the function g(x) is a transformation of the quadratic parent function, f(x) = x^2. What function is g(x)
Answer:
Option (C)
Step-by-step explanation:
Quadratic parent function has been given as,
f(x) = x²
If we reflect this function across the x-axis and vertically stretched by a scale factor of 'k',
g(x) = -kx²
This quadratic function passes through a point (1, -4),
g(1) = -k(1)²
-4 = -k
k = 4
Therefore, the new function after transformation will be,
g(x) = -4x²
Option (C) will be the correct option.
The function g(x) is [tex]\rm g(x) = -4x^2\\[/tex].
Given that,
The function g(x) is a transformation of the quadratic parent function,
[tex]\rm f(x) = x^2[/tex]
We have to determine,
What function is g(x)?
According to the question,
The function f(x) is a transformation of the quadratic parent function,
[tex]\rm f(x) = x^2[/tex]
In the given figure the function g(x) reflect across the x-axis and is vertically stretched by a scale factor of 'k',
Then, The function g(x) is,
[tex]\rm g(x) = -kx^2[/tex]
Therefore,
The quadratic equation passes through the point (1,4),
[tex]\rm g(x) = -kx^2\\\\g(1) = -k(1)^2\\\\-4 = -k\\\\k= 4[/tex]
Therefore,
The function g(x) is,
[tex]\rm g(x) = -kx^2\\\\g(x) = -4x^2[/tex]
Hence, The required function g(x) is [tex]\rm g(x) = -4x^2\\[/tex].
For more details refer to the link given below.
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7505 ÷ 25
please send a photo
Answer:
300.2
7505/25=300.2 or300
What is the unit rate for mason's run?
Answer:
Picture or graph? I need a graph to answer.
Given: m | n
m
46°
6x-2
n
What is the value of 2?
Answer:
7
Step-by-step explanation:
Because the lines are parrell and there is and a line intersecting both, you can say that the angles are interior corresponding angles. Thus you can have an equation 46=6x-2 then 48=6x divide x=7
Use the Distributive Property to solve the equation. 3/5(a + 5. 25) = 7. 35a =
Evaluate.
x² + 2
for x = 5.1
Answer:
28.01
Step-by-step explanation:
Since x = 5.1
Substitute
5.1² + 2
=26.01+2
Add the numbers
=28.01
Hence, Answer = 28.01
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If f(1) = 0, what are all the roots of the function f (x) = x cubed + 3 x squared minus x minus 3? Use the Remainder Theorem.
x = –1, x = 1, or x = 3
x = –3, x = –1, or x = 1
x = –3 or x = 1
x = –1 or x = 3
Answer:
x = –3, x = –1, or x = 1
Step-by-step explanation:
when I put -3.-1,or 1 as x I get 0
Remainder Theorem Way :
x^3-3x^2-x-3
x^2 (x+3) -1(x+3) = 0
(x^2 -1) (x+3) = 0
(x+1) (x-1) (x+3) = 0
x= 1 x= -1 x= -3
https://brainly.com/question/3470351
Answer:
its b
Step-by-step explanation:
cause I took test
What are some strategies you can use to compare rational expressions?
Help me with this problem please.
Answer:
1.23, -4.8
Step-by-step explanation:
-3.57 - 1.23 = -4.8
Hope this helps :)
Jenny wishes to advertise her business, so she gives packs of 8 red flyers to each restaurant owner and sets of 4 blue flyers to each clothing store owner. At the end of the day, Jenny realizes that she gave out the same number of red and blue flyers. What is the minimum number of flyers of each color?
Answer:
8 red flyers and 8 blue flyers
Step-by-step explanation:
Packs of red flyers = 8
Blue flyers = 4
Jenny realizes that she gave out the same number of red and blue flyers
Find the lowest multiples of 8 and 4
8 = 8, 16, 24, 32
4 = 4, 8, 12, 16
The lowest common multiples of 8 and 4 is 8
Therefore,
The minimum number of flyers of each color is
8 red flyers and 8 blue flyers
To find the inverse of f(x) = 3x - 10, Jenna begins by replacing f(x) with y.
What is the next step?
A. Replace y with f'(X).
B. Subtract 10 from both sides of the equation.
C. Switch x and y.
D. Solve the equation for x.
Answer: Switch x and y
A function assigns the value of each element of one set to the other specific element of another set. The correct option is C.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
To find the inverse of f(x) = 3x - 10, Jenna begins by replacing f(x) with y. The next step is to Switch x and y. And further, solve the equation for x.
Hence, the correct option is C.
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You need a new computer for college that costs $1200. You
have worked all summer and earned $960. You will have to ask
your aunt if you can borrow the rest. What percent of the
computer's cost do you ask your aunt to pay?
Answer: 20%
Step-by-step explanation: $1200 - $960 = $240
20% of 1200 is 240.
whats the equation 2+2 yo
Answer: is 4 you dontiy noweok
Step-by-step explanation: beacouse 2 + 2 is for silli sdlkfjasñldkas
sadfjlñsakdfjñsldfk
sdfsdlfksjañdlkfj234
23
42
34
23
4234
4
56
6
345
.
Harvey conducted a probability experiment using a cube numbered 1-6 and a spinner with three equal spaces, as shown.
А
B
On each trial of the experiment, the number cube is tossed once and the arrow is spun once.
What is the sample space for the experiment?
Answer:
We have two independent events.
A number cube, with 6 possible outcomes.
A spinner, with 3 possible outcomes.
Each element in the combined sample space will be something like:
(outcome of the number cube, outcome of the spinner).
Then the number of possible outcomes in the sample size is equal to the product between the number of outcomes in each event.
Sample space size = 6*3 = 18.
Answer:
The answer is D. With all the 18 options.
Step-by-step explanation:
What are the complete factors of the polynomial 7x - 7?
Answer:
7(x-1)
Step-by-step explanation:
If you factor out 7 from each term,
you end up with 7([tex]\frac{7x}{7} -\frac{7}{7}[/tex])
or 7(x-1)
hey so can u help me with this question?
Answer:
E. 0.75%
Step-by-step explanation:
Convert to a fraction, then convert to a decimal by dividing the numerator by the denominator.
What is the 7th term in the geometric sequence described by this explicit
formula?
an = 800 - (0.5)(n-1)
Answer:
a₇ = 797
Step-by-step explanation:
substitute n = 7 into the explicit formula
a₇ = 800 - 0.5(7 - 1) = 800 - 0.5(6) = 800 - 3 = 797
Please I need some steps!
Answer:
98.875
Step-by-step explanation:
Just add all the hours worked.
Hope this helps! :)
Multiplying Polynomials.
Simplify each difference.
What is the area of a sector with a central angle of 5π7 radians and a diameter of 5. 6 in. ? Use 3. 14 for π and round your final answer to the nearest hundredth. Enter your answer as a decimal in the box. In².
The area of the sector which has a central angle of 5π/7 radians and a diameter of 5.6 in is 8.79 in².
What is the area of a circular sector?The area of a circular sector is the total space occupied by it. The sector area is half of the product of the square of radius of the circle and the central angle.
It can be calculated as,
[tex]A_{sector}=\dfrac{d^2\theta}{8}[/tex]
Here, (d) is the diameter of the circle and (θ) is the central angle.
The central angle of the sector is 5π/7 radians and the diameter of the sector is 5.6 in.
Put the values in the above formula as,
[tex]A_{sector}=\dfrac{(5.6)^2\times5\pi}{8\times7}\\A_{sector}=\dfrac{(5.6)^2\times5\pi}{8\times7}\\A_{sector}=8.79 \rm \; in^2[/tex]
Hence, the area of the sector which has a central angle of 5π/7 radians and a diameter of 5.6 in is 8.79 in².
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How much do you earn per week if your annual salary is $40,716?
Answer:
783
Step-by-step explanation:
There are 52 weeks in a year. Divide 40,716/52 and you get $783 weekly.
A small regional carrier accepted 22 reservations for a particular flight with 20 seats. 14 reservations went to regular customers who will arrive for the flight. Each of the remaining passengers will arrive for the flight with a 42% chance, independently of each other.
a. Find the probability that overbooking occurs.
b. Find the probability that the flight has empty seats.
The probabilities for each case are:
a) P = 0.012b) P = 0.937How to get the probability?
There are 8 reservations for passengers that may go or not, such that the probability of arriving to the flight is P = 0.42, and the probability of not arriving is Q = 0.58
a) There will be overbooking if 7 or more passengers go to the flight, the probability that the 8 attend is:
P(8) = (0.42)^8
The probability that 7 attend is:
P(7) = 8*(0.42)^7*(0.58)
(where the factor 8 is because there are 8 permutations)
The total probability is:
P = P(8) + P(7) = 0.012
b) Will be empty seats if less than 6 people go.
The probability that exactly 6 of these people go to the flight is:
P(6) = (28)*(0.42)^6*(0.58)^2
Where there are 28 permutations, that is why we used that factor.
Then, the probability of having empty seats is:
P = 1 - P(6) - P(7) - P(8) = 0.937
If you want to learn more about probability, you can read:
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What is the total finance charge for a $4,250 loan at 13. 25% interest compounded monthly for 24 months? a. $25. 47 b. $202. 55 c. $611. 20 d. $4,861. 20 Please select the best answer from the choices provided A B C D.
The total finance charge for a $4,250 loan at 13. 25% interest compounded monthly for 24 months is $670.54.
What is Compound Interest?
Interest on interest, or compound interest, is the adding of interest to the principal sum of a loan or deposit. It's the outcome of reinvesting interest rather than paying it out so that interest is received on the principal plus previously collected interest in the next quarter.
[tex]A = P(1 + \frac{r}{n})^{nt}[/tex]
A is the final amount, P is the Initial principal balance, r is the interest rate, n is the number of times interest is applied per time period, t is the number of time periods elapsed.
As it is given that the principal amount is $4,250 while the interest rate is 13.25% compounded monthly and the principal amount is taken for 24 months, therefore,
[tex]A = P(1 + \frac{r}{n})^{nt}\\\\A = 4,250(1 + \frac{0.1325}{12})^{24 \times 2}\\\\A = 5,531.54[/tex]
Now, the total amount that is needed to be paid is $5,531.54, while $4,250 was the principal amount therefore, the finance charge or the interest is,
Financial Charge = Final amount - Principal amount
Financial Charge = $5531.54 - $4861 = $670.54
Hence, the total finance charge for a $4,250 loan at 13. 25% interest compounded monthly for 24 months is $670.54.
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Please help. Thanks.
Evaluate the expression \{10 x 7\}+(10 - 6){10×7}+(10−6)left brace, 10, times, 7, right brace, plus, left parenthesis, 10, minus, 6, right parenthesis.
Answer:
74
10x7=70
10-6=4
70+4=74
The result of the given mathematical expression is 74.
What is a mathematical expression?A mathematical expression consists of numbers, variables, and common mathematical operations such as addition, subtraction, multiplication, division, and more.
The given expression is:
{10 x 7} + (10 - 6)
= 70 + 4
= 74
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Sierra Ridge Middle School is getting a new lunchroom. Robert is surveying a random
selection of students to find out what new features they'd like to add. The table below shows
how many students surveyed have ranked each feature as their first choice. Robert wants to
survey at least 50 more students.
Lunchroom feature Number of students
sound system
10
water cooler
7
painted mural
4
bulletin boards
5
Based on the data, estimate how many of the next 50 students surveyed will rank a water
cooler as their first choice of additions to the lunchroom.
If necessary, round your answer to the nearest whole number.
students
Answer: 13
Step-by-step explanation:First, based on the data, find the probability of a water cooler being a student's first choice of additions to the lunchroom.
Robert has surveyed 10+7+4+5=26students.
7 of these students ranked a water cooler as their first choice.
So, the probability of a water cooler being a student's first choice of additions to the lunchroom is
7
26
.
You can estimate how many of the next 50 students surveyed will rank a water cooler as their first choice by assuming that
7
26
of the 50 students will do so. Find
7
26
of 50.
7
26
50=13.461…
Based on the data, about 13 students out of the next 50 surveyed will rank a water cooler as their first choice of additions to the lunchroom.
Megan drove 16.7 miles on Monday, 24.25 miles on Tuesday, and 17 miles on Wednesday. How far did she drive altogether?
Answer:57.95
Step-by-step explanation:
24.25
16.70
17.00=57.95
What is 7/10 + 3/5 answer
Answer:
■○■•♤•♤♤•》•♤~♤~♤~♤~♤♤~♤•♤○♤~
In December, Gyu Ha could type 35 words per minute. In March, he could type 42 words per minute. What is his percent of change in the number of words per minute he could type from December to March?
Answer:
what 35 minus 42
Step-by-step explanation:
Answer:
20%
Step-by-step explanation: you just multiply 35 bye different percent and obviously more than 50 is too much in less than 10 is too little so just multiply from numbers that you know are close and from 35 to 42 is seven so once you multiply those percent by 35 you have to get seven as your answer
k(-3)4x²+1. please help me!
-12kxand up a 2 +1
your welcome
your girl unique
Answer:
[tex]-12kx^2+1[/tex]
Step-by-step explanation:
Given;
k(-3)4x²+1
Solve;
[tex]k\left(-3\right)\cdot \:4x^2+1[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:\left(-3\right)\cdot \:4=-12[/tex]
[tex]=k\left(-12\right)x^2+1[/tex]
[tex]\mathrm{Remove\:parentheses}:\quad \:k\left(-12\right)x^2=-k\cdot \:12x^2[/tex]
[tex]=-k\cdot \:12x^2+1[/tex]
[tex]=-12kx^2+1[/tex]
Answer = [tex]-12kx^2+1[/tex]
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