What is the solution to the system of linear equations?

What Is The Solution To The System Of Linear Equations?

Answers

Answer 1

Answer:

(0,2)

Step-by-step explanation:

The equations must be derived from the graph:

First, find the slope of f(x):

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] let [tex](x_1,y_1)=(-3,3)[/tex] and [tex](x_2,y_2)=(3,1)[/tex]

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

Then use [tex]y-y_1=m(x-x_1)[/tex]

[tex]y-3=-\frac{1}{3}[x-(-3)]\\y-3=-\frac{1}{3}x-1\\y=-\frac{1}{3}x+2\\f(x)=-\frac{1}{3}x+2[/tex]

For g(x), let:

[tex](x_1,y_1)=(-3,0)\\(x_2,y_2)=(0,2)[/tex]

[tex]m=\frac{(2)-(0)}{(0)-(-3)}\\m=\frac{2}{3}[/tex]

[tex]y-0=\frac{2}{3}[x-(-3)]\\y=\frac{2}{3}x+2\\g(x)=\frac{2}{3}x+2[/tex]

Now, to solve for x, allow the two expressions written in terms of x equal each other.

[tex]-\frac{1}{3}x+2=\frac{2}{3}x+2\\(-\frac{1}{3}x+2)+\frac{1}{3}x=(\frac{2}{3}x+2)+\frac{1}{3}x\\2=x+2\\(2)-2=(x+2)-2\\x=0[/tex]

To solve for y, substitute 0 for x in f(x):

[tex]y=-\frac{1}{3}x+2\\y=-\frac{1}{3}(0)+2\\y=0+2\\y=2[/tex]

So, the solution to this system of equations would be the ordered pair (0,2).  This solution is seen on the graph as the intersection of the two lines.


Related Questions

Which number is a rational number?
9
13

V2
16
49
134

Answers

Hey there :)
Your answer would be 49

I hope this helps :)
And please give it a like

Please answer correctly! I will mark you Brainliest! The pictures go together! Please No answering without knowing answer or scamming!

Answers

Answer:

[tex]904.32[/tex]

Step-by-step explanation:

[tex]\frac{4}{3}\cdot \:3.14\cdot \:6^3[/tex]=[tex]904.32[/tex]

The volume of a sphere is [tex]\frac{4}{3}[/tex][tex]\pi[/tex][tex]r^{3}[/tex]

PLS HELP ILL GIVE THE BRAINLEST PLEASSSSSE

Answers

Answer:
7) ARC DE = 189
ARC EF = 13
ARC DFG = 347
8) ARC MN= 65
ARC NP= 115
ARC NQP= 245

Explanation:
7) 2 *vertical angles so double* (x-3) + 2 * vertical angles so double* 12x-25) = 360 *Total Degree of a circle*
2x-6 +24x-50 =360
26x -56 = 360
26x=416
x=16
Plug it back into the Formula.
Arc EF = x-3
16-3 = 13
Arc 12x -25 *Vertical Angels so same formula as Arc GF*
12(16)-3= 189
ARC DFG = 360 - ARC DG
360 - 13 = 347

8) 10x -45 = 6x-1 *vertical angles equal each other*
4x-45 =-1
4x =44
x=11
ARC MN = 10x -45
10(11)-45=65
ARC NP = 0.5(360 - 2(ARC MN))
0.5(360-130) = 115
ARC NQP = 360 -NP
360-115 = 245

Tammy sang 4 songs. Every song was 5/8 minutes long. For how much time did she sing in total? Write your answer in simplest form.

Answers

Answer:

5/2

Step-by-step explanation:

Tammy has 4 songs

For each of the songs, the time spent is 5/8 minutes

Therefore the total time spent ca be calculated as follows

= 4 × 5/8

= 20/8

= 5/2

Hence the total time spent is 5/2

Answer: 2.5

Step-by-step explanation: 4* 5/8 = 20/8 20/8= 2 4/8  2 4/8 = 2 1/2

2 1/2= 2.5

Plz help ASAP I will mark u branliest

Answers

Answer:

1. Three                                           1. Two

2. Four                                           2. Five

Step-by-step explanation:

1. Records for Ingman's Deli show this opening balance and these receipts for Ingman's Mustard from January through July. At the end of July, 52 jars were on hand. Find the total receipts, the total cost of each item, and the total cost for all items. Date Receipts Unit Cost Total Cost 1-Mar 60 $1.42 4-Apr 20 1.60 1-May 40 1.55 2-Jun 50 1.45 1-Jul 55 1.40 Total a. What is the average cost per unit? b. Using the average-cost method, what is the value of the inventory?​

Answers

Answer:

it is 1.34$ of the mayth for the value of inventory

HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP

Answers

Answer:

c

basically you add male (x) and female (y) together and get 127, there are 23 more male athletes (x) so to get the same amount of make and female you need to add 23 to female (y) so the answer will be c.

find the product (x+3y^2) (3x-3y^2)

Answers

Answer:

3x^2 - 12x·y^2 - 9y^2·y^4

Step-by-step explanation:

Apply the distributive property of multiplication here.

x times (3x - 3y^2) is 3x^2 - 3x·y^2.

3y^2 times (3x - 3y^2) is 9x·y^2 - 9y^2·y^4.  

Thus, the desired product of the given binomials is the sum of the above results:

3x^2 - 3x·y^2 - 9x·y^2 - 9y^2·y^4

which shortens to   3x^2 - 12x·y^2 - 9y^2·y^4

Someone help me with these two questions. All you need to do is solve for x.

Answers

Answer:

1.

X=12

2.

X=19

Step-by-step explanation:

Hope it was helpful

-Moj

Help help help help help help help help help help help help help help help help help help​

Answers

Answer:

Step-by-step explanation:

Part 1

P(z < -1.45)

Using the z score table

P =

Part 2

We solve using z score formula

z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

a) P(X >52)

x = 52

Mean = 60

Standard deviation = 8

z = 52 - 60/8

z = -1

P-value from Z-Table:

P(x<52) = 0.15866

P(x>52) = 1 - P(x<52) = 0.84134

b) P(48 < x < 64)

Can someone help me with this PLZ

Answers

Answer:

6 and 8

Step-by-step explanation:

Answer:

6 and 8

Step-by-step explanation:

Q1: 6 and 8

Q2: 8 and 12

Q3: 12 and 15

Q4: 15 and 20

Brainlist Pls!

Help me please!!! I’ll mark brainliest!!

Answers

Answer:

all the answers are c on that test my teacher did that same exact test

Step-by-step explanation:

mark brainliest!

I’ll give Brainly est help. B

Answers

Answer:

C) 99 + 3x

Step-by-step explanation:

Since it's always going to cost 99, it'll stay like that since it's a constant

Since it's 3 PER person, that means 3 will have a variable: 3x

Show all your work. Simplify the expression: 2x + 5 - 6x​

Answers

Answer: =−4x+5

Step-by-step explanation: Hope this help :D

Answer:

-4x+5

Step-by-step explanation:

You have to add like terms together to simplify it.

-6x+2x=-4x

PLEASE HELP I WILL MARK BRAINLIEST

Answers

It would be -108 feet

Hope this helps :)

(Would love brainliest)

Can someone help me with this. Will Mark brainliest.

Answers

Answer: I think it’s False I’m not sure

Answer:

it's false because isosceles is convex quadrilateral with line of symmetry

GIVE ME A SOLID ANSWER

I gain: These 2 pages answers

You gain: 25 points brainliest

Answers

Answer:

Sorry but it is really difficult to see the questions... :(

Can you zoom up on them?

Step-by-step explanation:

Julie is serving coffee at a brunch. She will need one pot of coffee
for every 5 guests. Write an expression she could use for deciding
how much coffee she needs for g amount of guests.

Answers

Answer:

g/5= pots of coffee

Step-by-step explanation:

It's just however many guests divided by 5 to solve for how many pots of coffee.

g/5= pots of coffee

Alexi’s restaurant bill is $58, and he wants to leave a 20 percent tip. Which expression represents the total amount that Alexi needs to pay?

58 dollars (0.20) + 58 dollars
58 dollars (0.20)
58 dollars (20)
58(20) + 58

Answers

Answer:

The Answer is A

Step-by-step explanation:

58(0.2) = 11.6 + 58 = 69.6

it's a

now have a nice DaY

The product of a number and 9 less than the number 10. Find the number.

Answers

Answer:

Hope this calculator helps it helps me alot and i hope it helps you to : )

Step-by-step explanation:

https://www.mathpapa.com/algebra-calculator.html

Which situation best represents the equation below x-15=60

Answers

Answer:

The correct answer is C. That problem best represent x - 15 =60.

Answer:

C

Step-by-step explanation:

So lets look at the first equation.

This would represent 60-15=x

This is because 60 shells minus 15 shells she gave away.

Next is B, whihc is also 60-15=x

This is because Mr yungs brother is 60 years old and mr yung is 15 years younger.

Next is c, whihc is 60+15=x

This is because they had 60, gave 15 already, and want to find out what they started with.

FInally we are left with d.

This is 15+x=60

Well...none of those look like x-15=60

But lets go back to c:

60+15=x

Lets try to rwwrite this.

Subtract 15 from both sides, and you get:

60=x-15

Just make this proper by putting the x-15 before the 60:

x-15=60

That looks like x-15=60

Now we know our answer!

C

Hope this helps ;)

Given two similar figures, if AB = 17 when DE = 4, and
AC = 6, then DF = ?
Round your answer to the nearest hundredth if necessary.

Answers

yea that link will help u out

what is the surface area of 3 in. 5 in. 5 in. 5 in. 3 in. 6 in.​

Answers

Answer:

126.0000 square units

Step-by-step explanation:

Maria decorated her notebook with 44 rectangular stickers. Each sticker was \frac{1}{2}
2
1

inch wide and \frac{11}{16}
16
11

inch long.

Answers

Answer:

[tex]A=\dfrac{121}{8}\ in^2[/tex]

Step-by-step explanation:

There are 44 rectangular stickers

Length of each sticker= (1/2) inch

The width of each sticker = (11/16) inch

We need to find the area of the all stickers. The area of a rectangle is given by :

[tex]A=l\times b\\\\A=44\times \dfrac{1}{2}\times \dfrac{11}{16}\\A=\dfrac{121}{8}\ in^2[/tex]

So, the area of all stickers is equal to [tex]\dfrac{121}{8}\ in^2[/tex].

Drag numbers to complete the ratio table. Numbers may be used once or not at all
8
4
15
10
12
Ratio Table
2
5
4

Answers

Answer:

2,4,6 5,10,15

Step-by-step explanation:

What is the measure of each side? NEED HELP ASAP

Answers

Answer:

Each side is 5 units long

Step-by-step explanation:

Since the opposite angles are equal then x + 2 = 3x - 4

So solve for x: so  4+2 = 3x - x

6 = 2x

3 = x

So one side is x + 2 = 3 + 2 = 5

The other side is 3x - 4 = 3(3) - 4 = 9-4 = 5

William has a coin and a spinner, shown below. He can flip heads or tails on the coin and spin numbers 1 through 8 on the spinner. He flips the coin once and spins the spinner once. What is the probability that the coin will land on heads and the spinner will land on an odd number?

Answers

Answer:

1/4

Step-by-step explanation:

Coin sample Space = {H, T}

Spinner sample space = {1, 2, 3, 4, 5, 6, 7, 8}

Probability that coin lands on head :

P(H) = 1 /2

Probability that spinner lands on odd number :

Odd numbers = {1, 3, 5, 7} = 4

P(spinner lands on odd) = 4 / 8 = 1/2

Hence, probability that the coin will land on heads and the spinner will land on an odd number = (1 /2 * 1/2) = 1/4

Unit 4 Mid-Unit Assessment 1 continued
2 Consider APQR
10
Part A
Draw ASTU which is the image of APQR
after a dilation with center (0,0) and
scale factor 3.
4
R
Part B
10
-8
-6
-2
2
6
10
What are the coordinates of the vertices
of ASTU?
Vertex S:
Vertex T:
Vertex U:
10
Part C
How do APQR and ASTU compare? Explain.

Answers

Do not click on the link it’s a scam .

Plzz I need help
math word problem

Answers

Answer:

there is 600 seats in the room

Step-by-step explanation:

formula you do 12x 40 then  3x40

What shape is made from these the following points? (1,1),(4,4),(4,1),(1,4)

Answers

Answer:

Rectangle

Step-by-step explanation:

Draw the dots on a grid and connect the dots

two sides have length of 3

two sides have length of 4

Other Questions
a A rocket shoots up 123 meteri. What is its initial velocity - I need help on this lol If you could participate in ANY reality television show, which would youchoose and why? A summary of who is Mitch Album? ( 50 points) (dont answer if u don't know ) 3 benefits of learning a different language Danny is painting a doghouse. To make it durable, he will paint all sides, including the bottom. The doghouse is shaped like a rectangular prism with a triangular prism on top, as shown. How many cans of paint does Danny need to cover the doghouse if each can covers 20 ft2? PLEASE THIS IS URGENT. Find the measure of the arc or angle indicated. 1. In which number does the 6 have a value that is one-tenth the value of the 6 in 34,7612A. 16,305B. 28,695C. 51,364D. 78,426 How would you justify Ivan Pavlov use of animals instead of human beings? Give 4 justification And still they danced, until the moon sank low, Blushing a little, Simile, Metaphor, Personification, or Hyperbole? plz no silly answer or point chasing or that xtiny link mess Gabriel interviewed his 30 classmates on whether or not they own a bike and live near a pool. He displayed his results in the two waytable shown. Which statement is true?If a classmate owns a bike then they live near a poolB)If a classmate doesn't own a bike than they don't live near a poolAbout of his classmates live near a pool and do not own a bike.D)A greater percentage of his classmates own a bike and don't live near apool than own a bike and live near a pool. What conclusion can be made about the connection between Greek and Romangods?A. e gods of Greece and Rome both regularly punished the people of Earth.B. e gods regularly fought for power over the people of Greece and Rome.C. The Roman and Greek gods shared similar roles in their societies yet had different names.D. The Roman and Greek gods shared common names and responsibilities. . Choose the correctly matched pair about Jhumming cultivation. (1) Ray - Indonesia Ladang -Vietnam Roca -Brazil Milpa - China I need help plz 7th grade math Please help me with my math! For the following right triangle, find the side length x. Round your answer to the nearest hundredth.138 If two angles are vertical and one of the angles measures 65 degrees, what is the measurement of the other angle? Find the value of xIf 2x = 100 A cardinal is sitting 15ft up in a tree and spies some birdseed on the ground. If the bird must travel 17.3ft to get from the tree to the birdseed, what is the angle of depression it must fly? Round your answer to the tenth of a degree. Baxters dad fills his sandbox to half its capacity. Which equation can be used to find the volume of the sand in Baxters sandbox?