Please help! Brainliest! How are the functions y = 2x2 and y = 2x2 + 7 related? How are their graphs related?
A. Each output for y = 2x2 + 7 is 7 less than the corresponding output of y = 2x2. The graph of y = 2x2 + 7 is the graph of y = 2x2 translated down 7 units.
B. Each output for y = 2x2 + 7 is 7 greater than the corresponding output of y = 2x2. The graph of y = 2x2 + 7 is the graph of y = 2x2 translated up 7 units.
Answers
Option B is correct.
We have the two equations -
[tex]y= 2x^{2}[/tex]
[tex]y=2x^{2} +7[/tex]
We have determine how are these functions related and how are their graphs related.
What type of conic section is represented by equation -y = [tex]$x^{2}[/tex] ?A parabola is represented by the equation y = [tex]$x^{2}[/tex].
According to the question, we have -
[tex]y= f(x) = 2x^{2}[/tex]
[tex]y=g(x)=2x^{2} +7[/tex]
Refer to the image attached for graphs.
Now -
g(x) - f(x) = [tex]2x^{2} +7-2x^{2}[/tex] = 7
Therefore - Each output for y = g(x) is greater than the corresponding output of y = f(x).
From the graph it is clear that the graph of y = g(x) is the graph of
y = f(x) translated up 7 units.
Hence, Option B is correct.
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Related Questions
Golving Linear Equation Application Problems
Content attribution
Use a Formula to Solve a Real World Application
Question
On Saturday morning, it took Jennifer 3.6 hours to drive to her mother's house for the weekend. On Sunday evening, due to
heavy traffic, it took Jennifer 4 hours to return home. Her speed was 5 mi/hr slower on Sunday than on Saturday. What was
her speed on Sunday? Do not include units in your answer.
Provide your answer below:
FEEDBACK
Answers
Answer:
Speed of Jennifer on Sunday [tex]=45[/tex] mi/hr
Step-by-step explanation:
Let speed of Jennifer on Saturday be x mi/hr
On Saturday morning, it took Jennifer 3.6 hours to drive to her mother's house for the weekend.
Distance travelled by Jennifer on Saturday = Speed × Time [tex]=3.6x[/tex] miles
Speed of Jennifer on Sunday = [tex](x-5)[/tex] mi/hr
On Sunday evening, due to heavy traffic, it took Jennifer 4 hours to return home.
Distance travelled by Jennifer on Sunday = Speed × Time [tex]=4(x-5)[/tex] miles
As distance is obviously same on both Saturday and Sunday,
[tex]3.6x=4(x-5)\\3.6x=4x-20\\20=4x-3.6x\\20=0.4x\\x=\frac{20}{0.4}\\ x=50[/tex]
Therefore,
Speed of Jennifer on Sunday = [tex](50-5)=45[/tex] mi/hr
FIRST TO ANSWER GETS BRAINLEIST! (Doing 5 more so check my recent :)
Answers
Oh hi, it's nice to meet you!
Answer:
35x+24=28x+45
Step-by-step explanation:
Jin’s soccer team has 4 coaches and 22 players, and his twin sister’s team has 2 coaches and 11 players. If the relationship between the number of players and coaches is proportional throughout the league, which ordered pair could represent the total number of coaches and players in the entire league?
x
y
2
11
4
22
24 coaches and 120 players
26 coaches and 143 players
28 coaches and 168 players
30 coaches and 180 players
Answers
Answer:
B :
26 coaches and 143 players
Step-by-step explanation:
Answer:
26 coaches and 143 players
Step-by-step explanation:
we can set up a proportion: [tex]\frac{coaches}{players}[/tex]
Our original proportions, 4/22 and 2/11 simplify to 2/11
We basically need a proportion that simplifies to 2/11, So let's simplify each proportion
24 coaches and 120 players: 24/120 simplified ⇒ 1/5
26 coaches and 143 players: 26/143 simplified ⇒ 2/11
28 coaches and 168 players: 28/168 simplified ⇒ 1/6
30 coaches and 180 players: 30/180 simplified ⇒ 1/6
The porportion, 26 coaches and 143 players simplifies to our orginal
proportion, 2/11, therefore it is proportional
Graph the line that passes through the points (3,7) and (-9, -1) and determine
the equation of the line.
Answers
Answer:
y=2/3+5
Step-by-step explanation:
Answer:
y=2/3+5
Step-by-step explanation:
What is the multiplicative inverse of 4 5/19
Answers
Answer:
The answer is 4 and 5 ii think Step-by-step explanation:
Use the literal equation m=5/4n-7 to find m when n =40
Help plz
Answers
Answer: 5/153
Step-by-step explanation:
Well, you'd just have to plug in 40 for n.
5/(40*4 - 7) = m
5/(160-7) = m
5/153 = m
An equation is formed of two equal expressions. As per the literal equation m=5/4n-7, the value of m when the value of n is 7 is 42.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The value of m from the given equation can be found by substituting the value of n as 7 in the given equation as shown below.
m = (5/4)n - 7
Substitute the value of n as 40,
m = (5/4)40 - 7
m = (5/1)10 - 7
m = 50 - 7
m = 42
Hence, as per the literal equation m=5/4n-7, the value of m when the value of n is 7 is 42.
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What is 9x+1=7x-9? Help, please :) thanks.
Answers
-7x. -7x
2x + 1 = -9
-1. -1
2x = -10
Divide by 2
x = -5
Helppp!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
I solved it and my answer is - 3
Answer:x=-3
Step-by-step explanation:
Simplify the top 3x-15/2 = 3(x-5)/2
What are some differences between linear equations and inequalities, specifically their solutions and the process of finding those solutions?
Answers
Answer:
difference between linear equations and inequalities is the solution set. A linear equation of two variables can have more than one solution. For instance, with x = 2_y_ + 3, (5, 1), then (3, 0) and (1, -1)
Step-by-step explanation:
, what is the radius of a circle with circumference 37.7 m?
Answers
Answer: r≈6
Step-by-step explanation: Using the formula
C=2πr
Solving forr
r=C
2π=37.7
2·π≈6.00014
Answer:
The radius is 6
Step-by-step explanation:
The circumference of a circle is equal to pi times the diameter. The diameter is two times the radius, so the equation for the circumference of a circle using the radius is two times pi times the radius
C=2πr
r=C
2π=37.7
2·π≈6.00014
Hope this helps!
-Jerc
Write 2 5/7 in radical form
Answers
Answer:
19/7
Step-by-step explanation:
{8} ⊆ {7,8,9} true or false
Answers
the answer is false
.....................................
Answer:
Homework #1-18: Answer yes or no, if no give the reason
1) Is A ⊆ B given A = silver, B = {gold, silver, diamond}
A is not a set, so it can’t be a proper subset.
Answer: no, because A is not a set
3) Is C ⊆ D given C = {Phoenix}, D = {Phoenix, Glendale, Peoria, Scottsdale}
I need two rules to work.
C is a set so rule 1 is satisfied.
Every element of C is also an element of D, so rule 2 is satisfied.
Answer: yes
5) Is A ⊆ B given A = {2,3} , B = {1,2,3,4,5}
I need two rules to work.
A is a set so rule 1 is satisfied.
Every element of A is also an element of B, so rule 2 is satisfied.
Answer: yes
7) Is A ⊆ B given A = a, B = {| }
A is not a set, so it can’t be a proper subset.
Answer: no, because A is not a set
9) Is A ⊆ B given A = { }, B = {1,2,3,4,5}
Answer yes: the empty set is a subset of every set.
11) Is S ⊂ T given, S= ∅, T = {1,2,3,4,5}
Answer yes: the empty set is a subset of every set.
13) Is A ⊂ B given A = {1,2,3}, B = {3,2,1}
This is not a true statement. The sets are equal and this symbol does not allow sets to be equal.
Answer: no, sets are equal
15) Is C ⊂ D given C = {1,2,3,4,5}, D = {1,2,3,4}
Answer: no, C is not contained in D, so this is not true
17) Is A ⊂ B given A = {4,3,2,1 }, B = {1,2,3,4,5}
A is a set so rule 1 is satisfied,
A is contained in B so rule 2 is satisfied
A is not equal to B so rule 3 is satisfied
Answer: yes (all 3 rules are satisfied)
Homework #19 – 34: Determine which of these are true. (Choose every answer that is true, in
many instances there will be more than one correct choice.)
A = B, A ⊆ B, B ⊆ A, A ⊂ B, B ⊂ A, or none of these
19) A = {Trix, Captain Crunch, Rice Krispees} B = {Rice Krispees}
B is contained, but not equal to A. B is both a subset and a proper subset of A.
A is not contained in B
The sets are not equal.
Answer: B ⊆ A, B ⊂ A
Step-by-step explanation:
here all of it
3 4 5 6
At what position on the number line is the red dot located?
A.
B.
C.
D.
Answers
Answer:
B
Step-by-step explanation:
because
what is y= -3/2x - 1/4 in standard form?
Answers
Answer:
6x+4y=-1
Hope this helps!! <3
I need help anyone??!
Answers
Answer:
$260.90
Step-by-step explanation:
32x5.32 = 170.24
20x2.79 = 55.80
3x7.5 = 22.50
170.24+55.8+22.5+12.36 = 260.90
How many 1
8-pound patties can she make from 7
8 of a pound of
hamburger?
Answers
1) The standard form of a linear equation is written as .
ax + by=c
a. Write the equation in slope-intercept form( y= mx + b)
b. Write the slope, y-intercept form of (a).
PLS HELP
Answers
Answer:
[tex]\displaystyle y=-\frac{a}{b}x+\frac{c}{b}[/tex]
Step-by-step explanation:
The equation of the line, expressed in slope-intercept form is:
[tex]y=mx+y_o[/tex]
Where m the slope and yo the y-intercept.
Since we are given the line in standard form:
ax+by=c
To find the slope-intercept form, we just solve it for y:
[tex]\boxed{\displaystyle y=-\frac{a}{b}x+\frac{c}{b}}[/tex]
Comparing the last equation with the slope-intercept form:
[tex]\displaystyle m=-\frac{a}{b}[/tex]
[tex]\displaystyle y_o=\frac{c}{b}[/tex]
Answer:
ax + by = c
-ax -ax
by=ax+c
then dived both sides by b to get y by itself
y= a/bx +c
Step-by-step explanation:
3+(4 times 5-2)+8 what’s the answer
Answers
Answer:
29
Step-by-step explanation:
Answer:
3+(4×5-2)+8
Step-by-step explanation:
3+(20-2)+8
3+18+8
21+8
29 Ans
Can Someone please help me.
Answers
Answer:
22.2 OR 222
Step-by-step explanation:
Ahh sorry if you get it wrong, I know it is one of the two but Im not sure which one.
Find AB in 3 significant figures
Answers
Answer:
14.0cm
Step-by-step explanation:
It turns out i need sum help help TOTTALY isnt cuz i dont wanna do it :')
10pnts
Answers
Answer: Multiply by 17 and simplify them.
Step-by-step explanation:
136 subtract 9 equals 127
The answer is 127.
my correlation coefficient for the linear model i created is 0.8. What does this mean?
Answers
The Smith family and the Jackson family are having their basements remodeled. the Smiths contractor charge $16.50 an hour plus $289 in supplies. the Jackson’s contractor charge is $18.75 an hour and $274.60 and supplies. at how many hours of work with the total cost be the same for both families
Answers
Answer:
6.4 hrs
Step-by-step explanation:
16.5h + 289 = 18.75h + 274.6
16.5h-18.75h = 274.6-289
-2.25h=-14.4
h=14.4/2.25
h=6.4 hrs
check
6.4×16.5=105.6
105.6+289=394.6
18.75×6.4=120
120+274.6=394.6
You usually buy 5.4 oz bottle of lotion. There is a new bottle that says it gives you 20%more free
Pictures are in here
Answers
(√16)2 in simplest form.
Answers
Airplanes are sometimes used to fight fires. A certain airplane can deliver 4 x 10 liters of water in one trip. How much water can this airplane deliver in 34
trips?
Write your answer in scientific notation.
Answers
Answer
1360
Step-by-step explanation:
4x10 is 40 so you'd have to multiply 40x34 which is 1360
136×10 is the amount of water used by the airplane to deliver 34
trips.
What is Multiplication?Multiplication is a method of finding the product of two or more numbers
Given that Airplanes are sometimes used to fight fires.
A certain airplane can deliver 4 x 10 liters of water in one trip.
We need to find how much water can the airplane deliver in 34
trips
Let us find the water used for one trip.
1 trip is 4 x 10 liters which is 40 litres.
Now we have to find for 34 trips.
We have to multiply 34 with 40 litres
34×40
Thirty four times forty
1360
Now we have to convert it to the scientific notation 136×10
Hence, 136×10 is the amount of water used by the airplane to deliver 34
trips.
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Find the value of x?
Answers
Answer:
In algebra, it is easy to find the third value when two values are given. Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side.
Explanation:
x + 68.5 + 49.5 = 180 (sum of angle in a triangle)
x + 118 = 180
x = 180 - 118
x = 62
x =
Expression that represent -4 and 6
Answers
What is the domain of f?
Answers
Answer:
The answer would be B
Step-by-step explanation:
a rectangular ground is 40m long 35m board 2m path is constructed inside it find its area
Answers
Answer:
2800
Step-by-step explanation:
solution:
here,
length=40 meter
Breadth=35 meter
height=2meter
area=?
we have,
A=l×b×h
=40×35×2
=2800 ans.