Which translation maps the vertex of the graph of the function f(x) = x2 onto the vertex of the function g(x) = –8x + x2 + 7 ?
left 4, down 9
left 4, up 23
right 4, down 9<<<<<<< CORRECT
right 4, up 23
The translation should be right 4 units and down 9 units.
Which translation should we use?
First, we need to find the vertices of both functions.
for f(x) = x^2 the vertex is at (0, 0), as we already know.
For g(x) = -8x + x^2 + 7 the x-value of the vertex is at:
x = -(-8)/(2*1) = 4
Evaluating g(x) at x = 4 we get:
g(4) = -8*4 + 4*4 + 7 = -9
So the vertex is at (4, -9).
To go from (0, 0) to (4, -9) we need to move right 4 units and down 9 units, so the correct option is the third one.
If you want to learn more about translations, you can read:
https://brainly.com/question/24850937
What is the volume of this cylinder? Use 3.14 and round your answer to the nearest hundredth. the diameter is 16 cm and the height is 20 cm
Find the area of the base [tex]A=64\pi[/tex].
Multiply area of the base by height to get volume
[tex]V=20\cdot64\pi=4021.24[/tex]
Hope this helps.
Assume that in the year 2019, 843,000 people attended the Christmas Eve celebration at Walt Disney World
In 2020, attendance for the Christmas Eve celebration is expected to increase by 35%. What is the total
number of people expected at Walt Disney World for this event?
Total number of people
Expected at Walt Disney world for this event
Answer:
1138050
Step-by-step explanation:
Multiply 843,000 by 0.35 and then add the numbers together.
Please mark brainliest
8.
Tom works 1 3/4 hours a day at a café. He is paid $8 an hour. How much
money is he paid in 10 days?
Answer:
1 3/4 x 8 = 14. In 10 days, he will be paid the amount of one day x 10. 14 x 10 = 140. Tom will be paid $140 in 10 days
Step-by-step explanation:
What value makes x + 4 and 5x equivalent?
Answer:
1..............................
130° 20 C = degrees.
Answer:
hold on im trying to solve it
Step-by-step explanation:
Answer:
65
Step-by-step explanation:
2(65) = 130
180-130 = 65
hope this helps plz mark brainliest!
For what value of x do the expressions 2x +3 and 3x -6 have the same value?
Answer:
9
Step-by-step explanation:
2x+3=3x-6
3+6=3x-2x
9=x
Answer:
x= 9
Step-by-step explanation:
hello :
2x +3 = 3x -6
2x-3x=-6-3
-x= -9
so : x= 9
Write these decimals in order from least to greatest.
0.6 0.8 0.55 0.125 0.875
Then explain how you know.
Answer:
0.125, 0.55, 0.6, 0.8, 0.875
Question
A deck of cards contains RED cards numbered 1,2 and BLUE cards numbered 1,2,3,4,5. Let R be the event of drawing a red card, B the event of drawing a blue card, E the event of drawing an even numbered card, and O the event of drawing an odd card.
Drawing the Blue 2 is an example of which of the following events? Select all correct answers.
Select all that apply:
E′
R OR O
R AND E
B OR O
B AND E
R′
Answer:
I want to say it would be B and E because your drawing a blue 2, 2 is an even number first of all secondly its a blue card and B is the event of drawing a blue card In conclusion i believe its B and E
Step-by-step explanation:
Which best represents the inequality?
Answer:
i think C
Step-by-step explanation:
What is 4 x 1 1/2 x 2
Answer:
Step-by-step explanation:
4×1½×2 = 4×3 = 12
Please do all of the attachments, quick. It is due please
First one with the right answer gets brainlest, and I will give extra points please.
Please Helppplpppppp
Can someone please help me with this problem?
9514 1404 393
Answer:
0, 1, 2, 3
Step-by-step explanation:
The set of absolute values of integers is the set of non-negative integers. The four smallest values of the set are ...
0, 1, 2, 3
I will give you Brianlyist
Answer:
what do you need help with?
Step-by-step explanation:
**you will get a real answer i promise**:)
Answer:
I don't understand the problem
OK SOMEONE PEASE AWSNWER THISD
Martha drew a triangle with angle measures 60°, 60°, and 60°, and side lengths 6 cm, 6 cm, and 6 cm. What kind of triangle did Martha draw?
A. acute, equilateral
B. acute, scalene
C. right, isosceles
D. obtuse, scalene
Answer:
A
Step-by-step explanation:
hryhrhdvshzhsbdyxhdbdhxhbd
Answer:
A
Step-by-step explanation:
i dunno but its right! stay safe stay healthy <3
pls help im confused im not smart
2x-3(x-1)=-1 solve by substitution
Answer:
-x+3
Step-by-step explanation:
Distribute -3:
2x-3x+3
Collect like terms:
-x+3
1
2
b= 2 in.; c= 6 in.
A= sq. in.
Please help mark brainliest and big points
Answer:
I believe the answer is 5.657 square inches.
Step-by-step explanation:
Solve for x. (TYPE ONLY THE NUMBER FOR YOUR ANSWER).
9514 1404 393
Answer:
x = 7
Step-by-step explanation:
The sum of angle measures in a quadrilateral is 360°.
(8x-5)° +107° +83° +119° = 360°
8x = 56 . . . . . . . divide by °, subtract 304
x = 7 . . . . . . . . . . divide by 8
The prices of houses in the US are strongly skewed to the right with a mean of $383,500 and a standard deviation of $289,321. A real estate agent takes a random sample of 10 houses and records the mean price. What is the shape of the distribution of the sample mean for all possible random samples of size 10 from this population?
Answer:
strongly skewed right
Step-by-step explanation:
since the sample size is under 30, it will remain skewed right.
The shape of the distribution of the sample mean for all possible random samples of size 10 from this population is strongly skewed right.
What is sampling?It should be noted that sampling simply means the selection process from a particular population.
In this case, the shape of the distribution of the sample mean for all possible random samples of size 10 from this population is strongly skewed right. This is because the sample size is under 30.
Learn more about sampling on:
https://brainly.com/question/24466382
Math Question for 50 points please help
Answer:
BStep-by-step explanation:
Your answer is B.
⚠︎ I HOPE YOU ARE DOING WELL ☻︎
HAVE A FANTASTIC DAY ꨄ︎
Answer:
The answer is B
Step-by-step explanation:
Its different from all the others
The domain of f(x)=cosx
must be restricted to all real numbers in order for the function to have an inverse function. The domain of g(x)=arccos(x)
is −1≤x≤1
and its range is 0≤x≤π
.
is this correct ?
Answer:
Not completely sure for the rest, but I believe the range is incorrect: the range represents y-values, not x-values.
So it should be 0 ≤ y ≤ π
A serviceman with two children has monthly salary of Rs 22800. He has got tax free
allowance up to Rs 200000 and allowance of Rs 1500 for each child. 10% of his monthly salary is deposited in provident fund every month which is also tax free. 15% tax is levied on the taxable income up to Rs 50000 and 25% for the rest. How much tax should he pay in a year?
Answer:
answer below :) hope this helps!
Step-by-step explanation:
Amount invested in Civil investment fund= 10% of 96000 = [tex]\frac{10}{100}[/tex] x 96000 = 10 x 960= 9600
remaing taxable amount = =96000 -(75000+9600)
= 96000 - 84600
= Rs. 11400
Tax = 15% of 11400
= [tex]\frac{15}{100}[/tex] x 11400 = 15 x 114 = 1710
again, i hope this helps :)
Determine whether the sequence is geometric. If so, find the common ratio. 3.0, 6.0, 12.0, 24.0
Answer:
The sequence is geometric and the common ratio is 2
Step-by-step explanation:
A sequence is geometric if each term (after the first one) is equal to the term before it times some constant number, called the 'common ratio'.
Examples: 1, 2, 4, 8, 16, ... has a common ratio of 2 because 2*2 = 4, and 4*2 = 8, and so on.
Also, --> 4, 2, 1, 1/2, 1/4/ 1/8, ... has a common ratio of 1/2 because
4 * 1/2 = the next term 2, and 2 * 1/2 = the next trem 1/4, and son on.
In this case, 3 * 2 = 6
6 * 2 = 12
12 * 2 = 24
The sequence is geometric and the common ratio is 2
Amanda went to the store to purchase ink pens. She found three kinds of pens. The first cost $4 each; the price of the second kind was 4 for $1; and the cost for the third kind was 2 for $1. She bought 20 pens and she bought at least one of each kind. (It is possible to buy only 1 of the pens that are "4 for $1" or "2 for $1".) The cost was $20. When she got back to her office, Amanda decided to turn this into a math problem for me. She asked: how many of each kind did I buy?
Answer:
Amanda buy first kind of pen = 3
Amanda buy second kind of pen = 2
Amanda buy third kind of pen = 15
Step-by-step explanation:
Given - Amanda went to the store to purchase ink pens. She found three
kinds of pens. The first cost $4 each; the price of the second kind
was 4 for $1; and the cost for the third kind was 2 for $1. She bought
20 pens and she bought at least one of each kind. (It is possible to
buy only 1 of the pens that are "4 for $1" or "2 for $1".) The cost was
$20.
To find - When she got back to her office, Amanda decided to turn this into
a math problem for me. She asked: how many of each kind did I
buy?
Proof -
Let Amanda buy first kind of pen = x
second kind of pen = y
third kind of pen = z
As given,
She bought total pen = 20
⇒x + y + z = 20 ...............(1)
Now,
As given,
cost for first kind pen = $4 for 1 pen
As she bought x pens of first kind , so
Cost of x pens of first kind = $4x
Now,
The price of the second kind was 4 for $1
⇒Cost of second kind = $[tex]\frac{1}{4}[/tex] for 1 pen
As she bought y pens of send kind , so
Cost of y pens of second kind = $[tex]\frac{1}{4}y[/tex]
Now,
The price of the third kind was 2 for $1
⇒Cost of third kind = $[tex]\frac{1}{2}[/tex] for 1 pen
As she bought z pens of send kind , so
Cost of z pens of third kind = $[tex]\frac{1}{2}z[/tex]
Now,
As given, The cost was $20
⇒4x + [tex]\frac{1}{4}y[/tex] + [tex]\frac{1}{2}z[/tex] = 20
⇒16x + y + 2z = 80 .....................(2)
∴ we get 2 equations
x + y + z = 20 .....................(1)
16x + y + 2z = 80 .....................(2)
Now,
Subtract equation (1) from equation (2) , we get
16x + y + 2z - ( x+ y + z )= 80 - 20
⇒16x + y + 2z - x - y - z = 60
⇒15x + z = 60
⇒z = 60 - 15x
Now,
Put the value of z in equation (1) , we get
x + y + 60 - 15 x = 20
⇒ y - 14x = 20 - 60
⇒y - 14x = -40
⇒14x - y = 40
⇒y = 14x - 40
Now,
we get
z = 60 - 15x
y = 14x - 40
As given
she bought at least one of each kind
it means x > 1, y > 1, z > 1
Now,
If x = 1, then y = 14 - 40 = -26
Not possible
If x = 2 , then y = 14(2) - 40 = -12
Not possible
If x = 3, then y = 14(3) - 40 = 2 and z = 60 - 15(3) = 15
Possible.
If x = 4, then y = 14(4) - 40 = 16 and z = 60 - 15(4) = 0
Not Possible.
If x = 5, then y = 14(5) - 40 = 30 and z = 60 - 15(5) = -15
Not Possible.
∴ we get
x = 3, y = 2, z = 15
Amanda buy first kind of pen = x = 3
Amanda buy second kind of pen = y = 2
Amanda buy third kind of pen = z = 15
Create a system of equations
Janet is 5 years older than her brother David. The sum of their ages is 27. How old are Janet and David
Answer with steps please
Answer:
Answer: Janet is 16, and David is 11.
Step-by-step explanation:
Let the ages be j and d.
j = d + 5
j + d = 27
Substitute d + 5 for j in the second equation.
d + 5 + d = 27
2d + 5 = 27
2d = 22
d = 11
Substitute 11 for d in the first equation.
j = d + 5
j = 11 + 5
j = 16
Answer: Janet is 16, and David is 11.
find 2 solutions to -x>10
Answer and Step-by-step explanation:
x < -10
All real numbers that are less than -10.
(-∞, -10)
#teamtrees #WAP (Water And Plant)
evaluate the expression 8 ÷ t when t= 4
A community center offers yoga classes for $8 per month plus an additional $0.25 per center floor mat used.Write an equation to express this relationship, using m to represent the number of mats used per month and C to represent the total cost in dollars.
(8*P) + (0.25*m)=C
P = People
Answer:
Step-by-step explanation:
A community center offers yoga classes for $8 per month plus an additional $0.25 per center floor mat used.Write an equation to express this relationship, using m to represent the number of mats used per month and C to represent the total cost in dollars.
George, Arianna, and Carlos are going to mow the baseball field with push
mowers. By themselves, George can mow the field in 5 hours, Arianna
can mow the field in 6 hours, and Carlos can mow the field in 3 hours. If
the game is in 2 hours, can they get the field mowed in time?
Answer: Yes, they will have it mowed in 1 hour and 18 minutes
Step-by-step explanation: