Consider the function graphed below.
Which function does the graph represent?
Answers
Answer:
its c on edge 2021
Step-by-step explanation:
The function of graph is
f(x) = { x² , x < 1
1/3x+ 2/3 , x > 1
What is function?In mathematics, a function is an expression, rule, or law that establishes the relationship between an independent variable and a dependent variable. In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.
For first part of graph we have the equation of parabola as
y = a (x- h)² + k
At origin, h= 6 and k= 0
y = ax²
and, Passing through the point (1, 1)
1 = 1 (a)
a= 1
So, the equation first is y= x².
Now, for second part using slope intercept form
y= mx+ b
As, Passing through (1, 1) and (4, 2)
(y- 1) = (2-1)/ (4-1) (x- 1)
y-1 = 1/3 (x-1)
y - 1 = 1/3 x - 1/3
y - 1/3 x = -1/3 + 1
y - 1/3x = 2/3
y= 1/3x + 2/3
So, the function of graph is
f(x) = { x² , x < 1
1/3x+ 2/3 , x > 1
Learn more about Function here:
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Related Questions
Which of the following equations is represented by the figure?
Answers
what is the answer to y= 4x + 11
Answers
Answer:
x=-11/4
Step-by-step explanation:
4x+11 x=4 hope this helps
Find the measure of each exterior angle of the polygon.
Answers
Answer:
120 degrees for each angle
Step-by-step explanation:
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A line passes through the point (12,0) and is parallel to the line with the equation y = 1∕6x + 1. What's the equation of the line?
Answers
Answer:
y=1/6x-6
Step-by-step explanation:
The first step is to set up the equation. Since the lines are parallel the slopes will be the same.
Note: y=mx+b; m is the slope and b is the y-intercept
Since we know that the slopes are the same all we have to do is plug in (12,0) in the equation to find b (y-intercept),
0=1/6(12)+b
0=6+b
-6=b
Now that we know b all we have to do is put it in the formula y=mx+b
y=1/6x-6.
Answer:
y = (1/6)x - 2
Step-by-step explanation:
"Parallel" means "has the same slope as..." so the slope of the line you want is 1/6.
y = (1/6)x + b where b is the y-intercept (now, find it using the point (12, 0) ).
0 = (1/6)(12) + b
0 = 2 + b
b = -2
The equation is y = (1/6)x - 2
what is the range of the given data above?
a.26
b.28
c.30
d.34
what is the width of tye class interval of the given data above
a.4
b.5
c.6
d.7
Answers
Range= biggest number minus the smallest number! hope this helps! i
The range of the given data is 34.
The width of the class interval in the given data is 4.
What is the range?
Range is the difference between the highest and lowest values of a set of observations
Range =Upper-class boundary of the highest interval – Lower class boundary of the lowest interval
79 - 45 = 34
What is the class width?
The class width is the difference between the upper bound and lower bound.
Class width : 49 - 45 = 4
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At the electronics emporium, 10 CDs are on sale. Marie can only afford to buy 3 CDs. How many combinations of CDs are possible?
Answers
Answer:
120 combinations of CDs are possible
Step-by-step explanation:
The total combinations could be
[tex]10C_3[/tex]
[tex]\frac{10*9*8*7!}{7!*3!}[/tex]
On further expanding, we get -
[tex]\frac{10*9*8}{3!} \\\frac{10*9*8}{3*2*1} \\= 10*3*4\\= 120[/tex]
Hence, 120 combinations of CDs are possible
Kim has a rope that is meter long, she wants to cut it into 5 places, Each piece must be the same size.
How long will each piece of rope be?
Answers
Answer:
1/5 meter per piece
Step-by-step explanation:
Divide this 1-meter-long rope by 5:
1 meter
--------------- = 1/5 meter per piece, or 200 mm
5 pieces
Find the volume (show work)
Answers
V = 1/3 × base × height
V = 1/3 × ( 8 × 8 ) × 7
V = 1/3 × 64 × 7
V = 448/3
V = 149.33333
V = 149.3
HELP ME SOLVE THIS PLEASE You paid $600 for a new guitar. Your guitar cost $40 more than twice the cost of your friend's guitar. How much did your friend's guitar cost?
Answers
Answer:
520??
Step-by-step explanation:
600-80=520??
educated guess.
600= 2x+40
Subtract 40 from each side to cancel out the +40 from the right side
560= 2x
Divide by two to isolate the variable
280= x
ANSWER:
$280
PLEASE HELP
Mrs. Ameldo's class has 5 students with blue eyes, 7 with brown eyes, 4 with hazel eyes, and 4 with green eyes.
Two students are selected at random. Find each probability.
HINT: These events are DEPENDENT
a) Probability of selecting a green-eyed student, and then a brown-eyed student = ___
1. 11/20
2. 7/100
3. 7/95
4. 7/10
b) P(two blue) = ___
1. 1/20
2. 5/20
3. 1/19
4. 2/5
Be sure to reduce your fractions!
(Remember, once a blue-eyed student is picked, there will be ONE LESS blue-eyed student and ONE LESS student in total.)
PART 2
a) P(hazel then blue) = ___
1. 1/19
2/ 7/380
3. 1/20
4. 1/2
b) P(brown then blue) = ___
1. 7/80
2. 7/76
3. 3/5
4. 1/4
Answers
Answer:
please mark my answer as brainliest:
7/100, 1/19
1/20, 7/80
Step-by-step explanation:
firstly, figure out the total amount of students:
5+7+4+4=20
remember that dependant variables means you have to multiply the values
a)
figure out probability of choosing a green eyed student:
4/20
figure out probability of choosing a brown eyed student:
7/20
multiply values:
4/20 x 7/20 = 7/100
b)
probability of choosing a blue eyed student:
5/20 = 1/4
probability of choosing another blue eyed student:
4/19 (bc theres 1 less)
multiply:
1/4 x 4/19= 1/19
PART 2
a)
probability of choosing a hazel eyed student:
4/20
probability of choosing a blue eyed student:
5/20 = 1/4
multiply:
4/20 x 1/4 = 4/80= 1/20
b)
probability of choosing a brown eyed student:
7/20
probability of choosing a blue eyed student:
5/20 = 1/4
multiply:
7/20 x 1/4 = 7/80
Find The area of the shape
A. 49 square units
B. 42 square units
C. 33 square units
D. 30 square units
Answers
Answer:
[tex]\huge\colorbox{pink}{✏﹏ \: C. 33 square units \: }[/tex]
Step-by-step explanation:
Count the number of squares inside the figure. There are a total of 33 squares. This is the area of the figure.
To find the area all you have to do is count the squares inside the shape. In this example there are 33 squares. Hope this helped!
Two employees of Frontier Fence Company can install 100 feet of fence in two days. Help a. What is the unit rate for one employee? b. Write a proportion to show the relationship between this rate and 150 feet of fence. c. At this same rate, how many employees are needed to install 150 feet of fence in one day? -2020 CPM Educational Program. All rights reserved.
Answers
Answer:25/day
Step-by-step explanation:
PLZ HELP ME!!! NO LINKS PLZ!!!!!!
The results of a survey of students' favorite food are organized in the frequency table below. What is the sum of all of the relative frequencies for all types of food?
Food Preferred Frequency
Pizza 10
Hamburger 6
Spaghetti 1
Hotdog 5
Taco 4
*THE ANSWER IS NOT 26*
Select one:
a. 0
b. 100
c. 1
Answers
Answer:
100
Step-by-step explanation:
because it seems right
Answer:
C. 1
Step-by-step explanation:
The sum of relative frequencies in a distribution always equals 1
Fred and Wilma purchase a new home for $190,000. The value of the home increases by 4% every 3 years.
Determine the value of the home after 21 years.
After 21 years, the home is worth $?
Round your answer to the nearest cent.
Answers
Answer:
After 21 years the value of the house will be $250900
Yes, it worth
3. A class rolled number cubes. Their results are shown in the table. What is the experimental probability of rolling the number 1? Round your answer to the nearest tenth.
17.2%
16.4%
15.7%
17.5%
Answers
Answer:
15.7%
Step-by-step explanation:
Experimental probability is the probability of something that is determined by doing an experiment.
To find the probability, divide the number of rolling a one and add all the occurrences of every other result.
So,
42 / (42 + 44 + 45 + 44 + 47 + 46) =
42 / 268 =
0.156716 =
15.6716
Rounded to the nearest tenth, the probability of rolling a one would be 15.7%.
in a bag, there are 5 red marbles, 2 blue marbles and 3 purple marbles. what is the probability of drawing a purple marble
Answers
Answer:
The probability of drawing a purple marble is 3/10
Which function is represented in this graph?
f(x) = |x + 5| − 1
f(x) = |x + 1| − 5
f(x) = |x − 1| − 5
f(x) = |x − 5| − 1
Answers
Answer:
the first one
Step-by-step explanation:
f(x) = |x+5| -1
points, segments, rays and lines
Answers
Answer:
B, E
Step-by-step explanation:
The lines at the top represent line, ray, or segment.
Since line UV is a segment, it includes the normal line. And, you can flip UV to VU so...B and E!
Find the volume. I need answer answer ASAP
Answers
Answer:
[tex]A=448[/tex]
Step-by-step explanation:
To find the volume of the given figure, one must multiply the lengths of all sides together. Therefore, set up an equation and solve,
[tex]V = (l)(w)(h)[/tex]
(V) indicates volume, (l) indicates the length of the base, and (h) indicates the height of the figure.
Substitute,
[tex]V=(8)(14)(4)[/tex]
Solve,
[tex]A=448[/tex]
Earth's radius is approximately 3960 miles. What is the approximate surface area of
Earth in terms of ?
Answers
Answer:
196.9 million mi^2
Step-by-step explanation:
What value of x makes the equation 3 = [tex]\sqrt[3]{3x+ 6}[/tex] true?
Answers
Answer: 7
Step-by-step explanation:
Solve rational equations that have real solutions.
PLZ HELP!
Use the parabola tool to graph the quadratic function f(x)=-x^2+4
Graph the parabola by first plotting its vertex and then plotting a second point on the parbola.
Answers
Answer:
vertex and x= -b/2a = 0
second point, when x=1, y=3
third point the mirror of the second point over the vertex
Step-by-step explanation:
Do as described
Barbara says that the expression
6 - 3y + 4 + 2y is equivalent to the expression
5y + 10. Is Barbara correct?
Answers
Answer:
No she is wrong.
Step-by-step explanation:
Let's simplify step-by-step.
6−3y+4+2y
=6+−3y+4+2y
Combine Like Terms:
=6+−3y+4+2y
=(−3y+2y)+(6+4)
=−y+10
Answer:
=−y+10
Which of the following is equal to 2?
A. 6 + 4 ÷ (2 + 1) × 3
B. (6 + 4 ÷ 2) – 1 × 3
C. 6 + (4 ÷ 2) + 1 × 3
D. (6 + 4) ÷ 2 – 1 × 3
Answers
Answer:
D
Step-by-step explanation:
Start with the values inside parentheses.
6 + 4 = 10
10 / 2 = 5
Then subtract 1*3.
5 - 3 = 2
*B is incorrect because according to order of operations, 4/2 should be calculated before adding 6.
which set of sides will NOT make a triangle?
12cm, 7cm, 5cm
2cm, 3c, 4cm
11cm, 13cm, 3cm
19cm, 14cm, 7cm
Answers
This is because the sum of any 2 sides must be longer than the third side. Here 5+7 = 12 and is not larger than 12.
help please and thanks
Answers
Answer:
28km
Step-by-step explanation:
Pythogreom therom
Answer: use p h o t o m a t h
Step-by-step explanation:
please help me I’m not sure if I’m right lol :)!!!!
Answers
Answer:
You are correct :)
Step-by-step explanation:
Area of a circle = π * r2
R = 39
So 39 squared is 1521.
1521 times pi is 4775.94
Answer:
You are correct! The answer is 4775.94 in^2
Step-by-step explanation:
πr^2 or π(39)^2
Michelle falou que tem 5 anos e que sua irmã tem 13 e seu pai 35 e sua mãe tem tres anos amenos que seu pai .Quantos anos a família tem ao total?
Answers
Responder:
85 anos
Explicação passo a passo:
Dado :
Idade de Michelle = 5 anos
Idade da irmã = 13 anos
Idade do pai = 35 anos
Idade da mãe = idade do pai - 3 = 35 - 3 = 32 anos
Idade total se a família:
(Idade de Michelle + idade da irmã + idade da mãe + idade do pai)
(5 + 13 + 35 + 32) = 85 anos
pls help i need this done very soon :
Answers
X= -1
Because you first subtract the 6 to 1 and that equals -5 than you divide the -5 by 5 and that equals -1.
HELP I WILL GIVE BRAINIEST