Answers
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
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
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
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].
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]
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
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
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 ;)
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
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
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.
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
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
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 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
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!
Which number is a rational number?
9
13
V2
16
49
134
Answers
Your answer would be 49
I hope this helps :)
And please give it a like
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)
Plz help ASAP I will mark u branliest
Answers
Answer:
1. Three 1. Two
2. Four 2. Five
Step-by-step explanation:
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
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:
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
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!
PLEASE HELP I WILL MARK BRAINLIEST
Answers
Hope this helps :)
(Would love brainliest)
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
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
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
PLS HELP ILL GIVE THE BRAINLEST PLEASSSSSE
Answers
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
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
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