The transformation to the parent function f(x) from g(x) is (b) g(x) is shifted 2 units to the right and 6 units up
How to compare the graphs?The equations are given as:
f(x) = x^3
g(x) = (x - 2)^3 + 6
The function g(x) can be rewritten as:
g(x) = (x - h)^3 + k
This means that the function f(x) is shifted right by h units and shifted up by k units.
By comparison:
h = 2 and k = 6
Hence, the transformation to the parent function f(x) from g(x) is (b) g(x) is shifted 2 units to the right and 6 units up
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if x = 4 find 3x - 2x + 24x
Step-by-step explanation:
= 3x - 2x + 24x
= 3 × 4 - 2 × 4 + 24 × 4
= 12 - 8 + 96
= 12 + 96 - 8
= 108 - 8
= 100
Which is an equation of the line passing through (-2,3) and perpendicular to the line
5x-y=12?
Answer:
y = -1/5x + 2.6
Step-by-step explanation:
Put the equation into slope intercept form:
5x - y = 12
-y = -5x + 12
y = 5x - 12
The slope of a perpendicular line will be the opposite reciprocal.
So, the slope of the new line will be -1/5
Then, plug this slope and the given point into the equation y = mx + b to find b
y = mx + b
3 = -1/5(-2) + b
3 = 0.4 + b
2.6 = b
So, the equation will be y = -1/5x + 2.6
Help please!!!!! FIRST CORRECT GETS BRAILIEST
Answer:
I think it is D, if I am wrong I am sooooo sorry
what is the volume of a cylinder, in cubic inches, with a height of 2 inches and a base diameter of 4 inches? Round to the neares tenths place
Answer:
V≈25.13in³
Step-by-step explanation:
A contalner holds 44 cups of water. How much is this in gallons?
Write your answer as a whole number or a mixed number in simplest form. Include the correct unit in your answer.
Answer:
5 1/4 gallons
Step-by-step explanation:
Hope this helps and have a nice day
Work out the bearing of C from A.
45°
65°
(Look at the picture) please help me
Answer:
110°
Step-by-step explanation:
if we're looking for the bearing of C from A, the angle should be formed at A
then, starting from the north poles, move in a clockwise direction till you meet the line coming from C . then, sum up the angles involved.
which is = 45°+ 65° = 110°
therefore, the bearing of C from A is 110°
one third of a number y is 2
Answer:
y = 6
1/3 indicates that we may have to multiply the number by 3 to get the whole number. Multiply 3 by the part given, 2.
3 × 2 = 6
PLeaseeeee Help
6. Given the order pairs (2, 3), (4, 5), (4, 7), (5, 10), and (6, 8) find the following. Round all final answers to three decimals places. Be careful not the round to early.
Express the line of best fit in the form of y = mx+b.
(a) The line of best fit. =
(b) Find the coefficient of linear correlation. =
Answer:
B
Step-by-step explanation:
answer is based on results from the Cartesian plane
PLEASE HELP!!
Which function, g or h, is the inverse function for function f??
Answer: The function h because the graphs of f and h are symmetrical about the line y=x.
Which type of video was rented most often! Use the graph to answer the question.
A. Children’s
B. Comedy
C. Action
D. Drama
Answer:
B
Step-by-step explanation:
the biggest portion of the pie graph is labeled comedy, so that would be your answer.
Solve the radical equation.
x + 4 =√x + 10
What is the extraneous solution to the radical equation?
O The solution -1 is an extraneous solution.
O Both -1 and -6 are true solutions.
O The solution -6 is an extraneous solution.
ONeither -1 nor -6 is a true solution to the equation.
The solution -1 is an extraneous solution
Neither -1 nor -6 is a true solution to the equation.
Option D is the correct answer.
What is a solution?Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.
We also find the solution in a system of equations using the substitution or elimination method.
Example:
2x + 4 = 8
The solution is x = 2.
We have,
To solve the equation x + 4 = √(x + 10), we need to isolate the radical term on one side of the equation and then square both sides to eliminate the radical.
Here are the steps:
x + 4 = √(x + 10)
Subtract 4 from both sides:
x = √(x + 10) - 4
Square both sides:
x² = (√(x + 10) - 4)²
Expand the right side using the formula (a - b)^2 = a^2 - 2ab + b^2:
x² = x + 6 - 8√(x + 10)
Move all terms to the left side:
x² - x - 6 + 8√(x + 10) = 0
To solve this equation, we can use a substitution u = √(x + 10):
u = √(x + 10)
Square both sides:
u² = x + 10
Substitute into the original equation:
(u² - 10) + 4 = u
Simplify:
u² - u - 6 = 0
Factor:
(u - 3)(u + 2) = 0
So u = 3 or u = -2.
But u = -2 leads to a negative value under the square root in the substitution u = √(x + 10), which is not allowed.
Therefore, we only consider u = 3, which gives:
√(x + 10) = 3
Square both sides:
x + 10 = 9
Subtract 10 from both sides:
x = -1
So the solution to the original equation is x = -1.
To check if it is extraneous, we need to substitute it back into the original equation:
x + 4 = √(x + 10)
-1 + 4 = √(-1 + 10)
3 = √9
3 = 3
The equation is true, so x = -1 is a valid solution and not extraneous.
Therefore,
Neither -1 nor -6 is a true solution to the equation.
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if(x) = a^x passes through the point (2, 1/16) the base a is
Answer:
1/4
Step-by-step explanation:
y = a^x
1/16 = a^2
so the answer is 1/4
If 8 packets of fudge cost R 30,80 what will the price of 14 packets be?
Answer:
53.90
Step-by-step explanation:
30.80/8=3.85 (price per pack)
3.85 x 14 = 53.90
the perimeter of a rectangle is 26 and the area is 30. what are the dimensions of the rectangle ?
Answer:
Step-by-step explanation:
A tennis ball is launched straight up from a height of 4 feet with an initial velocity of 64 feet per second. Use the
equation h(t) = -16ť² + vot+h, to determine when the tennis ball will be 52 feet in the air. Select all that apply.
01 second
2 seconds
3 seconds
5 seconds
6 seconds
When the ball hits the ground,
h=0
vt�16t^2=0
64t-16t^2=0..
t(64-16t)=0
t=0 (reject, not reasonable)
or
64-16t=0
16t=64
t=64/16=4
How long will it take for the ball to hit the ground? 4 seconds
Which of the following are statistical questions? Select all that apply.
How many books did the students at this school read over the summer?
What is your favorite ice cream flavor?
How many letters are in the first name of each person in this class?
How many hours do the students in this class sleep each night?
How many hours a night do you spend on homework?
How many chocolate chip cookies were made in the bakery last week?
Subtract the radical expression. Simplify if needed.
Answer:
7[tex]\sqrt{7}[/tex]
Step-by-step explanation:
Take 9 out of [tex]\sqrt{63}[/tex]
You get 3[tex]\sqrt{7}[/tex]
Take 4 out of [tex]\sqrt{28}[/tex]
You get 2[tex]\sqrt{7}[/tex]
So, 3(3[tex]\sqrt{7}[/tex]) - 2[tex]\sqrt{7}[/tex]
= 9 [tex]\sqrt{7}[/tex] - 2[tex]\sqrt{7}[/tex]
=7[tex]\sqrt{7}[/tex]
plsss help meeeeeeeeee
Find the surface area
Answer:
A≈9248.85
Step-by-step explanation:
A=2πrh+2πr2=2·π·32·14+2·π·322≈9248.84877
answer please
need quickly please please
What are the roots of the equation x² + 6x-9 = 07
Answer:
x1 =-3+3[tex]\sqrt{2}[/tex] and x2=-3-3[tex]\sqrt{2\\}[/tex]
Step-by-step explanation:
x² + 6x-9 = 0
-6±[tex]\sqrt{6^{2}-4(1)(-9) }[/tex] / 2
-6±[tex]\sqrt{72}[/tex] /2
so
x1 = -6+[tex]\sqrt{72[/tex] /2
x1 =-3+3[tex]\sqrt{2}[/tex]
and
x2 = -6-[tex]\sqrt{72[/tex] /2
x2=-3-3 [tex]\sqrt{2\\}[/tex]
amusement on a particularly boring transatlanfic fight one of the authors am used himseft by counting the heads of the people in the seats in front of him. He noticed that all 37 of them either had black hair or had a whole row to themselves or both. Of this total 33 had black hair and 6 were fortunate enough to have a whole row of seats to themselves. How many black haired people had whole rows to themselves?
Given the following GPA for 4 students: 2, 3, 3, 4. Age of students are: 10, 11, 12, 15. There are 10,000 total students. Average GPA: Unknown, Standard Deviation of GPA: 0.02 and it's Normal. a. Find the mean and standard deviation for GPA. (10 points) b. Calculate a 95% confidence interval for the populations mean GPA. (5 points) c. Use Correlation formula to find r between GPA and Age. (10 points) d. Find Regression Line Equation. (5 points)
The mean and standard deviation for the GPA of the students will be 3 and 0.8165.
How to calculate the mean?The mean simply means the average of a given set of numbers. The mean will be:
= 12/4
= 3
The standard deviation will be:
= ✓2/3
= 0.8165
The 95% confidence interval for the populations mean GPA will be 1.70 < U < 4.30. The interval lower limit is:
= 3.00 - 1.299.l
= 1.70
The interval upper limit will be;
= 3.00 + 1.299
= 4.30
Also, the regression line is Y = -1.2857 + 0.3571x.
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-6(1-4v) = 3v-8(-6-6v)
Answer:
Step-by-step explanation:
Equation
-6(1-4v) = 3v-8(-6-6v) Use the distributive property to get rid of the brackets.
Solution
-6 + 24v = 3v +48 +48v Combine
-6 + 24v = 51v + 48 Subtract 24v from both sides
-6 +24v-24v =51v-24v +48 Combine.
-6 = 27v + 48 Subtract 48 from both sides.
-6-48 = 27v+48-48 Combine
-54 = 27v Divide by 27
-54/27=27v/27
-2 = v
Answer
v=-2
Write an equation in slope-intercept form for the line with -intercept -2 and slope2
.
Find the factor of each ff.
49x²-63x+7
Answer:
7(7x²-9x +1)
Step-by-step explanation:
49x²-63x+7
7(7x²-9x +1)
The question is attached.
Answer:
The correct answer is 1/4 gallon.
Step-by-step explanation:
If we add all the fractions from the line plot, we will get 10/8 gallon.
10/8 divided by 5 is .25.
.25 converted to a fraction would be 1/4.
Hope this helps:) Goodluck!
What is the first step you would take to solve the equation ?
Like terms are those terms that are having the same variables, also the variables are of the same order as well. The first step to solving an equation is to rearrange the like terms.
What are Like terms?Like terms are those terms that are having the same variables, also the variables are of the same order as well.
for example, 25x and 5x are like terms; 30xy and 7xy are like terms, 9x³ and 4x² are not like terms, etc.
To solve an equation the first step is to rearrange the equation such that like terms are together.
Hence, the first step to solving an equation is to rearrange the like terms.
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if f (1) =5 and f (n) = 5f (n-1) + 5 then find the value of f (3)
Using the given information, the value of the f(3) is 155
Determining the value of a functionFrom the question, we are to determine the value of f(3)
From the given information,
f(n) = 5f(n-1) + 5
∴ f(2) = 5f(2-1) +5
f(2) = 5f(1) + 5
From the given information,
f(1) = 5
Then,
f(2) = 5(5) + 5
f(2) = 25 + 5
f(2) = 30
Also,
f(3) = 5f(3-1) + 5
f(3) = 5f(2) + 5
∴ f(3) = 5(30) + 5
f(3) = 150 + 5
f(3) = 155
Hence, the value of the f(3) is 155.
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The two formats used in an observation checklist are:
A. Performance profiles and Tallies
B. Tallies and video recording
C. Video recording and audio recording
D. Performance profiles and SMART Targets
The two formats used in an observation checklist are: D. Performance profiles and SMART Targets.
What is observation checklist?Observation checklist can be defined as the process of observing and evaluating a person or group of people performance.
When carrying out an observation checklist endeavors to make sure that the checklists are dated.
Observation checklist includes Performance profiles and SMART Targets. Where SMART stands for:
S=Specific
M=Measurable
A=Achievable
R=Relevant
T= Time-Bound
Therefore the correct option is D.
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