100 points! asap! Which graph best represents the solution to the system of equations shown below?

y = -2x + 14
y = 2x + 2

A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on the ordered pair 3, 8.
A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on ordered pair 8, 3.
A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on ordered pair negative 8, negative 3.
A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on ordered pair negative 3, 8.

Answers

Answer 1

Answer:

A)  A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on the ordered pair (3, 8)

Step-by-step explanation:

Given equations:

[tex]\textsf{Equation 1}: \quad y=-2x+14[/tex]

[tex]\textsf{Equation 2}: \quad y=2x+2[/tex]

Substitute Equation 2 into Equation 1 and solve for [tex]x[/tex]:

[tex]\implies 2x+2=-2x+14[/tex]

[tex]\implies 4x=12[/tex]

[tex]\implies x=3[/tex]

Substitute found value of [tex]x[/tex] into Equation 2 and solve for [tex]y[/tex]:

[tex]\implies y=2(3)+2=8[/tex]

Therefore, the solution to the system is (3, 8).  

This is the point of intersection of the two lines.


Related Questions

2x+3y=8 find the solution using addition elimination method

Answers

Answer:

X equals 1, and Y equals 2

First, find the value of 2x, we have to assign one to make the problem work.

[tex]2x = 2 * 1[/tex]

Now, find y.

[tex]3y = 3 * 2[/tex]

Find the results of the multiplication. Remember that anything times 1 is always the same number, the base number.

[tex]2 * 1 = 2[/tex]

[tex]3 * 2 = 6[/tex]

Now, add.

[tex]6 + 2 = 8[/tex]

________________________________________________________

Now, we go over what we learned.

________________________________________________________

What have we learned?

We learned how to make inequalities true by assigning values to substitutions.

Questions related to this topic? Ask me in the comments box.

State six ordered pairs for this function
f(x)=.5x+3

Answers

(0,3) - The y-int, after you can just add 5 to the y-coord for each added 1 to the x-coord.

(1,8)

(2,13)

(3,18)

(4,23)

(5,28)

Find the area

(Please)

Give explanation

Answers

Answer:

960 cm²

Step-by-step explanation:

Area of trapezoid: (a + b)(h)/2

A = (20 + 40)(32)/2

A = 60(32)/2

A = 1920/2

A = 960 cm²

BRANLIEST please if this helps!

What is the limit on the number of members in a limited liability company? There is no limit to the number of members in a limited liability company.

Answers

Hmm that is a weird question is it already ans

Help Me with this please

Answers

Answer:

B) Δ+5

Step-by-step explanation:

Means that Austin has $5 more than Mark

Hope this helps

Just answer

1 + 23 =
i give you 100 pts
I quit

Answers

hmm a tough one ima go with 24

I think 24. Not rlly sure tho

A new computer repair company offers house calls to their customers. They use the function f(h) = 45h + 80 to calculate the total repair bill, f(h), for h number of hours worked. A. What does 45 represent in the function? < B. What does 80 represent in the function? > C. Find h if f(h) = 215. What does this value of h mean in the context of the problem? <​

Answers

The function f(h) = 45h + 80  of the computer repair is a linear function

45 represents the hourly rate80 represents the base costThe value of h means 3 hours

What 45 and 80 represents?

A linear function is represented as:

f(h) = mh + c

Where:

m represents the rate; m = 45b represents the base cost or y-intercept; y = 80

By comparison;

45 represents the hourly rate and 80 represents the base cost

How to calculate h?

We have:

f(h) = 45h + 80  

When f(h) = 215, the function becomes

45h + 80 = 215

Subtract 80 from both sides

45h = 135

Divide both sides by 45

h = 3

Hence, the value of h means 3 hours

Read more about linear functions at:

https://brainly.com/question/15602982

Write the standard equation of the circle with the center ​(-14​,-5​) that passes through the point ​(​-7,​5).

Answers

equation: (x + 14)² + (y + 5)² = 149

Given:

centre :  ​(-14​,-5​)point ​(​-7,​5)

=============

Formula's:

(x-h)² + (y-k)² = r²centre : (h, k)radius : rdistance between points : [tex]\sf \sqrt{(x2-x1)^2 + (y2-y1)^2}[/tex]

Find the radius:

[tex]\rightarrow \sf \sqrt{(-7-(-14))^2 + (5-(-5))^2}[/tex]

[tex]\sf \rightarrow \sqrt{\left(-7+14\right)^2+\left(5+5\right)^2}[/tex]

[tex]\sf \rightarrow \sqrt{149}[/tex]

Equation of circle:

(x-h)² + (y-k)² = r²(x-(-14))² + (y-(-5))² = (√149)²(x + 14)² + (y + 5)² = 149

Graph for clarification:

Answer:

[tex]\sf (x+14)^2+(y+5)^2=149[/tex]

Step-by-step explanation:

Standard equation of a circle:  [tex]\sf (x-a)^2+(y-b)^2=r^2[/tex]

(where (a, b) is the center and r is the radius of the circle)

Substitute the given center (-14, -5) into the equation:

[tex]\sf \implies (x-(-14))^2+(y-(-5))^2=r^2[/tex]

[tex]\sf \implies (x+14)^2+(y+5)^2=r^2[/tex]

Now substitute the point (-7, 5) into the equation to find r²:

[tex]\sf \implies ((-7)+14)^2+(5+5)^2=r^2[/tex]

[tex]\sf \implies (7)^2+(10)^2=r^2[/tex]

[tex]\sf \implies 149=r^2[/tex]

Final equation:

[tex]\sf (x+14)^2+(y+5)^2=149[/tex]

can someone help me with this please

Answers

Answer:

perspective

I hope this helps you

:)

What is the equivalent expression for 24x - 40y ?

Answers

Answer:

See answer and step-by-step attachment.

Step-by-step explanation:

See attachment.

40 points for this question!!!

Answers

Answer:

Never

Step-by-step explanation:

It should be never since as the value of x increases, so does y.

If the y value increases as x increases, the function is said to be increasing.

If the y value decreases as x increases, the function is said to be decreasing.

I NEED HALP PWEASE AND PWEASE DONT IGNORE ME EVERONE DOES THAT WHEN I PUT A QUESTION UP IM GIVING BRAINLYS OUT

Answers

Answer:

The order goes:

B

A

D

C

Step-by-step explanation:

Based on the clues joe has the least so he would be B

Terrell has the most so his would be A

Jimmy has half so he would be D

and Justin is C last option

Answer:

Clue 1:  1,4 = B

Clue 2: 1,6 = A

Clue 3: 2,4 = C

Clue 4 : 4,5 = D

Scott has 2 six-sided dice. What is the probability that the sum of the roll is one?

Answers

Answer: 0, it’s not possible to roll 2 dice with the sum ending up being one.

A sector of a circle has a central angle of 45 ∘ . Find the area of the sector if the radius of the circle is 18 cm. cm2

Answers

Answer:

1,090

Step-by-step explanation:

At what interest rate must $112,000 be invested so that it will be worth $392,000 in 14 years?

Answers

Answer:

25%

Step-by-step explanation:

Simple interest= PRT/100

392,000=112,000*R*14/100

392,000=1120*14*R

392,000=15,680R

R= 392,000/15,680

R= 25%

The equation x2 + 4y2 = 36 represents which conic section?

ellipse

circle

hyperbola

parabola

Answers

Answer: The answer is ellipse

The following bond was quoted in The Wall Street Journal:
Bonds
NJ 4.125% 35
Current yield Volume
2.3%
5
Close
109.875%
Net change
+1.125%
Four bonds were purchased yesterday, and 4 bonds were purchased today. How much more did the 4 bonds cost today? (Do not
round intermediate calculations. Round your answer to the nearest cent.)
Increased cost

Answers

Answer:

$100 answers your question

Jacob wants to determine the principal amount still owed on his mortgage loan. He knows that the interest portion of his last monthly payment was $391.42. If he is paying interest at the rate of 11½%, what was the outstanding balance of the loan before that last payment was made?

Answers

If the interest rate is 11½%. The outstanding balance of the loan before that last payment was made is:$40,843.83.

Loan Oustanding balance

First step is to find the annual interest

Annual interest= $391.42 x 12

Annual interest= $4,697.04

Second step is to calculate the outstanding balance

Outstanding balance=Annual interest/Interest rate

Oustanding balance= $4,697.04/ 11½%,

Outstanding balance =$40,843.826

Outsatnding balance= $40,843.83 (Approximately)

Therefore the outstanding balance of the loan before that last payment was made is:$40,843.83.

Learn more about loan outstanding balance here:https://brainly.com/question/2279877

If the labor force is 740 workers, but 27
are unemployed, what is the
unemployment percentage?
A. .36%
B. 3.6%
C. 36%
D. 360%

Answers

Answer:

3.6% or B quack quack quack quack

The unemployment percentage is 3.6 percent. Therefore, option B is the correct answer.

What is percentage?

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, the labor force is 740 workers, but 27 are unemployed.

Here, percentage = 27/740 ×100

= 2700/740

= 3.6%

Therefore, option B is the correct answer.

To learn more about the percentage visit:

brainly.com/question/24159063.

#SPJ2

SOLVE THE EQUATION AND EXPLAIN YOUR ANSWER

Answers

Answer:

$38.1 billion

Step-by-step explanation:

S - 1.5x = 5.1

x = 2020 - 1998

x = 22 years

S - 1.5(22) = 5.1

S = 5.1 + 33

S = 38.1

I hope this helps!

Answer:

38.1 billion dollars.

Step-by-step explanation:

2020 - 1998 = 22 years, so

S  - 1.5(22) = 5.1

S = 5.1 + 1.5(22)

S = 5.1 + 33

= 38.1.

A bookstore has 120 science fiction books. It has 30% fewer mysteries than science
fiction books. It has 25% more biographies than mysteries. How many biographies
are in the bookstore? Show your work.

Answers

Answer:

105

Step-by-step explanation:

Explanation is in photo

Find the slope of the line (2,-3) (4,-7)

Answers

hello!

Use the slope formula:-

[tex]\displaystyle\frac{y2-y1}{x2-x1}[/tex]

[tex]\displaystyle\frac{-7-(-3)}{4-2} =\frac{-7+3}{2} =\frac{-4}{2} =\bigstar{\boxed{\pmb{-2}}}[/tex]

note:-

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)

Melissa deposits $5000 into an account that pays simple interest at a rate of 4% per year. How much interest will she be paid in the first 2 years?

Answers

Answer:

$400 is the intrest she will pay in the first 2 yrs

Step-by-step explanation:

principal (p) = 5000

time (t) = 2yrs

rate (r) = 4%

Now,

Intrest(I) = p×t×r/100

= 5000×2×4/100

= 400$

I need help ASAP or im going to fail

Answers

45? Three non student tickets plus parking so 12*3 +9

Answer:

45

Step-by-step explanation:

Since it given that her parent and grandmother attend a soccer game. Thus, we can see that there is no students.

Also given that:

Student tickets: $6

Non-Student tickets : $12

Parking : $9

Thus,

Non- Student tickets:$ 12 (Parents and grandmother are not students)

Parking: $9 ( Since they attend a soccer game they need somewhere to park)

Parents = 2 person (Mom and Dad)

Grandmother = 1 person

1 + 2 = 3

Now,

Since Non-student tickets = $12

3 * 12 +9

36 + 9

45

Hence, the family spend $45 to attend the game.

~lenvy~

Solve the system of equations.​
−4x+3y=−2
y=x−1​

Answers

(-1,-2)

x= -1

y= -2

Have a wonderful day :)

Hope this helps ....... :))))

CAN SOMEBODY SOLVE EQUATION IM LOST

Answers

Answer:

2

- x  -1

3  

Step-by-step explanation:

From the top of a lighthouse 170 feet high, the angle of depression of a boat out at sea is 24°. Find, to the nearest foot, the distance from the boat to the foot of the lighthouse. (The foot of the lighthouse is at sea level.)

Answers

Check the picture below.

Simplify the expression with nested parentheses.
4 30+ 26+6 −33

Answers

Answer:

not sure if the 4 is seperate but if it is then (30+26)+(6-33)

Step-by-step explanation:

Which expression is equivalent to 4/5x + 1 4/5
A 1/5(4x +1)
B 2/5(2x + 3)
C 4/5 (x + 2)
D 5/4 (x + 1)

Answers

There is none, but the closest is C.

It should be: 4/5( x + 2.25)

4/5 x x = 4/5x

4/5 x 2.25 = 9/5 (or 1 4/5)

(4 x? = 9) ==> 2.25

Step-by-step explanation:

A) 4/5 x + 1/5

B) 4/5x + 6/5 (or 1 1/5)

C) 4/5x + 8/5 (or 1 3/5)

D) 5/4 x + 5/4 (or 1 1/4)

Hope this helps!

i kneed help

Which of the following is an example of symbolism in a political communication?

A campaign ad that uses the American flag to show the candidate is patriotic
A website that explains where candidates stand on the issues of their party's platform
A news channel that actively advocates for a particular candidate
A radio program where local politicians are interviewed about important local issues

Answers

Answer:

Here :D

Step-by-step explanation:

The option that is an example of symbolism in a political communication is; A radio program where local politicians are interviewed about important local issues.

What is Symbolism in Communication?

In symbolism in communication, we are trying to use a means or medium to pass across a message to an audience consciously or unconsciously.

Now, for political communication, the politicians are trying to talk about important issues with respect to the elections. Thus, from the given options, the only one that is an example of symbolism in a political communication is A radio program where local politicians are interviewed about important local issues.

Read more about Symbolism at; https://brainly.com/question/15816956

#SPJ2

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