The graph of Fx), shown below, has the same shape as the graph of
G(x) = x, but it is shifted up 1 unit. What is its equation?
5+
F(x) =
Answers
Step-by-step explanation:
step 1. shifting f(x) up by one simply adds 1 to f(x).
step 2. if g(x) = x^2 then f(x) = x^2 + 1.
The equation of the function f(x) is f(x) = x²+1
What is a function?A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
Given is a function g(x) = x², and a function f(x) which have the same graph as the function g(x) = x², but it is shifted up 1 unit, we need to find the equation of the function f(x),
we are given that, it is shifted up 1 unit, that mean it has horizontal shift,
Rule for horizontal shift =
k(x) = k(x) + a [for upwards]
So, horizontal shift of 1 = g(x)+1
Therefore, f(x) = g(x)+1
or, f(x) = x²+1
Hence, the equation of the function f(x) is f(x) = x²+1
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Related Questions
Suppose that 10% of people own dogs. If you pick two people at random what is the probability that they both own a dog?
Answers
Answer: probability 0.01 %
Step-by-step explanation:
P(A) = 10% = 10/100 = 0.10
pick two people -
= P(A).P(A)
= 0.10 times 0.10
= 0.01
probability = 0.01
The probability that they both own a dog is 1/50 or 0.02.
What is probability?Probability is the chance of happening an event or incident.
Given, 10% of people own dogs.
Let, there are 100 people.
Therefore, the number of people own dogs is
= 100 × 10%
= 10
If I pick two people at random, then the probability that they both own a dog is
= 2/100
= 1/50
= 0.02
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Which equation is the inverse of y = x^2– 36?
ОО
y=1/x+6
y=+ X+36
y=+ x +36
y=+Vx2+36
Answers
Answer:
y inverse = √(x + 36)
Step-by-step explanation:
inverse of y = x² - 36
=> x² = y + 36
=> x = √(y + 36)
interchange x and y
=> y = √(x + 36)
The geometric mean of a number and four times the number is 22. What is the number?
Answers
2x=22
x=11
Answer is 11
The number, such that the geometric mean of the number and four times the number is 22, will be 11.
What is the Arithmetic and Geometric mean of two numbers a and b ?The arithmetic mean of two numbers [a] and [b] is equal to (a + b)/2 and their geometric mean is equal to [tex]\sqrt{ab}[/tex]
We have the geometric mean of a number and four times the number is 22.
According to the question, we can write -
G.M. = [tex]\sqrt{ab}[/tex]
Assume that the number is [x]. Then the second number will be [4x]. So -
22 = √4x²
22 = √(2x)²
2x = 22
x = 11
Therefore, the number, such that the geometric mean of the number and four times the number is 22, will be 11.
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3.) A box in the shape of a rectangular prism has a volume of 180 cm". The length is x cm, the
width is (x + 9) cm, and the height is (x – 4) cm. Find the dimensions of the box.
Answers
Answer:
48
Step-by-step explanation:
i am a smart
The dimensions of the box are;
Length = 2.44 cm
Width = 11.44 cm
Height = 1.56 cm
How to find the volume of a right rectangular prism?Suppose that the right rectangular prism in consideration be having its dimensions as 'a' units, 'b' units, and 'c' units, then its volume is given as:
[tex]V = a\times b \times c \: \: unit^3[/tex]
Given box in the shape of a rectangular prism has a volume of 180 cm".
The length is x cm, the width is (x + 9) cm, and the height is (x – 4) cm.
Volume = (x + 9) (x – 4) (x)
180 = (x + 9) (x – 4) (x)
180 = (x²+ 9x) (x² – 4x)
x³ + 13x² + 36x - 180 = 0
x = 2.44
Thus, width is (x + 9) cm = 2.44 + 9 = 11.44 cm
The height is (x – 4) cm = 2.44 - 4 = 1.56 cm
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A sculptor needs to lift a piece of marble. It is a cuboid with dimensions 1m by 0.6 m by 0.3 m. Marble has a density of 2.7 g/cm cubed. What is the mass of the marble in kg?
Answers
To find the mass you have to do Density x Volume.
The volume of the cuboid is 0.18 m cubed and the density is 2.7g/cm cubed.
The 2.7 g/cm cubed must be converted into kg/m cubed to find the mass in kg. Which is 2,700 kg/ m cubed.
2,700 x 0.18 = 486 kg.
The mass of the marble in kg is 486kg
D
Question 7
Solve the following expression.
(100.40 - 25.40) + 2(3.25 +4)
Answers
Answer:
89.50
Step-by-step explanation:
Answer: It is 89.5
Step-by-step explanation:
The grid map shows the location of the houses of some of Kendra's friends. Which friend lives at
(-3,-1)?
у
Ryan
4
Cindy
3
2
1
Tiffany
Anha
-2
-3
Barry
O A Anna
O
B. Tiffany
C. Cindy
o
D. Barry
Answers
Answer:
there is no picture and i think something is messed up because the choices dont make any sence
Step-by-step explanation:
Solve 17 x 5/8 as a mixed number
Answers
Answer:
it's 10 and 5/8
Step-by-step explanation:
I hope this has helped you
The solution of expression [tex]17 \times \dfrac{5}{8}[/tex] in the form of mixed number would be [tex]10 \dfrac{5}{8}[/tex].
Used the concept of multiplication that states,
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that the expression to solve,
[tex]17 \times \dfrac{5}{8}[/tex]
Now multiply separately with the numbers given,
[tex]17 \times \dfrac{5}{8}[/tex]
[tex]\dfrac{85}{8}[/tex]
It can be written as,
[tex]10 \dfrac{5}{8}[/tex]
Therefore, the mixed form of solution is [tex]10 \dfrac{5}{8}[/tex].
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A spinner has three unusual sections: red, yellow, and blue.. The table shows the results of Nolan’s spins. Find the probability of landing on each color.
Answers
Answers:
Red = 1/3Yellow = 7/15Blue = 1/5====================================================
Explanation:
Add up all the frequencies in the table to see that there are 120+168+72 = 360 spins total.
Of those 360 spins, 120 of them land on red. The probability of landing on red is 120/360 = (120*1)/(120*3) = 1/3Since 168 land on yellow, this means the probability of landing on yellow is 168/360 = (24*7)/(24*15) = 7/15Lastly, we have 72 occurrences of blue out of 360 total spins. The probability of landing on blue is 72/360 = (72*1)/(72*5) = 1/5Whoever answers 1-6 gets brainliest! Thank you! I need it ASAP
Answers
Please help me if you can
Answers
Answer:
first 1 is 5.7 2 is the 4.6 3 is the 3 is the middle and the 4 is the last
Step-by-step explanation:
jus use the internet XD
Question 11
A rectangle with a perimeter of 12 inches is enlarged by a scale factor of 3. What is the perimeter of the enlarged
rectangle?
Answers
Answer:
The perimeter of the enlarged rectangle is 36 inches.
Step-by-step explanation:
Perimeter of an enlarged figure:
To find the perimeter of an enlarged figure, we multiply the perimeter of the original figure by the scale factor.
In this question:
Perimeter of the original rectangle: 12 inches
Scale factor: 3
Perimeter of the enlarged rectange:
12*3 = 36 inches
3^4+4.5= Input whole number
Answers
Step-by-step explanation:
(3 × 3 × 3 × 3) + 4.581 + 4.585.5MARK ME AS BRAINLISTPLZ FOLLOW MEAnswer:
thats 86 because it's the nearest whole number
Step-by-step explanation:
(3 × 3 × 3 × 3) + 4.5
81 + 4.5
85.5
SO THAT MEANS 3^4+4.5 = 85.5 rounded to the nearest whole number is 8622. The area of a triangle can be represented by the expression 14x^5 + 63x^2. If the base is 7x^2, write
an expression to represent its height.
Answers
Answer:
h = 4x ^ 3 + 18
Step-by-step explanation:
The first thing you should know for this case is that the area of a triangle is given by:
A = (1/2) * (b) * (h)
Where,
b: base.
h: height.
Clearing the height we have:
h = ((2) * (A)) / (b)
Substituting the values
h = ((2) * (14x ^ 5 + 63x ^ 2)) / (7x ^ 2)
Simplifying the expression:
h = ((2) * (2x ^ 3 + 9))
h = 4x ^ 3 + 18
answer
an expression to represent its height is
h = 4x ^ 3 + 18
Andre is running in an 80-meter hurdle race. There are 8 equally-spaced hurdles on the race track. The first hurdle is 12 meters from the start line and the last hurdle is 15.5 meters from the finish line.
Estimate how far the hurdles are from one another. Explain your reasoning.
Answers
Answer:
600 and 3
Hope this helps:)
Clarissa (the surveyor from our book) is at home and needs to figure out how tall her wall is in order to replace one of the lights. She places the mirror on the ground 27 feet from the wall. Clarissa is 9 feet from the mirror, and Clarissa's eyes are 6 feet from the ground.
Answers
Answer:
The height of the wall is 18 ft.
Step-by-step explanation:
I have taken a look at the question, and will label the diagram accordingly. Check the attachment.
We are asked to calculate the height of the wall. Well, the incidence ray is equal to the reflected ray, so therefore by AA we have similar triangles. Setting up a proportion to determine the height of the wall:
9/6 = 27/x [where x = height of the wall]
x = 27*6/9 = 18 ft.
The probability that it rains in London on any particular day is 0.3.
If it rains then the probability of it raining the following day decreases to 0.15.
Consider the next two days.
What is the probability it rains on both days?
Answers
Answer:
Day 1=0.075
Day 2=0.0375
Step-by-step explanation:
Divide each day by 2
The probability it rains on both days if the probability that it rains in London on any particular day is 0.3 is 0.595
What is the probability?The probability is the likeliness of happening an event. It can be calculated by using the following formula:
Probability=Number of events/Number of total outcomes
How to calculate the probability?
The probability that it rains in London on any particular day is 0.3
If it rains then the probability of it raining the following day decreases to 0.15.
The probability that it rains on the second day=1-0.15=0.85
The probability that it rains on the third day=0.85-0.15=0.7
The probability that it rains on both is=0.85*0.7=0.595
Hence the probability that it rains on both is 0.595
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If there are 48 double decker buses in a depot and 24 single, what percentage of the buses are single decker?
Answers
Answer:
17.28
Step-by-step explanation:
Totall buses: 48+28 = 72
% Of single decker: 72×(24÷100) = 17.28
Approximately 33.33 percentage of the buses in the depot are single-decker buses.
To find the percentage of single-decker buses, we need to calculate the ratio of the number of single-decker buses to the total number of buses (single-decker and double-decker) and then multiply by 100.
The total number of buses in the depot is given as 48 double-decker buses + 24 single-decker buses = 72 buses.
The number of single-decker buses is 24.
The ratio of single-decker buses to the total number of buses is 24 buses / 72 buses = 1/3.
To find the percentage, we multiply the ratio by 100:
(1/3) * 100 = 33.33%
Therefore, approximately 33.33% of the buses in the depot are single-decker buses.
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Which best describes the domain of the function?
Answers
Answer:
Step-by-step explanation:
Keep getting this answer wrong please help!!
Answers
1.) y=3x+1
2.) y=-x+5
1. (y=3x+1)
2. (y=-x+5)
Renee bought 6 tickets to a football game. She paid a total of $216.
Answers
Answer:
1 ticket =$36
Step-by-step explanation:
216÷6= $36
Answer:
36
Step-by-step explanation:
Divide 216 by 6 to get the total amount per ticket
The average ratio of cats to dogs in the uk is 13:15 there are 5200 cats in the city of Bristol . Using the national average ratio , estimate how many dogs there are in the city of Bristol
Answers
Answer:
5,999
Step-by-step explanation:
help mee please and thanks
Answers
Answer:
x= −1/5y + 2/5
Step-by-step explanation:
Let's solve for x.
y=−5x+2
Step 1: Flip the equation.
−5x+2=y
Step 2: Add -2 to both sides.
−5x+2+−2=y+−2
−5x=y−2
Step 3: Divide both sides by -5.
Answer:
x= -1/5y + 2/5
not 100% sure if ur trying to solve for x or just graph that equation but hopefully this helped lol :)
The recipe for Tommy’s famous chocolate chip cookies calls for ¾ cup of chocolate chips. Tommy wants to triple the recipe. How many cups of chocolate chips will he need?
Answers
Answer:
2 1/4 cups
Step-by-step explanation:
3(3/4) = 9/4 = 2 1/4 cups
Scott Disick is known for his club scene. Although he is optimistic about the nightlife in Philly, he is more of a NYC guy when he is in the East Coast. He is concerned about the overall quality of the nightlife. He believes the probability is 0.50 that the scene will be excellent, 0.20 that it is average and 0.30 that the scene will not be up to his standards. He also estimates that the probability of Leo Di Caprio coming in an excellent scene will be 0.7, the probability of him coming at an average setting it is 0.3 and the probability that it will not be up this standards at .2 List out the probabilities of an excellent scene, an average scene and a below standards scene. If Leo shows up, what kind of probability is this called
Answers
Answer:
1.)
P(E) = 0.5
P(A) = 0.2
P(N) = 0.3
Conditional probability ;
0.47
Step-by-step explanation:
Let :
E = Excellent ; A = Average ; N = not up to standard
P(E) = 0.5
P(A) = 0.2
P(N) = 0.3
If Leo shows up ; this type of probability is called a conditional probability. It is the likelihood of an event based on a certain or already satisfied condition.
The probability that Leo is coming :
Leo ; Excellent = 0.7
Leo ; Average = 0.3
Leo; Not up to standard = 0.2
Hence, probability they Leo is coming :
(0.5 * 0.7) + (0.2 * 0.3) + (0.3 * 0.2)
0.35 + 0.06 + 0.06
= 0.47
Write the equation of the line that has a slope of -3 that passes through the point (6, 2).
Answers
Answer: y=-3x+20
Step-by-step explanation:
Point slope formula = y-y1=m(x-x1)
y-2=-3(x-6)
y-2=-3x+18
y-2+2=-3x+18+2
y=-3x+20
Standard form is 3x+y =20
Two adjacent
angles on a straight are in the ratio of 5:4 find the measure of both angles
Answers
Answer:
hope this is what u want
if I m correct mark me brainlist plz
5
12
Justin is making punch. He uses gallon of grape juice gallon of orange
juice, and gallon of cranberry juice. Which statement about the fractions is
true?
Answers
Answer:
12÷5=2.4
Step-by-step explanation:
ano ba lesson nyo po
20.7 liters of water came out of a faucet today. If 1.5 liters of water come out each minute, how many minutes was the faucet on?
Answers
Answer:
13 min 8 sec
Step-by-step explanation:
Answer:
13 hours 15 mins
Step-by-step explanation:
20.7/1.5= 13.8
A scientist is studying the relationship of two quantities S and T in an experiment. The scientist finds that
under certain conditions, as the quantity of S increases, the quantity of T decreases. After taking
measurements, the scientist determines that the rate of change of the quantity of S with respect to the
quantity of T present is inversely proportional to the natural logarithm of the quantity of T. Which of the
following is a differential equation that could describe this relationship?
Answers
Differential equation is a way to represents the function and its variable by relating them.Hence the differential equation that describe the relationship between S and T is,
[tex]S \propto \dfrac{1}{log_e T}[/tex]
Given-
The quantity of S increases, the quantity of T decreases.
The rate of change of the quantity of S with respect to the quantity of T present is inversely proportional to the natural logarithm of the quantity of T.
What is differential equation?Differential equation is a way to represents the function and its variable by relating them.
As the quantity of S changes with respect to the quantity of T present is inversely proportional. Thus,
[tex]S \propto \dfrac{1}{T}[/tex]
But quantity of S changes inversely proportional to the natural logarithm of the quantity of T. The natural logarithm of a number is its logarithm to the base of e (constant).
Thus the equation can be given is,
[tex]S \propto \dfrac{1}{log_e T}[/tex]
Hence the differential equation that describe the relationship between S and T is,
[tex]S \propto \dfrac{1}{log_e T}[/tex]
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