Answers
Answer:
[tex] \huge \boxed {y = |x| + 3}[/tex]
Step-by-step explanation:
Similar to Parabola, except this is Modulus Function.
[tex] \boxed {y = a |x - h| + k} \\ a \: = slope \\ h = move \: \: to \: \: x - axis \\ k = move \: \: to \: \: y - axis[/tex]
From the graph. The graph doesn't have any movement/transformation to x-axis, only y-axis. The graph only shifts up 3 units from y = |x|.
Both slopes are also 1 (from rise/run)
Hence, the answer is
[tex]y = |x| + 3[/tex]
Related Questions
HELP!! VERY TIME TIME SENSITIVE
Point A lies on the graph of f(x) = 1/2x + 2. Locate the image of point A that lies on the graph of f^-1(x)
A.) (-2, 1)
B.) (2, -1)
C.) (-1, 2)
D. (1, -2)
Answers
Answer:
B is your correct answer
Step-by-step explanation:
The image of point A on the graph of f⁻¹(x) has coordinates (x, y) = (3, 2).
What is Inverse of function?The inverse of a function is a new function that "undoes" the original function. More formally, if a function f maps elements of a set X to elements of a set Y, and if there is a function g that maps elements of Y back to elements of X such that g(f(x)) = x for all x in X, then g is called the inverse of f.
First, we need to find the inverse of f(x) = 1/2x + 2. We can do this by switching x and y and solving for y:
x = 1/2y + 2
x - 2 = 1/2y
2x - 4 = y
So, the inverse function is f⁻¹(x) = 2x - 4.
Now, we can use the coordinates of point Ato find its image on the graph of f⁻¹(x).
Point A has coordinates (x, y) = (0, 2) since it lies on the graph of f(x) = 1/2x + 2. We want to find the image of this point on the graph of f⁻¹(x) = 2x - 4.
We can start by plugging in y = 2 into the equation for f⁻¹(x):
y = 2x - 4
2 = 2x - 4
6 = 2x
x = 3
So, the image of point A on the graph of f⁻¹(x) has coordinates (x, y) = (3, 2).
Learn more about Inverse of Function here:
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Tran has a coin jar that contains nickels, dimes, and quarters. There are 185 coins in the jar. There are 5 more dimes than quarters. If the total value of the coins in the jar is $25.25 how many quarters does the jar contain?
Answers
Answer:
[tex]63[/tex]
Step-by-step explanation:
Let number of nickels be [tex]x[/tex]
Number of dimes be [tex]y[/tex]
Number of quarters be [tex]z[/tex]
Total number of coins is [tex]185[/tex]
[tex]x+y+z=185[/tex]
Number of dimes is 5 more than quarters
[tex]y=5+z[/tex]
[tex]x+(5+z)+z=185\\\Rightarrow x+2z=180\\\Rightarrow x=180-2z[/tex]
Amount of money in the jar is $25.25
[tex]0.05x+0.1y+0.25z=25.25\\\Rightarrow 0.05x+0.1(5+z)+0.25z=25.25\\\Rightarrow 0.05x+0.5+0.1z+0.25z=25.25\\\Rightarrow 0.05x+0.35z=24.75[/tex]
[tex]0.05(180-2z)+0.35z=24.75\\\Rightarrow 9-0.1z+0.35z=24.75\\\Rightarrow 9+0.25z=24.75\\\Rightarrow z=\dfrac{24.75-9}{0.25}\\\Rightarrow z=63[/tex]
[tex]y=5+z=5+63\\\Rightarrow y=68[/tex]
[tex]x=180-2z=180-2\times 63\\\Rightarrow x=54[/tex]
So, the number of quarters is [tex]63[/tex].
Answer:
63 is the correct answer :)
Step-by-step explanation:
PLEASE help mee. Explain and show work plsss.
Answers
6. yes, if line was originally in the top right quadrant you could lower y intercept so that it no longer goes through top right
GIVING BRAINLIEST PLEASE HELP
Answers
Answer:
The answer is B
Step-by-step explanation:
Answer:
ans is B sorry if it's direct
help me out? please !
Answers
Answer:
trapezoid
Step-by-step explanation:
if there are 93 calories in 3/4 cups how many calories are in 1 cup
Answers
?? = 1
Cross multiple
1(93)/(3/4) = 124
Answer:
124
Step-by-step explanation:
Cross Multiply
(93x4)/3
look at this please it would really help
Answers
0 hours would be 0 dollars of course
0.5 hours would be $2.50
1 hour would be $5
2 hours would be $10
IM BEING TIMED PLZ HURRY AND THANKS What is the sum of a° + c°
Answers
Answer:
300°
Step-by-step explanation:
a° is 180°
c° is 120° (from 180° = 60° + c°)
please answer 4b + 10 = 70
Answers
Answer:
b=15
Step-by-step explanation:
On Monday, I sold 5 small Christmas wreaths and 3 large Christmas wreaths for a total of $82. Let x represent the cost of small wreaths and y represent the cost of large wreaths. Write an equation to represent this situation.
Answers
Answer:
The equation is, [tex]5x+3y=82[/tex].
Step-by-step explanation:
Let [tex]x[/tex] represent the cost of small wreaths.
So, the cost of [tex]5[/tex] small Christmas wreaths [tex]=5x[/tex].
Let [tex]y[/tex] represent the cost of large wreaths.
So, the cost of [tex]3[/tex] large Christmas wreaths [tex]=3y[/tex].
On Monday, [tex]5[/tex] small Christmas wreaths and [tex]3[/tex] large Christmas wreaths are sold for a total of [tex]\$82[/tex].
The equation is, [tex]5x+3y=82[/tex].
solve the equation -3x=9
Answers
Answer: x = -3
Step-by-step explanation:
-3x = 9
9 ÷ -3 = -3
:)
Answer:
x = -3
Step-by-step explanation:
-3x = 9
9 divide by -3 = -3
which the of triangles is similar to PQR
Answers
Answer:
D
Step-by-step explanation
18/15=1.2
21/1.2=17.5
They Match!
How many times do 5 go into 8
Answers
Answer:
1 time :)
Step-by-step explanation:
Answer:
It can only go into 8 once
8÷5=1.6
Step-by-step explanation:
7x^2a+7xa^2
Find the greatest common factor
Answers
Answer:
GCF is 7xa
Step-by-step explanation:
Answer:
hCf is 7ax
plz refer to the picture
plz mark as brainliest
Which is the best estimate of the difference between
6
7
8
and
2
1
8
?
A.
1
B.
3
C.
5
D.
8
Answers
Answer:
c. 5
Step-by-step explanation:
678 rounds to 700 and 218 rounds to 200. 700-200=500
In the hospital, 80 people were admitted Friday, 25% of these admissions were women in labor to have babies. How many women were in labor? O A 25 OB. 20 O C. 35 O D. 30
Answers
Answer:
Step-by-step explanation:
25% it means 1/4 of the total
1/4 of 80 is 20 (80/4=20)
answer B
BRAINLIEST! URGENT! I need help with this, the parabola is confusing me.
Answers
pls help I literally don’t get this
Answers
I need loads of help
Answers
Answer:
2 8c+3
Step-by-step explanation:
Answer:
8c+3
Step-by-step explanation:
for #2
X^2+3x+4=(x+a)^2+b what is A and B equal please help me
Answers
Answer:
a = 1.5, b = 1.75
Step-by-step explanation:
Expand the right side using FOIL, then compare the coefficients of like terms with the expression on the left side.
(x + a)² + b
= x² + 2ax + a² + b , then compare to
x² + 3x + 4
Comparing the coefficients of the x- terms
2a = 3 ( divide both sides by 2 )
a = 1.5
Comparing the constant terms
a² + b = 4
1.5² + b = 4
2.25 + b = 4 ( subtract 2.25 from both sides )
b = 1.75
pls help!!!
what would the answer be when it is in standard form.
Answers
I need help with this ASAP and can you explain so i can understand?!
Answers
Answer:
Adult tickets sold = 225
Student Tickets sold = 375
Step-by-step explanation:
Let:
Adult tickets sold = x
Student Tickets sold = y
Total tickets sold = 600
So, we can write: x+y = 600
Total money collected = 3037.50
Cost of 1 Adult ticket = $6.00
Cost of one Student ticket = $4.50
So, we can write: 6x+4.5y=3037.50
Now, we get a system of equations, that if solved we can find values of x and y
Let:
[tex]x+y = 600--eq(1)\\6x+4.5y=3037.50--eq(2)[/tex]
We can solve using substitution method.
Finding value of x from eq(1) and putting it in eq(2)
[tex]We\:have\\x+y=600\\x=600-y[/tex]
Put in eq(2)
[tex]6x+4.5y=3037.50\\6(600-y)+4.5y=3037.50\\3600-6y+4.5y=3037.50\\-1.5y=3037.50-3600\\-1.5y=-562.5\\y=\frac{-562.5}{-1.5}\\y=375[/tex]
So, we get value of y = 375
Now put value of y in eq(1) to find value of x
[tex]x+y=600\\Put\:y=375\\x+375=600\\x=600-375\\x=225[/tex]
So, we get value of x = 225
The Tickets sold will be:
Adult tickets sold = x = 225
Student Tickets sold = y = 375
Justin is training to run in a 5-mile race. To practice, he ran 15 miles in one week. How many yards did he run in that week?
Answers
Answer:
26,400
Step-by-step explanation:
What is the solution of the system of equations shown in the graph below?
Answers
Answer:
Answer is (-1,-2) As where 2 lines bisect, that point be the answer. And in given scenario, both the lines bisected at (-1,-2)
Step-by-step explanation:
expand and simplify (x-3)(2x+1)(3x-2)
Answers
Answer:
6x³ - 19x² + x + 6
General Formulas and Concepts:
Algebra I
Terms/CoefficientsExpand by FOIL (First Outside Inside Last)Step-by-step explanation:
Step 1: Define
(x - 3)(2x + 1)(3x - 2)
Step 2: Expand
Expand [FOIL]: (2x² + x - 6x - 3)(3x - 2)Combine like terms: (2x² - 5x - 3)(3x - 2)Expand: 6x³ - 15x² - 9x - 4x² + 10x + 6Combine like terms: 6x³ - 19x² + x + 6The sum of two positive integers, x and y, is not more than 40. The difference of the two integers is at least 20. Chaneece chooses x as the larger number and uses the inequalities y<=40-x and y<=x-20
Answers
Answer:
The value of x lies between 20 and 40 and value of y lies between -20 and 10
Step-by-step explanation:
We are given that
[tex]y\leq 40-x[/tex]....(1)
[tex]y\leq x-20[/tex]...(2)
First we convert inequality equation into equality equation to find the solution of the given system of inequality equation.
Therefore, we can write as
[tex]y=-x+40[/tex]...(3)
[tex]y=x-20[/tex]...(4)
Adding equation (3) and (4) we get
[tex]2y=20[/tex]
[tex]y=10[/tex]
Substitute y=10 in equation (3) we get
[tex]10=40-x[/tex]
[tex]x=40-10=30[/tex]
(30,10) is the intersect point of two equation.
Put x=0 in equation (3)
[tex]y=40[/tex]
Substitute y=0 in equation (3)
[tex]x=40[/tex]
Substitute x=0 in equation (4)
[tex]y=-20[/tex]
Substitute y=0 in equation (4)
[tex]x=20[/tex]
Substitute x=0 and y=40 and in equation (1)
[tex]40\leq 40[/tex]
Hence, the equation is true.Therefore, the shaded region below the line.
Substitute x=0 and y=-20 in equation (2)
[tex]-20\leq -20[/tex]
The equation is true. Hence, the shaded region is below the line.
Hence, the value of x lies between 20 and 40 and value of y lies between -20 and 10.
Answer: No, Chaneece mixed up the variables. The correct solution is that x must be between 20 and 40 and y must be between 0 and 20.
Step-by-step explanation:
Simplify the expression:
7(1 + 8v)
Answers
7 ( 1 + 8 )
simplify
1. rearrange terms
7(1 + 8v)
7(8v + 1)
2. Distribute
7(8v + 1)
56v + 7
Solution
56v + 7
A picture 10 feet long is to be centered on a wall that is 15 feet long, How much space is there from
the edge of the wall to the picture?
Answers
Answer:
2.5
Step-by-step explanation:
15-10=5
5/2=2.5
PLEASE HELP DUE TMRW!
A furniture company buys chairs at wholesale price of $48. They mark
up the price so they make a 30% profit. How much will one chair sell for?
Answers
Answer:
i dont know just trying to get pionts haha sorry rihana
Step-by-step explanation:
I don’t understand this
Answers
Answer:
your just finding area so
1.5×2.5=
1.5×1.5/2=
1.5×2.5=
I will put the answers in the comments I need to use a calculator
Answer:
Step-by-step explanation:
Think of it as two rectangles and one triangle.
The first rectangle is 1.5 * 2.5 = 3.75 square feet.
There is two of these rectangles, so you can do 3.75 *2 = 7.5 square feet.
Finally, the triangle is 1.5 by 1.5, so the area is 1.5 * 1.5 / 2 = 1.125.
To find the total area, add the two together: 7.5 + 1.125 = 8.625 square feet