(08.02 MC)

A pair of equations is shown below:

y = 2x − 1
y = 4x − 5

Part A: In your own words, explain how you can solve the pair of equations graphically. Write the slope and y-intercept for each equation that you will plot on the graph to solve the equations. (6 points)

Part B: What is the solution to the pair of equations? (4 points)

Answers

Answer 1

Answer:

part A

y = 2x -1

the slope is 2/1 means it will be up 2 right 1 or down 2 left 1 the slope is positive

the y-int is -1

y = 4x -5

the slope is 4/1 means it will be up 4 right 1 or down 4 left 1 the slope is positive

the y-int is -5

part B  

the solution to this is (2,3)

Step-by-step explanation:

Answer 2

Answer:

Part A:

y = 2x - 1

Slope = 2/1

Y intercept = -1

y = 4x -5

Slope = 4/1

Y intercept = -5

Part B:

x = 2    y = 3

Step-by-step explanation:

Part A: To solve the pair of equations graphically, we need to plot the 2 lines on a graph, and look at where they intercept. Then we draw a vertical line from the intersection to the x axis and we know what x is equal to. Laslty, we draw another line (horizontal) from the intersetcion to the y axis and we know what y is equal to.

Equation of a line: y = mx + c

where mx is the slope and c is the y intercept

y = 2x - 1

Slope = 2/1 -- 2 divided by 1 because it goes 2 squares up and 1 to the right

y intercept = -1

y = 4x - 5

Slope = 4/1

y intercept = -5

Part B:

Solving for x:

Since we know that y = 2x - 1 but also 4x - 5, then:

2x - 1 = 4x - 5

2x + 4 = 4x

4 = 2x

x = 2

Solving for y:

Since we know that x = 2, we just have to replace it in one of the two equations, let's say y = 2x - 1. This would give us:

y = 2 x 2 - 1

y = 4 - 1

y = 3


Related Questions

Jenny went to the store with $10 and returned home
with 5 gallons of milk and $1.30 in change. What was
the cost of each gallon of milk?

Answers

Answer:

The milk is priced at $1.74/gallon

Step-by-step explanation:

If Jenny started out with $10 and ended up with $1.30 in change, she must have spent $10 - $1.30, or $8.70.

                                                        $8.70

Then the unit price for the milk is ---------- = $1.74 per gallon

                                                         5 gal

(Pythagorean theorem) do the following lengths form a right triangle? (Show steps)

Answers

Answer:

yes

Step-by-step explanation:

Pythagorean theorem equation is a²+b²=c²

c is the longest side which is 5. a and b dont matter in this case

3²+4²=5²

9+ 16 = 25..........simply

25 = 25...............true, these numbers form a right triangle

-8 less than a number is no more than 12

Answers

Answer:

-8 < x ≤ 12

Step-by-step

-8 less than a number would give you

-8 <

a number no more than 12 would give you

x ≤ 12

giving x because we dont know what the number is-

so your full anser would be-

-8 < x ≤ 12

Kayla states the following about the graph of

y = (x + 5) (x - 5) (x + 3)

This equation is 2nd-degree so both arrows will be pointing
the same way.
The ends of the equation will both be pointing up since the
leading coefficient is positive.

Describe in words, in as many ways as you know how, how you
would tell this student whether they were right or wrong.

Answers

Answer:

x^1=-5, x^2=-3, x^3=5

Step-by-step explanation:

Which pair of functions are inverses of each other?

Answers

Answer: c ic the answer

c is the answer

Step-by-step explanation:

c is the answer

Does this represent a function?

Answers

Question:

Does this represent a function?

Explanation:

: Determine whether a relation represents a function.

:Find the value of a function.

: Determine whether a function is one to one.

:Use the vertical line test to identify functions.

:Graph the functions listed in the library functions.

Answer:

No

Complete the statement ANGLES (I WILL GIVE BRAINLIEST! PLS HELP!)

refer to attachment for question

Answers

Answer:

DEF

Step-by-step explanation:

If you turn it and line it up with C on D, B on E, and A on F, the similar line symbols match.

Here’s the full picture only 44, 45, 46, and 47

Answers

Answer:

m∠6 = 115; m∠5 = 115; m∠1 =  130; m∠4 = 65

Step-by-step explanation:

44.  m∠6 = 180 - 65 = 115

45. m∠5 = 180 - 65 =115

46. m∠1 = 180 - 50 = 130

47. m∠4 = 180 - (50+65) = 180 - 115 = 65

Answer:

the person below is correct

Step-by-step explanation:

hope it helped have an amazing night :)❤

Write the equation of the line in fully simplified slope-intercept form

Answers

Answer:

y=3x-1

Step-by-step explanation:

Use slope intercept form (y=mx+b) to plug in the values for m and b

f(x)=-x^2+9x+4f(x)=−x2+9x+4\text{Find }f(-8)Find f(−8)

Answers

Answer:

-74

Step-by-step explanation:

f(x) = -2x^2 +8x -10

Let x = -4

f(-4) = -2 ( -4)^2 +8(-4) -10

    = -2(16) -32-10

    = -32 -32-10

   = -74

Help me with this please!!

Answers

Answer:

A=2/6 B=5/6

Step-by-step explanation:

I really hope this helps! (i love math!)

7x+1/3=2 2/3
Help me please

Answers

7x + 1/3 = 2 2/3
7x = 7/3
x = 1/3
x is equal to 1/3
x= 1/3

help me help me help me

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The required expression is ~

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

[tex] \sqrt{2 \times 2 \times 2} [/tex]

[tex]2 \sqrt{2} [/tex]

[tex] {2}^{1} \times{ 2 }^{ \frac{1}{2} } [/tex]

[tex](2 ){}^{1 + \frac{1}{2} } [/tex]

[tex]2 {}^{ \frac{2 + 1}{2} } [/tex]

[tex] {2}^{ \frac{3}{2} } [/tex]

I hope it helps ~

PLEASE HELPPPPP

Use the information to answer questions 14 – 17.


Leah would like to earn at least $120 per month. She babysits for $5 per hour and works at an ice cream shop for $8 per hour. Leah cannot work more than a total of 20 hours per month. Let x represent the number of hours Leah babysits and let y represent the number of hours Leah works at the ice cream shop.


Which pair (x, y) represents hours that Leah could work to meet the given conditions? Select all that apply.


A.

(2.5, 15)


B.

(5, 20)


C.

(7.5, 12.5)


D.

(17.5, 5)


E.

(19, 1)

Answers

Answer:

x ≤ 13 2/5 and y ≥ 6 2/3

Step-by-step explanation:

system of equations would be:

x + y ≤ 20

5x + 8y ≥ 120

if you solve this system you get the answer above

Jane bought 8 packs of red bouncy balls, 4 packs of yellow bouncy balls, and 4 packs of green bouncy balls. There were 8 bouncy balls in each package. How many bouncy balls did Jane buy in all?

Answer for 87 points <3

Answers

Answer:

128

Step-by-step explanation:

8×8 = 64

8×4 = 32

8×4 = 32

64 + 32 + 32 = 128

Six children collect 45 pencils. 20% of the pencils need sharpening. How many pencils need
sharpening?

Answers

Answer:

9

Step-by-step explanation:

45*2/10=45*1/5=9

Answer:

9

Step-by-step explanation:

A chessboard has 8 rows of squares with 8 squares in each row . Two players each put 16 chess pieces on the board , with each piece on its own square. How many squares are empty now? Explain your answer.

Answers

Answer:

40

Step-by-step explanation:

8x8 if 56 - 16 = 40

What is the value of x in the triangle?

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The value of x is ~

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

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

The Triangle stated in the diagram is a right angled Triangle, so

[tex] \tan(30) = \dfrac{x}{15} [/tex]

[tex] \dfrac{1}{ \sqrt{3} } = \dfrac{x}{15} [/tex]

[tex]x = \dfrac{15}{ \sqrt{3} } [/tex]

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

HELP *picture inserted*

Answers


The answer is b……..

word problem 3/4 ÷3/8

Answers

[tex] \frac{3}{4} \div \frac{3}{8} = \\ [/tex]

[tex] \frac{3}{4} \times \frac{8}{3} = \\ [/tex]

[tex] \frac{8}{4} = \\ [/tex]

[tex]2[/tex]

Help please

What is 20000 x 0

Answers

Answer:

its 0

Step-by-step explanation:

Please help me ASAP I’m gonna fail this !!!

Answers

Answer:

90% sure it's the 4/5 x 4/5 answer. Might be wrong though.

7 is 75% of what number?

Answers

Answer:

9 1/3

Step-by-step explanation:

7 - 75%

x - 100%

[tex]\frac{7 * 100}{75} = 9\frac{1}{3}[/tex]

Answer:

7 is 75% of What Number? - 7 is 75% of 9.33. 100% of 9.33 is 9.33, therefore 75 percent of 9.33 equals 7.

Step-by-step explanation:

7 is 75% of What Number? - 7 is 75% of 9.33. 100% of 9.33 is 9.33, therefore 75 percent of 9.33 equals 7.

does the point (5 6) satisfy the equation y = 2x - 7

Answers

Answer: No

Step-by-step explanation: To determine this, all we have to is plug our ordered pair into the equation for x and y.

Remeber that the first number is our x-coordinate and our second

number is our y-coordinate so we plug a 5 in for x and a 6 in for y.

So we have (6) = 2(5) + 7 or 6 = 10 + 7 or 6 = 17.

Since this is not a true statement, this point doesn’t satisfy the equation.

the length of 2/3 a rope is (4u-5) inches Express the total length of the rope in terms of u

Answers

Answer:

6u - 15/2 inches

Step-by-step explanation:

(2/3)rope = 4u - 5

multiply both sides by 3/2

rope = 6u - 15/2

What are the steps for solving -3/10 + 4/10

Answers

Answer:

1/10

Step-by-step explanation:

-3/10+4/10=4/10-3/10

                =1/10

Pls help i only have 20 mins to complete

Answers

Plz post your question now....

Please help me with this homework

Answers

[tex]\text{Given that,}\\\\(x_1,y_1) = (-3,-1) ~ \text{and slope, m=2.}\\\\\\\text{Equation with two points,}\\\\y-y_1 = m(x-x_1)\\\\\implies y +1 = 2(x +3)\\\\\text{Hence the answer is B}[/tex]

Which equation represent this statement?

5 less than twice a number is 3

2n - 5 = 3

2n - 3 = 5

5 - 2n = 3

3 - 2n = 5

Answers

2n - 5 = 3
Twice a number is 2 * n
5 less is subtracting 5
Making the statement 2n - 5 = 3

Answer: It was 2n-5=3 The other guy was right

Step-by-step explanation: I took the K12 test.

Will give brainliest!

Answers

Answer:

D. 5/4

Step-by-step explanation:

Reciprocal is flipping that number around

Other Questions
whats 1+0 n3rje'hefruhhhhhhhhhhhhhhhhhhhhhhhhtrrrrrrrrrrrrr The impact of ww2 on the LGBTQ+ community 5. Mohan and Sohan have the same storybook. Mohan has read 2/5 of the book and Sohan has read 2/7 of the book. Who has read more pages? 6. Sonali and Priya are classmates Sonali completed her homework in a of an hour and Priya in of an hour 3/4 . Who was faster? okay, ive been given a new question KCNDJXNZNS The President can do which of the following without seeking the consent of either the House or the Senate?A. Ratify a treaty.B. Appoint ambassadors.C. Appoint district court judges.D. Deploy troops.E. Declare war. 2. What is the largest composite number less than 40? X-5/-2=x-1/-3 help pls Can someone please reading this and tell me if it sounds good so far, thanks! PLEASE ANSWER ASAP!!!!!!!!!!The Edict of Milan only guarantees tolerance of Christianity, not recognition by thestate. Why did Constantine and Licinius take this position? An operation is defined as p*q=-5q+p2 evaluate. 2*(7*3) Which of the following is not a voluntary activity. help me with this problem 23. Escribe el tipo de relacin en que se presentan los hechos en cada frase.A mediados del siglo IV, la debilidad de Grecia central coincidi con elfortalecimiento de Macedonia.Atenas organiz la Confederacin Ateniense (477a de C) y a partir de entoncesdomin el comercio maritimo en la regin.Alejandro, hijo de Filipo, tena veinte aos cuando se convirti en rey de MacedoneY prosigui la guerra que inici su padre derrotando a Dario II de PersiaPreguntan owoiwyw Ill give brainiest to, whom ever gets this correct. tornadoes form when updrafts from thunderstorms begin to _____First answer that is correct gets brainly State one advantage and disadvantage of friction Evaluate 62 - (12 2) when I = 3.-O A. 4O B. OO C. 3O D. 12Pls help guys ! How does Banneker try to convince Jefferson that slavery is wrong?:He appeals to Jefferson's sense of justice.He cites Martin Luther King Jr.He uses the word sir 50 points. Describe this imagedescribe this image to the best of your ability in a couple of sentences summarizing the following; how does it make you feel? what does the image contain? what is happening in the image?full answers only! incorrect answers will lead to you being flagged! Write an essay that compares and contrasts life in the dystopian society of the novel you read with our modern-day society.How can I begin this?