]

[tex]1000n = 7000[/tex]

[tex]n = \frac{7000}{1000}[/tex]

[tex]n = 7[/tex]

The salaries will be the same after 7 years.

A similar problem is given at https://brainly.com/question/24282972

*25 points* an someone pls tell me how many solutions this equation have

Answers

Answer:

infinite number of solutions

Step-by-step explanation:

4(z - 5) + 2 = 4z - 18 ← distribute and simplify left side

4z - 20 + 2 = 4z - 18

4z - 18 = 4z - 18 , which reduces to

0 = 0 ← a true statement

This indicates the equation has an infinite number of solutions

Joseph jogged at a rate of 5 miles per hour for 30 minutes. How many miles did he jog

Answers

Answer:

150 Miles

Step-by-step explanation:

30 * 5miles = 150

A total of 176 valves were used for 8 cars as
they were being assembled. The same number
of valves were used for each car. How many
valves were used for each car?

Answers

ANSWER:

22

EXPLANATION:

BECAUSE IF YOU DIVIDE 176 TO 8 THE ANSWER WILL BE 22.

176÷8=22

HOPE IT HELPS YOU

Determine whether the ordered pair is a solution of the linear equation y = -3/2x + 8 (2/37)

Answers

Answer:

No it is not a solution of the linear equation

Step-by-step explanation:

it is not a solution because

37= -3/2(2)+8

37= -3+8

37=5

You use a garden hose to fill a wading pool. If the water level rises 13 centimeters every 5 minutes and you record the data point of ​(10​,y), what is the value of​ y? Use slope to justify your answer.

Answers

The slope to justify your answer is the value of y

Sam works for 6 hours at $10.25 per hour. how much does she earn?

Answers

Answer:

$61.50

Step-by-step explanation:

1h=$10.25

6h=$10.25×6

=$61.50

Answer:

$61.5

Step-by-step explanation:

6t*10.25

= 61.5

The pressure on a diver in the water varies directly as the depth. If the pressure is 3.6 Ib/in^2 when the depth is 8ft, what is the pressure when the depth is 30ft.

I give Brainliest! Please show your work

Answers

Answer:

13.5 lb/in^2

Step-by-step explanation:

8ft = 3.6 lb

30ft= ?

8ft÷30ft = 3.75

this means 8ft goes into 30ft 3.75 times

3.6lb× 3.75=13.5lb/in^2

you times the pressure of 8ft by 3.75 to find how much pressure there is at 30ft

2x7=9
Can anybody help me with this??

Answers

Answer:

2 times 7 is 14

2,4,6,8,10,12,14

Step-by-step explanation:

hope this helps

Expand and simplify:
(x - 3)(x - 1)

Answers

FOIL
(x*x) (x*1) (-3*-1) (-3*x)
x^2 + x + 3 -3x

Answer: x^2-2x+3

Which organism has an exoskeleton
crab
tree
deer
elephant
PLS HURRY!!!!

Answers

a crab has a exoskeleton

crabs have exoskeletons instead of endoskeletons

(50 POINTS^^ JUST NEED HELP ^^)
Which statement correctly describes the relationship between the graph of f(x)=x and the graph of g(x)=f(x)+5 ?

A)The graph of g(x) is the graph of​​​ f(x) translated 5 units up.
B) The graph of g(x) is the graph of f(x) translated 5 units right.
C) The graph of g(x) is the graph of​​ f(x)​ vertically compressed by a factor of 5.
D) The graph of g(x) is the graph of​ f(x)​ vertically stretched by a factor of 5.

2. The graph of function ​g(x)​ is a vertical stretch of the graph of function f(x)=x ​​by a factor of 6.
Which equation describes function ​g(x)​?

A) g(x)=6f(x)
​​B) g(x)=f(x)−6
C) ​g(x)=16f(x)
D) ​​g(x)=f(x)+6

Answers

1: A; the graph of g(x) is the graph of f(x) translated 5 units up

2: A; g(x)=6f(x)

Hope this helps :)

State if the three numbers can be the measures of the sides of a triangle
8, 9, 14
A) No
B) Yes

Answers

Answer:

No

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

PLEASEEEE HELPPPPPPPPPP

Answers

Answer:

-1/2, +1/4, -1/8, +1/16, -1/32, +1/64

Step-by-step explanation:

multiplying a negative by a negative makes it a positive. Multiplying a positive by a negative makes it a negative. The order will be negative, positive, negative, positive, negative, positive, etc.

Hope this helps!

Answer the answer is the third one

After 3 years, a $1,500 investment is worth $1,680. What is the interest rate on the investment?
A. 0.04 percent
B. 2.0 percent
C. 4.0 percent
D. 37.3 percent

Answers

Answer:

the answer is C.

Step-by-step explanation:

your welcome..

Answer:

youre answer would be 4 so that would be C

OMGGGGGGG PLSSS HELP ME WITH THIS QUESTION, IM SUPER STUCK PLS PLS PLS ITS DUE VERY SOON!!!! EXPLAIN PLSSS, WILL MARK THE BEST ANSWER BRAINEST

Answers

It’s H. You have to set up an equation: y=10x-11. -11 is the starting value, so you put it at the end. You add ten each time, so you put 10x. Just plug in 100 for x, and you’ll get 989

13pts brainly please help

Answers

Answer:

p(- 3) = - 79

Step-by-step explanation:

Substitute x = - 3 into p(x) , that is

p(- 3) = 4(- 3)³ + 2(- 3)² - 3(- 3) + 2

        = 4(- 27) + 2(9) + 9 + 2

       = - 108 + 18 + 11

      = - 108 + 29

     = -  79

there are 25 students in class 2-11 and 20% wear glasses. How many wear glasses?

Answers

Answer:

Five students wear glasses.

Step-by-step explanation:

20 percent of 25 is 5

We are given that 25 students in the class and 20% wear glasses.

Take 20% of 25 to calculate how many students wear glasses.

[tex]25 \times 20 \%=25 \times 0.20[/tex]

[tex]= 5[/tex]

5 students in class 2-11 wear glasses. Let me know if you have any questions, thanks!

Write y=3/5 x+4 in standard form using intergers

Answers

Answer:

3x - 5y = -20

Step-by-step explanation:

It started snowing at fourteen minutes to eleven in the morning. The snow stopped falling at five to midnight. How long did it snow?

Answers

Answer:

13 hours and 9 minutes

Step-by-step explanation:

Answer:

If I'm correct it should be 13 hr with an additional 9 min.

Step-by-step explanation:

Find the difference between (4, -2) and (-2, 3) THE ANSWER IS 7.8 BUT PLEASE EXPLAIN HOW YOU GOT IT!

HELP ASAP (I'll mark brainliest if you answer within the next 5 mins!!)

Answers

Answer:

√61

Step-by-step explanation:

(4,-2) - (-2,3) = (6,-5)

6^2 + (-5)^2  = 61

square root both sides to get 7.8

Any math experts please factor this thank you have a blessed day

Answers

56 + x - x^2
-x^2 + x + 56 Rewrite
x^2 - x - 56 Multiple whole equation by -1 to get positive x^2
(x-8)(x+7) Factor(-8 times 7=56, -8+7=-1)
x=8 x=-7 Put it equal to 0

The equation of line j is y =-5/8x+4/9. Line k is parallel to line j. What is the slope of line k?

Answers

Answer:

using the formula

y= mx+ c

comparing these;

m= -5/8

when two lines are parallel they are always equal

so the slope of line k= -5/8

Step-by-step explanation:

PLS MARK BRAINLIEST

. A straight line passes through the point (-1,2) and its distance from the origin is
one unit. Find its equation.

Answers

Answer:

y = -1/2x + 3/2

Step-by-step explanation:

(2-0)/(-1-0) = -1/2

2 = -1/2(-1) + b

2 = 1/2 + b

b = 3/2

Answer: y = -1

Step-by-step explanation:

Assuming "distance from the origin is one unit" means distance on the x axis, a vertical straight line having an x-intercept of -1 would satisfy thede requirements.  y = -1 isn't much of an equation, but it goes through (-1,2) and is 1 unit (-1) from the origin.

a bag contains 13 triangles. I chose one at random. what is the probability that the sum of the angles measures of the one i chose to 180degrees

Answers

The probability 100% because the angles of a triangle always add up to 180°.

Actividades de Desarrollo Actividad 1. En el siguiente ejercicio identificarás los elementos de los términos algebraicos (signo, coeficiente, literal y exponente) en los espacios correspondientes. Considera que, si no existe un signo explícitamente, lo deberás indicar como positivo (+), de igual forma, de no ser visible un exponente, su valor será de uno. a) -21x3w? Signo: - Coeficiente: 21 Literales: X, W Exponentes: 3.7 b)-755 Signo: Coeficiente: Literales: Exponentes: Literales: c) 8a2b5 Coeficiente: Exponentes: Signo: Literales: Exponentes: Coeficiente: Signo: Literales: Exponentes: Coeficiente:_ Signo: Literales: Exponentes: Coeficiente: Signo: d) m11 e) xyws ni ayb e) xyws e) xyws Literales: Exponentes: Coeficiente: Signo: Signo: Exponentes: Literales: 28 Coeficiente: ACADEMIA NACIONAL DE MATEMATICAS DGETI

Answers

Una expresión algebraica consta de una variable, coeficiente, exponente y signos.

Una variable es cualquier término desconocido y representado por el alfabeto inglés, como a, b, c, etc.

Un coeficiente es un número que se multiplica por la variable, como 2, 17, 39, etc.

Un exponente da la potencia del término que indica cuántas veces se repite.

a) -21x³w⁷

Firmar: -

Coeficiente: 21

Literales: X, W

Exponentes: 3.7

b) -755

Signo: negativo -

Coeficiente: 755

Literales: nulo

Exponentes: 1

 

c) 8a²b⁵

Signo: Positivo +

Coeficiente: 8

Literales: a, b

Exponentes: 2,5

d) m11

Signo: Positivo +

Coeficiente: 11

Literales: m

Exponentes: 1

e) xyws

Signo: positivo

Coeficiente: 1

Literales: x, y, w, s

English

An algebraic expression consists of a variable , co efficient, exponent and signs.

A  variable is any term that is unknown and represented by the English alphabet such as a, b,c and so on.

A co efficient is a number that is multiplied by the variable such as 2, 17 ,39 etc.

An exponent gives the power of the term indicating how many times it is repeated.

a) -21x³w⁷

Sign: -

Coefficient: 21

Literals: X, W

Exponents: 3.7

b) -755

Sign: negative -

Coefficient: 755

Literals:  nil

Exponents:  1

c) 8a²b⁵

Sign: Positive +

Coefficient: 8

Literals:  a,b

Exponents: 2,5

: d) m11

Sign: Positive+

Coefficient:  11

Literals: m

Exponents: 1

e) xyws

Sign: Positive

Coefficient: 1

Literals: x,y,w,s

https://brainly.com/question/19864285

https://brainly.com/question/24615967

Simplify the expression.

options:

33

38

34

39

Answers

Step-by-step explanation:

the answer is

[tex] {3}^ {9} [/tex]

the explanation is that {3^3}^4 = 3^12

and 3^12 x 3^2 / 3^ 5 = 3^9

Evaluate (4/25) 1/2

A 4/5

B 4/25

C2/5

D2/25

Answers

(4/25) 1/2 = 4/50 = 2/25

D. 2/25

2/25

Step-by-step explanation:

[tex]\begin{aligned}\tt\left(\frac{4}{25}\right)\cdot\frac{1}{2}&=\tt\frac{4}{50}\to(\div~2)\\&=\tt\frac{2}{25}\end{aligned}[/tex]

Help I’ll mark as brainliest pls!!!!!

Answers

Answer:

B: Distributive property

Step-by-step explanation:

It is distributive because Robert distributed 3 to x and 2 to make the equation 3x+6=21.

distributive property
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