Consider the function f(x) = |x|. Let g(x) = |–4(x – 7)|.
Which shows the graphs of f(x) and g(x)?
A.) On a coordinate plane, y = g (x) opens up and goes through (negative 3, 4), has a vertex at (negative 2, 0) and goes through (0, 7). Y = f (x) opens up and goes through (negative 4, 4), has a vertex at (0, 0), and goes through (4, 4).
B.) On a coordinate plane, y = g (x) opens up and goes through (6, 4), has a vertex at (7, 0) and goes through (8, 4). Y = f (x) opens up and goes through (negative 4, 4), has a vertex at (0, 0), and goes through (4, 4).
C.) On a coordinate plane, y = g (x) opens down and goes through (6, negative 4), has a vertex at (7, 0) and goes through (8, negative 4). Y = f (x) opens up and goes through (negative 4, 4), has a vertex at (0, 0), and goes through (4, 4).
D.) On a coordinate plane, y = g (x) opens up and goes through (negative 8, 4), has a vertex at (negative 7, 0) and goes through (negative 6, 4). Y = f (x) opens up and goes through (negative 4, 4), has a vertex at (0, 0), and goes through (4, 4).
Answers
Answer:
B
Step-by-step explanation:
On edge 2020
The graph of absolute value function f(x) and g(x) are:
On a coordinate plane, y = g (x) opens up and goes through (6, 4), has a vertex at (7, 0) and goes through (8, 4). Y = f (x) opens up and goes through (negative 4, 4), has a vertex at (0, 0), and goes through (4, 4).
The correct answer is an option (B)
What is an absolute value function?"A function of the form f(t) = |t| ."
What is a graph of a function?"It is a set of points on the coordinate plane that follows given function."
For given question,
We have been given an absolute value function f(x) = |x|
and absolute value function g(x) = |-4(x - 7)|
The graph of f(x) = |x| is like a 'V', with its vertex at (0, 0).
Y = f (x) opens up and goes through (-4, 4), has a vertex at (0, 0), and goes through (4, 4)
Consider absolute value function, h(x) = |x - 7|
A function h(x) is the function f(x) is translated horizontally 7 units right.
The graph of h(x) = |x - 7| is like a 'V', with its vertex at (7, 0).
Now consider absolute value function g(x) = |-4(x - 7)|
A function g(x) is the function h(x) is compressed inside by factor 4.
So, the graph of y = g (x) opens up and goes through (6, 4), has a vertex at (7, 0) and goes through (8, 4).
Therefore, the graph of absolute value function f(x) and g(x) are:
On a coordinate plane, y = g (x) opens up and goes through (6, 4), has a vertex at (7, 0) and goes through (8, 4). Y = f (x) opens up and goes through (negative 4, 4), has a vertex at (0, 0), and goes through (4, 4).
The correct answer is an option (B)
Learn more about an absolute value function here:
https://brainly.com/question/10664936
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Related Questions
Im confused on this can someone help me out
Answers
Xander spends most of his time with his 10 closest friends. He has known 4 of his 10 friends since kindergarten. If he is going to see a movie tonight with 3 of his 10 closest friends, what is the probability that the first 2 of the friends to show up to the movie are friends he has known since kindergarten but the third is not?
1/30
9/125
12/125
1/10
Answers
Answer:
The answer correct answer is 1/30
Step-by-step explanation:
Answer:
1/30
Step-by-step explanation:
Solve for x please help me out
Answers
Answer: x=5, choice D
Step-by-step explanation:
you have two vertical angles
11x=55
55/11=5
x=5
Hi, I still have to struggle with this and it's due later today! If someone could show me how to do it I will make you're a brain list and give you 28 points I need help w part C to E. I would appreciate it.
Answers
Answer:
C) Explain how the equations are equal and just prove it with a check or just plug in a number like for ex: x=1 and I checked with both and it equals out.
d) Use inverse operations (or you can say do the order of operations in reverse and then use invers operations), provide an example if you think what you said doesn’t make sense, like for
Ex: 2x-1=43+5x
2x=44+5x (add the -1)
-3x=44 (subtract 5x to both sides)
X=44/-3 (isolate the variable by dividing 3 on both sides)
An example is always better
E) Just use inverse operations and solve it like what you would normally do
I hope I helped
80 points
which of the following points are the first quadrant of the XY-plane ? (there’s more than one answer!)
pls help!
picture to help
Answers
Answer:
A and c
Step-by-step explanation:
Answer and Step-by-step explanation:
This is the first quadrant. ^
|
|
Q2 | Q1
|
|
|
<--------------------------------------------------|------------------------------------------------------->
|
|
|
Q3 | Q4
|
|
V
So, anything in the first quadrant would be positive (for both values of x and y).
That means E and F are the correct choices, since both (4, 8) and (2, 2) are positive and would be found in the first quadrant.
#teamtrees #WAP (Water And Plant)
44 is 2 thirds of a number, what is the number?
Answers
Answer:
The number is 66
Step-by-step explanation:
Since 44 is two thirds of a number, 44/x = 2/3
If you multiply the numerator and denominator of 2/3 by 22, you get 44/66
Since 44/x = 44/66,
x=66
If 44 is 2 thirds of a number, then the number is 77.
We can solve this problem by setting up the following equation:
2/3 * x = 44
Where x is the unknown number.
To solve for x, we can multiply both sides of the equation by 3/2. This gives us the following equation:
x = 44 * (3/2)
Simplifying the right side of the equation, we get x = 77.
Therefore, the number is 77.
Here is the solution in more detail:
Define the variables.
x: The unknown number.
Set up the equation.
We know that 2/3 of the number is 44, so we can set up the equation 2/3 * x = 44.
Solve for x.
To solve for x, we can multiply both sides of the equation by 3/2. This gives us the equation x = 44 * (3/2).
Simplifying the right side of the equation, we get x = 77.
The answer.
Therefore, the number is 77.
To learn more about number here:
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3 lines are shown. A line with points T, R, W intersects a line with points S, R, W at point R. Another line extends from point R to point U between angle T, R, V. Angle V R W is (3 x) degrees and angle T R S is (2 x + 18) degrees.
What is m∠SRW?
18
54
126
108
Answers
Given:
Consider the three point of second line are S, R, V instead of S, R, W.
A line with points T, R, W intersects a line with points S, R, V at point R. Another line extends from point R to point U between angle T, R, V.
[tex]\angle VRW=(3x)^\circ[/tex]
[tex]\angle TRS=(2x+18)^\circ[/tex]
To find:
The m∠SRW.
Solution:
The figure according to the given information is shown below (not to scale).
From the below figure it is clear that, [tex]\angle VRW[/tex] and [tex]\angle TRS[/tex] are vertically opposite angles. So, their measures are equal.
[tex]3x=2x+18[/tex]
Subtract 2x from both sides.
[tex]3x-2x=18[/tex]
[tex]x=18[/tex]
Using x=18 the measure of angle VRW is
[tex]\angle VRW=(3x)^\circ[/tex]
[tex]\angle VRW=(3\times 18)^\circ[/tex]
[tex]\angle VRW=54^\circ[/tex]
Now,
[tex]\angle VRW+\angle SRW=180^\circ[/tex] [Linear pair]
[tex]54^\circ+\angle SRW=180^\circ[/tex]
[tex]\angle SRW=180^\circ-54^\circ[/tex]
[tex]\angle SRW=126^\circ[/tex]
Therefore, the correct option is C.
Answer:
126
Step-by-step explanation:
i just got the right answer
F
is directly proportional to
a
.
If
F
=
24
when
a
=
8
find,
F
when
a
=
6
Answers
Answer:
F=6*24/8.....F=6*3=18
One yard is approximately 0.91 meter. Write a direct variation equation that relates x yards to y meters.
Answers
Answer:
x=(y .91)
Step-by-step explanation:
1 yard means only 1 x
.91 meters which is y
Find the third side in simplest radical
form:
3
5
Answers
Answer:
4?
Step-by-step explanation:
2/8 is considered a real number. True or false.
Answers
Answer:
true
Step-by-step explanation:
Answer:
true
Step-by-step explanation:
2/8
÷2
1/4
1/4=0.25
1/8=0.25
A hot air balloon is dropping from a height above the ground at a steady rate of 8 feet per second. It starts from a height of 765 feet. After t-seconds it has hit a height of 421 feet. Set up and solve an equation for the value of t.
Answers
if you can buy three loaves of bread for $5 how many loaves can you buy with $12.
Answers
Answer:
45
Step-by-step explanation:
Find the product of 6/7•5/7
Answers
Hey there!
The word “product” simply means the result of a multiplication equation
MULTIPLY the NUMERATORS (TOP numbers) from each other and also MULTIPLY the DENOMINATORS (BOTTOM number) from each other
6(5) / 7(7) = ?
6(5) = 30 ⬅️ NUMERATOR
7(7) = 49 ⬅️ DENOMINATOR
Possible ANSWER: 30/49
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
If I get $18 (USD) every 2 weeks and I start with $45.01 how many weeks will it take to get to $130.17?
Answers
pleeeese help. the question is easy
Answers
Answer:
the answer is : -2x^2+13
Step-by-step explanation:
pls mark brainliest plspls
oh and btw hows ur day been going, hope good, make sure to not forget to drink water :)
evaluate-a-function f(x) = [tex]\frac{x}{7}[/tex] f(7) =
Answers
Step-by-step explanation:
Hey there!
f(x) = 7/x
~ Simply keep the "7" in the place where "x" is there.
[tex]f(7) = \frac{7}{7} [/tex]
Therefore, X= 1.
Hope it helps....
Answer:
After evaluating the function [tex]f(x)=\frac{x}{7}[/tex] by putting x = 7, we get f(7)= 1
Step-by-step explanation:
We need to evaluate the function [tex]f(x)=\frac{x}{7}[/tex] and find f(7)
For finding f(7) we will put x = 7 in the given function [tex]f(x)=\frac{x}{7}[/tex]
So, putting x= 7 and finding f(7)
[tex]f(x)=\frac{x}{7}\\Put\:x=7\\f(7)=\frac{7}{7}\\f(7)=1[/tex]
So, after evaluating the function [tex]f(x)=\frac{x}{7}[/tex] by putting x = 7, we get f(7)= 1
Sara says, "If you subtract 14 from my number and multiply the difference by - 4, the result is - 44."
What is Sara's number?
Answers
Answer: I believe that the answer would be 25.
Step-by-step explanation:
HOPE IT HELPS :)
Is -8 a solution to the equation 8x +2=3x + 13
Answers
Answer:
No.
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
8x + 2 = 3x + 13
Step 2: Solve for x
Subtract 3x on both sides: 5x + 2 = 13Subtract 2 on both sides: 5x = 11Divide 5 on both sides: x = 11/5please help me!! :)
Answers
Answer:
C is your answer
Step-by-step explanation:
It takes one pizza to feed three people. How many pizzas will it take to feed forty-eight people?
Answers
Answer:
option 3-- 16 pizzas
Step-by-step explanation:
divide 48 by 3 = 16
Answer:
16 pizzas will feed 48 people
Step-by-step explanation:
If 1 pizza feeds 3 people it will take 16 pizzas to feed 48.
48/3=16
simplify the expression 3 √ 2 - 5 √ 18
Answers
(mark brainliest if correct plss)
The area of a square is 100 square centimeters.
What is its perimeter?
OA. 40 centimeters
OB. 50 centimeters
OC. 80 centimeters
OD. 100 centimeters
OE. 400 centimeters
Answers
Answer:
answer choice a
Step-by-step explanation:
..............
A surfboard was originally priced at $199. The store reduced the price by 10%. A customer bought the surfboard using a coupon for $20 off. How many dollars did the customer pay?
Answers
Answer:
$159.1
Step-by-step explanation:
Given that:
Original price of surfboard = $199
Reduction of price done = 10%
Then a coupon is used by a customer for $20 off.
To find:
How many dollars were paid by the customer?
Solution:
First of all, let us find the price after the reduction of 10% from the original price.
10% of $199 = [tex]\frac{10}{100}\times 199 = \$19.9[/tex]
This price is reduced from the original price.
Price after reduction = $199 - $19.9 = $179.1
Now, again there is coupon of $20.
Therefore, final price that the customer had to pay = $179.1 - $20 = $159.1
Find the 93rd term of the arithmetic sequence -5, -15, -25, ...−5,−15,−25,...
Answers
Answer:
The nth term will be:
[tex]a_{93}=-925[/tex]Step-by-step explanation:
Given the sequence
-5, -15, -25, ...
An arithmetic sequence has a constant difference 'd' and is defined by
[tex]a_n=a_1+\left(n-1\right)d[/tex]
computing the differences of all the adjacent terms
[tex]-15-\left(-5\right)=-10,\:\quad \:-25-\left(-15\right)=-10[/tex]
The difference between all the adjacent terms is the same and equal to
[tex]d=-10[/tex]
The first element of the sequence is:
[tex]a_1=-5[/tex]
Thus, the nth term will be:
[tex]a_n=a_1+\left(n-1\right)d[/tex]
substituting the values [tex]d=-10[/tex]; [tex]a_1=-5[/tex]
[tex]a_n=-10\left(n-1\right)-5[/tex]
[tex]a_n=-10n+5[/tex]
Plug in n = 93 to determine the nth term
[tex]a_{93}=-10\left(93\right)+5[/tex]
[tex]a_{93}=-930+5[/tex]
[tex]a_{93}=-925[/tex]
Therefore, the nth term will be:
[tex]a_{93}=-925[/tex]give an example of infinite solution
Answers
Answer:
?
Step-by-step explanation:
3=3
Romb ma obwód równy 32 cm. Jakie jest pole tego rombu, jeżeli jego wysokość ma 3 cm?
Answers
Answer:
24 cm²
Step-by-step explanation:
Z zadanego powyżej pytania uzyskano następujące dane:
Obwód (obwód) = 32 cm
Wysokość (h) = 3 cm
Obszar rombu (A) =?
Następnie określimy długość boku rombu. Można to uzyskać w następujący sposób:
Obwód, czyli obwód (P) = 32 cm
Strona (y) =?
P = 4 s
32 = 4 s
Podziel obie strony przez 4
s = 32/4
s = 8 cm
Stąd długość boku rombu wynosi 8 cm
Na koniec określimy obszar rombu w następujący sposób:
Długość boków = 8 cm
Wysokość (h) = 3 cm
Obszar rombu (A) =?
A = sh
A = 8 × 3
A = 24 cm²
Dlatego obszar rombu jest
24 cm².
Plz help me my maths hw is due in a couple of hrs!!!
Answers
Have agreat day
Jason was hired to mow a lawn that covers an area of 2 3/4 acres. It took him 4 1/8 hours to complete the job. What was his unit rate in hours per acre?
In this activity, you will multiply the numerator in a complex fraction by the reciprocal of the denominator to calculate a unit rate involving fractions. Answer the questions below to calculate Jason’s unit rate as he mowed.
Answers
Answer:
2 3/4 = 11/4
4 1/8 = 33/8
11/4 / 33/8 = 11/4 * 8/33 = 88/132 = 2/3
He mowed 2/3 of an acre per hour
Step-by-step explanation:
PLEASE HELP ME OUT I NEED THIS BY TONIGHT!!!!
You buy one can of Red Bull for $2 and x bags of Skittles. Write an equation to model the total cost, y, of one can of Red Bull for $2 and x bags of Skittles. Next, what is the total cost if you buy 4 bags of Skittles?
Answers
Answer:
y = x + 2
Step-by-step explanation:
The total cost if you buy 4 bags of Skittles is $6.