Find the point of intersection for the two functions through substitution. Show
your work
f(x) = -4x + 7
g(x) = 2x + 13
PLEASE HELP ME AND SHOW WORK I WILL MARK YOU THE BRAINLIEST!

Answers

Answer 1
Answer:  (-1, 11)

This means x = -1 and y = 11 pair up together.

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

Work Shown:

Set the two functions equal to one another. Solve for x.

f(x) = g(x)

-4x+7 = 2x+13

7 = 2x+13+4x ... adding 4x to both sides

7 = 6x+13

7-13 = 6x .... subtract 13 from both sides

-6 = 6x

6x = -6

x = -6/6 ... divide both sides by 6

x = -1

Use this x value in either function

f(x) = -4x+7

f(-1) = -4(-1)+7

f(-1) = 11

or

g(x) = 2x+13

g(-1) = 2(-1)+13

g(-1) = 11

Whichever function you pick, the input x = -1 leads to the output y = 11.

The point of intersection is (x,y) = (-1, 11)

Visual confirmation is shown below.

Find The Point Of Intersection For The Two Functions Through Substitution. Showyour Workf(x) = -4x +

Related Questions

The blue segment below is a radius of 0. What is the length of the diameter
of the circle?

Answers

Given that,

The radius of the circle, r = 7.3 units

To find,

The diameter of the circle.

Solution,

If r is the radius of the circle, then its diameter is given by the relation as follows :

d = 2r

Put the value of r.

d = 2(7.3)

= 14.6 units

So, the diameter of the circle is 14.6 units. Hence, the correct option is (A).

What is the slope of the line below?
(4,5)
(-2,2)

Answers

Answer:

1/2 or one half

Step-by-step explanation:

Answer:

The slope is 1/2.

Step-by-step explanation:

To find the slope of a line, divide yB - yA by xB - xA.

(yB - yA)/(xB - xA)

(2 - 5)/ (-2 - 4)

-3/-6

Dividing two negatives make a positive.

0.5

The slope is 0.5, or 1/2.

Write an equation, and then solve.
5. Kiesha and Wanda went to the mall for 4.5 hours. While they were there, they went to a movie that lasted 130
minutes and ate dinner for 70 minutes. They spent the rest of the time walking around the mall. How long did
they spend walking around the mall?

Answers

Answer:

70 mins

Step-by-step explanation:

Lets first convert the 4.5 hours to minutes. We know that there's 60 mins in an hour, so we can just multiply 4.5 by 60 to get 270 minutes. Now we know the total time spent at the mall.

Then, we can add the times given in the question.

130 mins + 70 mins + walking mins = 270 mins

To solve, simply collect like terms:

200 mins + walking mins = 270 mins

walking mins = 270 mins - 200 mins

walking mins = 70 mins

Kaden, Keith, and Kipp compete in a series of daily 3-way races. For each race, the probability that Kaden wins is 1/6, the probability that Keith wins is 1/2, and the probability that Kipp wins is 1/3. On a day that Kaden doesn't win, what is the probability that Keith beats Kipp?​

Answers

9514 1404 393

Answer:

  3/5

Step-by-step explanation:

Let a, b, c represent the probability of a win by Kaden, Keith, and Kipp, respectively.

  P(bc' | a') = P(a'bc')/P(a')

  P(bc' | a') = (1/2)/(1 -1/6) = (3/6)/(5/6) = 3/5

The probability is 3/5 that Keith beats Kipp when Kaden doesn't win.

whats is y= 2x-7 graphed

Answers

Answer:

Step-by-step explanation:

Start with a point at -7 on the y axis, and move up 2 right one repeatedly and keep making points. Then, connect them and you'll have your line.

Slope: 2
y-intercept: (0, -7)

what is the answer to 2(1-x)=11

Answers

Answer:

-9/2 in exact form but -4.5 in decimal form

Answer:

x=-4.5

Step-by-step explanation:

distribute

2(1-x) = 11

2-2x=11

combine like-terms

-2x = 9

isolate x and divide out the negative

-2x/-2 = 9/-2

x = -4.5

 4 ÷ 0.2= ??? what is it?​

Answers

Answer:

20

Step-by-step explanation:

What is the probability of picking a yellow marble and a blue marble of the yellow marble is replaced ?

Answers

Answer:

50%

Step-by-step explanation:

whats yall fav candy!

Answers

Answer:

Twix and Milky Way!

Step-by-step explanation:

Answer:

whats yall fav candy!

jelly (^__^)

At a​ little-known vacation​ spot, taxi fares are a bargain. A 16​-mile taxi ride takes 18 minutes and costs ​$14.40. You want to find the cost of a 38​-minute taxi ride. What unit price do you​ need?

Answers

Answer:

$30.4

Step-by-step explanation:

2. Which of the following is a linear inequality in two variables?
a. 7x - 4y= 3
c. 2t 56
b. 4m + 3 < 23
d. 3 + 5t 2 3r

Answers

A !! 7x-4y=3 is linear !!


Please mark BRAINLEST

Solve
4(3x − 2) = 52

Answers

Answer:

x=5

Step-by-step explanation:

4×3x=12x

4×-2=-8

(12×x)-8=52

So you balance it to make it:

12x=60

60÷12=5

I hope this helps and please give brainliest and thank me

Step-by-step explanation:

Open bracket

use 4 to multiply what is in the bracket

12x - 8 = 52

collect like terms (CLT)

12x = 52 + 8

12x = 60

divide both sides by 12

x = 5

Need quick(Right answer gets brainliest)

What is m angle TRS?

Answers

Answer:

∠TRS = 68°

Step-by-step explanation:

∠TRS + ∠S = 180 - 44 = 136

∠TRS = ∠S

2∠TRS = 136

∠TRS = 68

Evaluate the expression when a=10,b=9, and c=4.
3a+2b−6c =

Answers

Answer:24

Step-by-step explanation:

Multiply 3 times ten, 2 times 9, and 6 times 4 and solve you get 24

The value of the given expression is 24.

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.

The given expression is 3a+2b-6c.

Substitute a=10,b=9, and c=4 in the expression 3a+2b-6c, we get

3×10+2×9-6×4

= 30+18-24

= 24

Therefore, the value of the given expression is 24.

To learn more about an expression visit;

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

#SPJ2

SU: ST is 4:1

picture below​

Answers

Step-by-step explanation:

Length of SU to ST = 4 : 1.

=> (3m + 6) : m = 4 : 1

=> 3m + 6 = 4m

=> m = 6.

Raina has two coupons for a phone.

Coupon A: 45% off of a $83 phone

Coupon B: $40 rebate on a $83 phone

Choose the coupon that gives the lower price.
ong it says college but im acctually in 7th grade :((

Answers

The lower priced option is Coupon A

A class counts how many vehicles drove past their school from 1:00pm to 2:00pm. There's 3 times as many cars as trucks

Answers

is there more to this problem?

whats the answer to

(504-300+800) x 100 / 3?

Answers

Answer:

  [1]    x - 6y = 3

  [2]    x + 2y = 5

Graphic Representation of the Equations :

   -6y + x = 3        2y + x = 5  

Solve by Substitution :

// Solve equation [2] for the variable  x

 [2]    x = -2y + 5

// Plug this in for variable  x  in equation [1]

  [1]    (-2y+5) - 6y = 3

  [1]     - 8y = -2

// Solve equation [1] for the variable  y

  [1]    8y = 2

  [1]    y = 1/4

// By now we know this much :

   x = -2y+5

   y = 1/4

// Use the y  value to solve for  x

   x = -2(1/4)+5 = 9/2

Solution :

{x,y} = {9/2,1/4}

Answer:

33433.2

Step-by-step explanation:

504 - 300 = 204

204 + 800 = 1004

100 / 3 = 33.3

1004 x 33.3 = 33433.2

Help please I’ll give you as much as points as I can

Answers

Answer:

48

Step-by-step explanation:

Find the slope and y-intercept of the line. Enter the y-intercept as the y-value of the point where the
graph intersects the y-axis.
3x + 3y = 6

Answers

Answer:

Slope: -1, y-intercept: 2.

Step-by-step explanation:

3x + 3y = 6 in slope intercept form is y = -x + 2. Slope-intercept form is y = mx + b. As we know, m is slope and b is y-intercept. This means the slope is -1 and the y-intercept is 2.

A meal at a restaurant cost $ 22 and the sale tax of $ 1.87 was added to the bill. what is sale tax in this city?​

Answers

The Answer is 8.5%
Working is 1.87/22 by 100 = 8.5
To ensure answer is correct multiply 22 by 8.5% you WILL get $1.87.
I hope this helps.

Hong made $323 for 17 hours of work

At the same rate, how much would he make for 7 hours of work

Answers

Answer:

$153

Step-by-step explanation:

323/17=19

19x7=153

What is the slope of the line shown below?
10+
(3,9)
O
A. -6
(-4, 2)
B. 6
-10
10
C. 1
O
D. -1
10
SUBMIT

Answers

Answer:

C. 1

Step-by-step explanation:

Use the formula to find slope:

(y2-y1)/(x2-x1)

Plug in the numbers you have.

(9 - 2)/(3 - -4)

7/7

1

Slope of the line shown below is option C. 1

What is Slope?

Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.

Slope can also be defined as the tangent of the angle that the line is making with the positive X axis.

Given is a line.

Slope must be positive since the line is drawn in the positive direction.

Consider two points along the line.

Consider (-4, 2) and (3, 9).

Slope = change in y coordinates / change in x coordinates

          = (9 - 2) / (3 - -4)

          = 7 / 7

          = 1

Hence the slope is 1.

To learn more about Slope, click :

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Select the expression that is equivalent to (x+5)'2

Answers

Answer:

There are no options but I guess C

Step-by-step explanation:

What is the answer for the algebra equation Ab•2b

Answers

Answer:

[tex]\huge\bold\purple{ 2a•3b }[/tex]

Can someone help me out with this problem?

Answers

Answer:

[tex] \frac{1}{2} \: cup \: for \: each \: dumpling \\ 10 \: cups \: for \: \frac{ \frac{10}{1} }{ \frac{1}{2} } = 20 \: dumplings[/tex]

20 dumplings can be made by Luke.

Two angle measures of this triangle are 60°. Which type of triangle is it?

Answers

Answer:

It's an equilateral triangle.

Step-by-step explanation:

For starters, the angle measures of any triangle all add up to 180 degrees. Because 2 sides of this triangle are 60 degrees, the two sides added up would be 120 degrees. Because 180 - 120 = 60, the unknown side is 60 degrees. Because an equilateral triangle is a triangle where all the angles or sides are equal, and all of the angle measures of the triangle are equal, it is an equilateral triangle.

A 2-column table with 4 rows. Column 1 is labeled Item Sold with entries Microwave Oven, Refrigerator, Dishwasher, Washing Machine. Column 2 is labeled Sale Price with entries 130 dollars, 600 dollars, 300 dollars, 350 dollars.
Rashad works at an appliance store. He earns 10 percent of the total amount he sells. The table shows the amount of sales he made in one day.

What is the total amount of Rashad’s sales?


How much does Rashad earn from his sales? sorry for the copy paste I'm in a hurry

Answers

Answer:

1800

Step-by-step explanation:

600x300

Write a linear model for the amount of boxes, b, as a function of the number of hours since they opened, h. Use your model to predict the number of boxes in stock at the end of an 8 hour shift.

Answers

Question:

A company produces boxes of DVDs at a rate of 52 boxes per hour they begin to produce boxes when they first opened for the day and after 3 hours have 400 boxes in stock.

- How many boxes were in stock when they opened?

- Write a linear model for the amount of boxes, b, as a function of the number of hours since they opened, h.

- Use your model to predict the number of boxes in stock at the end of an 8 hour shift.

Answer:

1. [tex]Initial = 244[/tex]

2. [tex]b = 244 + 52h[/tex]

3. 660 boxes

Step-by-step explanation:

Given

[tex]Rate = 52\ per\ hour[/tex]

[tex]Total\ boxes\ in\ 3\ hours = 400[/tex]

Solving (a): Initial Number of boxes

First, we calculate the number of boxes made in 3 hours

[tex]Boxes = Rate * Hours[/tex]

[tex]Boxes = 52 * 3[/tex]

[tex]Boxes = 156[/tex]

If they had 400 boxes at the 3rd hour.

Then, the number of boxes when they opened is:

[tex]Initial = 400 - 156[/tex]

[tex]Initial = 244[/tex]

Solving (b): Linear function

[tex]b = boxes[/tex]

[tex]h = hours[/tex]

Since, we have the rate and the initial number of boxes.

The linear function is:

[tex]Boxes = Initial + Rate * Hours[/tex]

i.e.

[tex]b = 244 + 52 * h[/tex]

[tex]b = 244 + 52h[/tex]

Solving (c): Boxes at the end of the 8th hour

We have:

[tex]b = 244 + 52h[/tex]

In this case:

[tex]h = 8[/tex]

Substitute 8 for h

[tex]b = 244 + 52 * 8[/tex]

[tex]b = 244 + 416[/tex]

[tex]b = 660[/tex]

Hence, there are 660 boxes at the end of the 8th hour

Liza types 180 words in 3 minutes. At
that rate, how many minutes does it
take her to type 1,260 words?

Answers

180 divided by 3 = 1 minute = 60 words
1260 divided by 60= 21
21minutes
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