(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

What is the product in simplest form −6/11⋅3/4

Answers

-6/11•3/4= -9/22 !!!!!

a population of bacteria is increasing at a rate of 7.5% per hour. if there were originally 275 bacteria, which of the following eguations models the population of bacteria h-hours after the original 275 bacteria were measured?

Answers

this is an exponential growth formula:

Total = start value x ( 1 + percent) ^ time

Population = 275(1.075)^h

how many solutions does  3x+9=25x+14 have?

Answers

Answer:

one solution

Step-by-step explanation:

3x + 9 = 25x + 14

-3x         -3x

9 = 22x + 14

-14         - 14

-5 = 22x

Oranges cost 85 cents each.
Leo has a $10 note.
Work out the maximum number of oranges he can buy

Answers

Answer:

11

Step-by-step explanation: 100 cents- $1

85 x 85 x 85 x 85 x 85 x 85 x 85 x 85 x 85 x 85 x 85 = 935

935 or 9.35 dollars

85 cents = 1.25

10 / 1.25

8

if 4 watches cost 76.800. Find the cost of 9 watches pls answer my question

Answers

Answer:

1 watch cost 19,200 (76800/4=19200)

9 watches cost 172,800 (9×19200=172800)

Step-by-step explanation:

Answer:

$172.8

Step-by-step explanation:

divide 76.800 by 4 to figure out how much each watch cost. Than once you got that answer multiply by 9 to find out the cost of 9 watches

76.800÷4= 19.2

19.2×9= 172.8

Question 8 of 10
What is the length of PR?

A. 9
B. 63
C. 11
D. 7

Answers

Answer:

b

Step-by-step explanation:

Answer:

C. 7

Step-by-step explanation:

got it right on the quiz.

Brainliest?

Write an inequality that represents the following. Employees receive a bonus
of $80 plus $15 per hour, h, for working on New Year's Eve. If an employee
earned no more than $205.

Answers

So Is This (80+15) or something

Find m<1. Please help quick!

Answers

Answer:

17°

Step-by-step explanation:

Look everything you have above the horizontal line.

It's a 73° angle, plus the one you need, plus 90°. They add up to 180.

m+73+90=180, or m=17.

The amount of sales of single scoop ice-cream cones during the summer s(c0 varies directly with the number of customers c. Ten customers bought a total of $44 worth of ice-cream cones. Which equation can be used to find the ice-cream sales for c customers?

Answers

Answer:

s(c)= 4.4c

Step-by-step explanation:

:) stay safe out there

Answers

Answer:

8

Step-by-step explanation:

Use a calculator to find log 0.0019. round answer to 2 decimal places

Answers

Answer:

Step-by-step explanation:

-2.72

The steps used to solve this are (for most calculators ) is

log

0.0019

=

If you do not own a scientific calculator, you can use the one that came from windows.

Unfortunately it is slightly different. Make sure you are in scientific mode. Type in 0.0019. Then click on log. Same answer just much longer.

The sizes of the angles in degrees of e triangles are.

2x+7
2x
X+18
Use this information to write down an equation in terms of x

Answers

(2x + 7) + (2x) + (x + 18) = 180

5x + 25 = 180

5x = 155

x = 31 °

Solve for the value of m

Answers

Answer:

m=37

Step-by-step explanation:

180-35=145

4m-3=145

4m=148

m=37

the answer is m=37.

Which graph shows the solution to the system of linear inequalities?

x – 4y < 4

y < x + 1

Answers

Answer:

Read image

Step-by-step explanation:

Desmos

A ceramic artist can shape a pot in 3 minutes. It takes 10 minutes to fire one batch of pots in the kiln. If there are p pots in a batch, which expression represents the time it takes to shape and fire one batch of pots? How long will it take the potter to form and fire

Answers

Answer:

Your mom

Step-by-step explanation:

I saw her yesterday

Jared uses two theorems together to make a conjecture about the sum of the interior angles of pentagons. What kind of reasoning is Jared using?

a)Deductive Reasoning
b)Inductive Reasoning

Answers

Answer:

a)Deductive

Step-by-step explanation:

When you apply rules (in this case theorems) it is a deductive reasoning

What is the slope of a line with the equation of 2.5x+5y=20

Answers

I’m hoping this helps but the slop will be 25. If I’m wrong then I’m sorry but I got taught a different way on how to do it

The required slope of the given line is 2.5x+5y=20 m = 1/2

Given that,
To determine the slope of the line 2.5x+5y=20.

What is the slope of the line?

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

here,
standard equation of the line,
y = mx + C
Transform the given equation into the equation of the line,
2.5x+5y=20
y = 1/2x + 8
When comparing the above equation with the standard equation of line,
m = 1/2

Thus, the required slope of the given line is 2.5x+5y=20 m = 1/2

Learn more about slopes here:
https://brainly.com/question/3605446

#SPJ5

Hey y’all pls help me , what’s the answer :))

Answers

4th one. its simple math bro

Answer:

r — 7.5 > -8

Step-by-step explanation:

r — 7.5 < —8 is r < - 0.5

—r — 7.5 > -8 is r < 0.5

—r — 7.5 > 8 is r < -15.5

r — 7.5 > -8 is r > -0.5

If you replace r with 17 the only that would be true is r — 7.5 > -8 cause 17 - 7.5 > -8 = 9.5 > -8 making the sentence true.


I need help with this ASAP It will give you 55 points!!!!!!!

Answers

F:(-2/3) = -1/3
-f * 3/2 = -1/3
-3/2f= -1/3
F= 2/9

Four friends are creating posters for their presentations, which will be delivered in different locations. Which person should create the largest posters

Answers

Answer:

Lindsey, who is delivering her speech in a large auditorium

Step-by-step explanation:

Jin, who is delivering her speech to a small group sitting around a table

Lindsey, who is delivering her speech in a large auditorium

Luke, who is delivering his speech in a typical classroom

Jordan, who is delivering his speech in a small meeting room

A bathtub is filling with water at a rate of 606060 liters per minute.
How many liters of water are in the bathtub after t minutes?

Answers

Answer:

606060t

Step-by-step explanation:

606060 liters x t minutes = 606060t

6×6√3 what is the area

Answers

Answer:

For which shape ?! You need to know the rule.

6 to the power of 2+ 15

Answers

Answer:

51

Step-by-step explanation:

Answer:

51

Step-by-step explanation:

Russel wants to buy 3 identical gift cards. He wants to make sure his total cost is no more than $2 above or below $60. Which of the following inequalities represents this situation?
A|3c − 60| ≤ 2
B|60 + 3c| ≤ 2
C |3c − 2| ≤ 60
D |3c + 2| ≤ 60

Answers

Step-by-step explanation:

very imprecise phrasing.

I assume this means the cost should not be more than $2 above, and not less than $2 below $60.

the bottom line is : the difference between the price of the 3 gift cards and the planned budget of $60 must not be more than $2 (no matter what's the sign of the difference - hence the usage of absolute values).

the only answer calculating that difference and comparing it to the $2 threshold is A.

remember, a difference is always calculated by a "-" operation.

so, B and D disqualify.

C compares the price of the 3 cards with $2 and compares that result with the limit of $60.

yes, that protects against too expensive cards.

but no, it does NOT protect against to cheap cards. e.g. if the cards (3c) cost only $30, that inequality would still be true (but should not).

so, A is the correct answer.

WILL MARK BRAINLIEST
Solve 39.2 ÷ 7 = ________.

5.2
5.3
5.5
5.6

Answers

Answer:

5.6

Step-by-step explanation:

Answer:

5.6

Step-by-step explanation:

I just take each answer and multiply it by 7 until the answer matches 39.2.

5.6 * 7 = 39.2

A ceramic artist can shape a pot in 3 minutes. It takes 10 minutes to fire one batch of pots in the kiln. If there are p pots in a batch, which expression represents the time it takes to shape and fire one batch of pots? How long will it take the potter to form and fire

Answers

Answer:

3p to shape and 10 minutes to fire

= 3p + 10

3x10 + 10 = 40 minutes for a batch of 10 pots

therefore D is the correct answer.

The expression is 3p + 10. It takes 40 minutes to shape and fire 10 pots. Therefore, option D is the correct answer.

What is an expression?

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

Given that, a ceramic artist can shape a pot in 3 minutes. It takes 10 minutes to fire one batch of pots in the kiln.

There are p pots in a batch.

3p to shape and 10 minutes to fire

So, the expression is 3p+10

To form and fire a batch of 10 pots:

Put p=10 in 3p+10, we get

3x10 + 10 = 40

Therefore, option D is the correct answer.

To learn more about an expression visit;

https://brainly.com/question/28170201.

#SPJ6

"Your question is incomplete, probably the complete question/missing part is:"

A ceramic artist can shape a pot in 3 minutes. It takes 10 minutes to fire one batch of pots in the kiln. If there are p pots in a batch, which expression represents the time it takes to shape and fire one batch of pots? How long will it take the potter to form and fire a batch of 10 pots? A.The expression is 3p. It takes 30 minutes to shape and fire 10 pots.

B.The expression is 3p − 10. It takes 20 minutes to shape and fire 10 pots.

C.The expression is 3(p + 10). It takes 60 minutes to shape and fire 10 pots.

D.The expression is 3p + 10. It takes 40 minutes to shape and fire 10 pots.

Which of the following number forms a pattern
(a) – 6 , - 3 , 0 , 3 (b) – 5 , - 3 , - 2 , 0 (c) 0 , 2 , 3 , 4 (d) 1 , 2 , 4 , 6

Answers

Answer:

the answer is A since it forms a pattern :>

40 POINTSSS PLEASE HELPP!!
2. Use the following statement to answer ALL three parts of the question.
Statement: If two lines do not intersect, then they are parallel.
(a) Write the inverse of the statement. Is the inverse true or false? Explain your reasoning.
(b) Write the converse of the statement. Is the converse true or false? Explain your reasoning.
(c) Write the contrapositive of the statement. Is the contrapositive true or false? Explain your reasoning.

Answers

a) The inverse of the statement is the opposite. The statement stated that if two lines do not intersect, they are parallel. So, the opposite would be if two lines intercept, they are parallel. This inverse statement is false because, that is not true. Parallel lines mean they never intercept, not if they intercept its parallel.

b) Converse means to engage or explain, I think…so, the converse of the statement would be that yes, it is true that when two lines do not intercept then they are parallel. Because parallel lines never cross or meet, meaning they will NEVER ever have a crossing point.

c) the contrapositive of the statement would be: if two lines do not cross then they are parallel. If they do intercept, then they are not parallel. As simple as that. I think contrapositive means that…I looked what contrapositive means…so I think I’m right.

I hope this helps!! Or some at least. :)

Good luck!

can u answer this plz thanks

Answers

Answer: 3/4 of 8 just means 3/4 x 8, which is 6 miles. Do the same with 3/5 x 10, which is also 6 miles. Therefore both of them walked the same distance. Please mark me brainliest!

What is the slope of the line that passes through the points (3, 6) and (1, 2)

Answers

Answer:

2

Step-by-step explanation:

[tex]\frac{(2-6)}{(1-3)}[/tex]=[tex]\frac{-4}{-2}[/tex]=2

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