What is the equation of y=x^3 with the given transformations? Vertical compression by a factor of 1/7 ,horizontal shift 8 units to the left, reflection across the x axis
Answer:
y = (1/7)(x + 8)³
Step-by-step explanation:
We are given the function; y = x³
There is a vertical compression by a factor of 1/7 which means that we now have the function as;
y = (1/7)x³
We are told that it shifts by 8 units to the left. This means we will have;
f(x + 8)
This gives;
y = (1/7)(x + 8)³
The transformed equation of [tex]y=x^{3}[/tex] is [tex]y=-\frac{1}{7} (x+8)^{3}[/tex].
Given equation:- [tex]y=x^{3}[/tex]
Applying the given transformations, we have:
To have a vertical compression by a factor of [tex]\frac{1}{7}[/tex], we need to multiply the function by [tex]\frac{1}{7}[/tex]. So, we have:
[tex]y=\frac{1}{7} x^{3}[/tex]
To have a horizontal shift by 8 units to the left, we need to add 8 to x. So, we have:
[tex]y=\frac{1}{7} (x+8)^{3}[/tex]
Lastly, to have a reflection over the x-axis, we need to multiply the function by −1. So, we have:
[tex]y=-\frac{1}{7} (x+8)^{3}[/tex]
Therefore, the transformed equation is [tex]y=-\frac{1}{7} (x+8)^{3}[/tex]
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Camille's kitchen has an area of 80 square feet. The kitchen is 8 times as many square feet as Camille's pantry. If the pantry is 2 feet wide, what is the length of the pantry? First find the area of the pantry. Solve on paper and check you answer on Zearn. The area of the pantry is square ft.
Answer:
Length of the pantry = 5 feet
Step-by-step explanation:
Camille's kitchen has an area of 80 square feet. The kitchen is 8 times as many square feet as Camille's pantry.
Step 1
Area of Camille's kitchen = 8(Area of Camille's pantry)
Area of Camilla kitchen = 80 square feet
80 square feet = 8(Area of Camille's pantry)
Area of Camille's pantry = 80 square feet/8
Therefore:
Area of Camille's pantry = 10 square feet
Step 2
If the pantry is 2 feet wide, what is the length of the pantry?
The shape of the pantry is rectangular hence:
The area of the pantry = Length × Width
Area of the pantry = 10 square feet
Width = 2 feet
Length = Area of the pantry/Width
Length = 10 square feet/2 feet
Length = 5 feet
The cost of 6 movie tickets is $57.00. What is the cost of 8 movie tickets?
$59.00
$63.00
$65.00
$76.00
Answer: $76.00
Step-by-step explanation: 57 divided by 6 is 9.5 . Now 9.5 X 8 = 76
Please help me due in 10 minutes
Answer:
10.5 peices!
Step-by-step explanation:
7 divided by 2/3
Answer:
10 1/2
Step-by-step explanation:
you just need to divide 7 by 2/3
Angle B and angle C are complementary angles. If the measure of angle B is two
more than three times the measure angle C, find the measure of each angle.
X=
Angle B=
Angle C=
Answer:
The measure of angle B is 68° and the measure of angle C is 22°
I need help with this I am stuck!!!
Answer:
10,1 and 1,11
Step-by-step explanation:
I'm guessing at what outliers are
ANSWER QUICK PLEASE!!!!!
Answer:
10
Step-by-step explanation:
Answer:
The answer would be 10
Step-by-step explanation:
First, you need to turn the mixed number to an improper fraction.
do keep, change flip
(Keep the first number, change the division sign to multiplication sign, flip the last fraction)
New problem, 12/1*5/6
12 times 5=60
1 times 6=6
60 divided by 6
Hope I helped!! :)
Brainliest?!
HELP HELP HELP I WILL GIVE BRAINLIEST
NO B.S. ANSWERS PLEASE
what is the correct statement? pls hurry only have 5 minutes
Answer:
B. CT+TA=RM+MA
Step-by-step explanation:
The measure of the vertex angle of an isosceles triangle is 64 what is the measure of each base angle
Answer:
58
Step-by-step explanation:
For every triangle, all angles add up to 180. So you have to subtract 64 from 180 which gives you 116. You then take that number and divide it by two because there are two base angles, which gives you 58. The answer is 58.
To measure the distance, a an Engineer locates points A, B, C, D, and E as shown. What is the length of DB to the nearest meter?
A graph titled velocity versus time has horizontal axis time (seconds) and vertical axis velocity (meters per second). A line has 4 straight segments. Line segment A runs from 0 seconds 0 meters per second to 1 seconds 15 meters per second. Then segment B runs to 2 seconds 20 meters per second. Then segment C runs to 4 seconds 20 meters per second. Then segment D runs to 5 seconds 0 meters per second.
The acceleration of segment D is
m/s2.
Rank segments A, B, and C from least acceleration to greatest acceleration.
Least:
Greatest:
Answer:
the anwser is C
Step-by-step explanation:
i just got it right like 5 seconds ago
Answer:
its A C E
Step-by-step explanation:
Find the slope given the following ordered pairs
(6, 20), (5, -18)
Slope is 38
explanation:
(6,20),(5,-18)
-18 - 20 = -38
5 - 6= -1
simplify
38/1 = 38
Solve the equation.
s/2 = 2.5
A
12.5
B
5
C
50
D
10
Answe
um
Step-by-step explanation:
What is the equation of the line that passes through the points (-2,3) and (1,9)?
Answer:
Solution given:
(x1,y1)=(-2,3)
(x2,y2)=(1,9)
we have
equation of line
(y-y1)=[tex] \frac{y2-y1}{x2-x1} [/tex](x-x1)
(y-3)=[tex] \frac{9-3}{1+2} [/tex](x+2)
y-3=2x+4
2x-y+4+3=0
2x-y+7=0;is a required equation.
What number is missing in the pattern?
324 108 ___ 12 4
Answer:
36 is missing.
Step-by-step explanation:
multiply 4 by 3, you get 12
12 by 3 you get 36
36 by 3 you get 108 and then 108 by 3 is 324
The ratio of girls to boys in a certain grade is 9;8. If there are 72 girls in the grade, how many boys are there?
Answer:
[tex]Boys = 81[/tex]
Step-by-step explanation:
Given
[tex]Boys : Girls = 9 : 8[/tex]
[tex]Girls = 72[/tex]
Required
Find the number of boys
Substitute 72 for girls in [tex]Boys : Girls = 9 : 8[/tex]
[tex]Boys : 72 = 9 : 8[/tex]
Convert ratio to fraction
[tex]\frac{Boys}{72} = \frac{9}{8}[/tex]
Multiply both sides by 72
[tex]72 * \frac{Boys}{72} = \frac{9}{8} * 72[/tex]
[tex]Boys = \frac{9}{8} * 72[/tex]
[tex]Boys = 9*9[/tex]
[tex]Boys = 81[/tex]
The price of a video game was reduced from $70.00 to $40.00. By what percentage was the price of the video game reduced? Justify your answer.
Lisa's home is currently worth $152,000. When she purchased it five years ago, it was worth $180,000.
Find the percent of change and classify it as a percent increase or decrease?
Answer:
There was a [tex]15\frac{5}{9}[/tex]% decreas
A swimming pool is in the shape of a rectangular prism. If the base measures
10 feet by 12 feet, and the pool is 8 feet deep, how many cubic feet of water
will the pool hold?
Answer:
960
Step-by-step explanation:
10x12x8 is 960
J1, J2 and J3 are three junctions on a motorway. The distance from J2 to J3 is 8.7 miles. The distance from J1 to J2 is one-third of the distance from J2 to J3. Work out the distance from J1 to J3
Answer:
11.6 miles
Step-by-step explanation:
Given that:
Distance from J2 to J3 = 8.7 miles
Distance between J1 and J2 = 1/3 of J2 toJ3
Hence, distance between J1 and J2 becomes :
1/3 * 8.7 miles = 2.9 miles
Distance from J1 to J3 equals :
(J1 to J2) + (J2 to J3)
2.9 miles + 8.7 miles
= 11.6 miles
What is the value of
6.3 X 105
1.2 x 103
Answer:
6.3 x 105 = 661.5
1.2 x 103 = 123.6
Answer:
1. 661.5
2. 123.6
these are the correct answers to this question
Ok so I have 72 and 70 I have to round the number to the nearest ten can anyone help me.
Yes I think I can help you!
Answer:
The nearest 10 would be 70!
Step-by-step explanation:
Both of these numbers are below 75, so you have to round down to 70.
I hope this helps, and have a great day!
someone please help me im so confused
Answer:
x=11
Step-by-step explanation:
5x+62=3x+47+37
5x+62=3x+84
2x=22
x=11
On a 6-sided number cube, which is more likely: rolling an odd number or rolling an even number?
Answer choices:
A) rolling an even number
B) the events are equally likely
C) neither is possible
D) rolling an odd number
Answer:
B
Step-by-step explanation:
Even numbers = 2,4,6
Odd numbers = 1,3,5
Same amount of numbers
Answer:
B. The events are equally likely.
Step-by-step explanation:
On a 6-sided number cube, there are 3 even numbers (2, 4, 6) and 3 odd numbers (1, 3, 5). There is a 1/2 (3 of 6) chance you will roll an even number, and a 1/2 chance you will roll an odd number. These chances are the same, so B is the answer.
please help me please will give brainliest to anyone who is good
C
Step-by-step explanation:
just always pick c you understand right
The answer to this question is B, you already ate 15 so you'll add 15 onto the total you'll need to eat.
4
The monthly property tax for a home, in dollars, in a certain city y years after 1990 is $373 + $32y.
Which of the following is correct?
OA. The property tax increased by $32 each year after 1990.
OB. The property tax decreased by $373 each year after 1990.
OC. The property tax increased by $373 each year after 1990.
OD. The property tax decreased by $32 each year after 1990
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William bought a piece of wood that is 3 feet long. He cuts it into two pieces. One piece is 14 inches long. How long is the other piece?
Answer:
The other board is 22 inches
Step-by-step explanation:
3 ft is 36 inches and 36 - 14 = 22 inches
Answer:
22 inches
Step-by-step explanation:
One foot is equal to 12 inches. Therefore, 3 feet equals 36 inches.
3 x 12 = 36
William cut the board into two separate pieces. Since one of the pieces is 14 inches, you will need to subtract 14 from the beginning amount (36 inches) to find the length of the other piece.
36 - 14 = 22 inches
Aubrey coach asked her to bring 5 liter of water to practice. How many 500-milliliter bottles does aubrey needs to buy to have exactly enough water?
Answer:
10 water bottles
Step-by-step explanation:
We know that there are a total of 1000 milliliters in a 1 liter. So we first need to multiply 1000 milliliters by 5 in order to calculate how much is in 5 liters which is what the coach is asking for...
1000 * 5 = 5000 milliliters
Since each water bottle only holds 500 milliliters we need to divide this amount by the total that the coach needs in milliliters.
5000 / 500 = 10
Finally, we can see that Audrey needs to buy a total of 10 water bottles to have exactly enough water.
12 ft
4 ft
I need help please
Answer: 48ft
Step-by-step explanation:
multiply the 12 and the 4...
Answer:
12 times 4
Step-by-step explanation: