Given:
The graphs of f(x) and g(x).
The function f(x) is given by:
[tex]f(x)=x^2[/tex]
The graph of g(x) passes through the point (2,12).
To find:
The function g(x).
Solution:
From the given graph it is clear that the vertex of both function f(x) and g(x) is at (0,0). It means the graph of f(x) is not translated. It means the graph of f(x) is only vertically stretched to get the graph of g(x). So,
[tex]g(x)=kf(x)[/tex]
Where, k is the stretch factor.
[tex]g(x)=kx^2[/tex] ...(i)
The graph of g(x) passes through the point (2,12). Putting [tex]x=2, g(x)=12[/tex], we get
[tex]12=k(2)^2[/tex]
[tex]12=k(4)[/tex]
[tex]\dfrac{12}{4}=k[/tex]
[tex]3=k[/tex]
Putting [tex]k=3[/tex] in (i), we get
[tex]g(x)=3x^2[/tex]
Therefore, the correct option is A.
QUESTION 2 PLEASE HELP ME!!!
Answer:
Look it up up
Step-by-step explanation:
PLEASEEEE HELPPP MEEE.
DUE RIGHT NOW!!
Topic: Math
Solve all the questions
Answer:
1. x= 9
2. x= −2
3. 51 inches
4. $213.11 each month
Step-by-step explanation:
1. Simplify both sides of the equation.
x + 7 + 7x= 25 + 6x
Combine Like Terms
(x + 7x) + (7)=6x + 25
8x + 7= 6x + 25
8x + 7= 6x + 25
Subtract 6x from both sides.
8x + 7 − 6x= 6x + 25 − 6x
2x + 7= 25
Subtract 7 from both sides.
2x + 7 − 7= 25 − 7
2x= 18
Divide both sides by 2.
2x/2= 18/2
2. Subtract 5x from both sides.
x − 5x= 5x + 8 − 5x
−4x= 8
Divide both sides by -4.
−4x/−4= 8/−4
3. First find the perimeter of the trapezoid
4 + 3 + 4 + 8= 19
A square has all equal sides
8 * 4= 32
Add them together
19 + 32 = 51 inches
4. Subtract the amount she put for finance from the total
1598.66 - 320 = 1278.66
Then divide that amount by the 6 months
1278.66 divided by 6 = 213.11
$213.11 each month
The measure of L in triangle LMN is 36°. The measure of M is 75°. What is the measure of N? PLEASE HELP
A.
111°
B.
39°
C.
69°
D.
249°
Answer:
C. m∠N = 69°
Step-by-step explanation:
The sum of the measures of the angles of a triangle is 180.
m∠L + m∠M + m∠N = 180
36 + 75 + m∠N = 180
111 + m∠N = 180
m∠N = 69°
An equation is shown.
x^3 = 125
What are all the possible values of x?
A. -5 only
B. 5 only
C. -5 and 5
D. 5 and 25
Answer:
the answer is C
Step-by-step explanation:
the answer is C
Can someone help out?
Answer:
CD= 6
Step-by-step explanation:
lmk if im wrong or not :)
Answer:
CD = 6
Step-by-step explanation:
AE is equal to 12.5 and the length of the like excluding CD is 6.5 so CD is 6.
2.5 + 2 + 2 = 6.5
12.5 - 6.5 = 6
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer:
i think c. y= 4(3)^x
Step-by-step explanation:
let me know if this is incorrect
Answer:
your answer is the last one!
Step-by-step explanation:
Have good day
please help i’ll give brainliest!!! thanks
Answer:
A the silk road.
Step-by-step explanation:
The transmission of Buddhism to China via the Silk Road started in the 1st century CE with a semi-legendary account of an embassy sent to the West by the Chinese Emperor Ming (58–75 CE). The first missionaries and translators of Buddhists scriptures into Chinese were either Parthian, Kushan, Sogdian or Kuchean.
5. When using substitution in the system of equations, what is the resulting equation?
y=-3x + 5
5x – 4y=-3
a. 5x – 4(-3x+5)=3
b. 5(-3x+5) – 4y =-3
c. y=-3(5x – 4y) + 5
d. – 3x + 5 = 5x – 4y =- 3
Answer:
The answer is "a" 5x-4(-3x+5)=-3
what is the correct solution? from the graph ( x , y )
Solve 2x + 5 = 12 please
Answer:
[tex]x = \frac{7}{2}[/tex]Step-by-step explanation:
move all the terms that don't contain x to the right side and solve.
¯\_(ツ)_/¯
If 4 + 5x = 11 + 4x, then 2x =____?
-20-20+15
Help pleaseeee
Answer:
-25
Step-by-step explanation:
hope this helps
Answer:
-25
Step-by-step explanation:
-20-20 is -40.
-40+15 is -25
Hope this helps
What is the length of the hypotenuse
Answer:
C=17
Step-by-step explanation:
15^2+8^2=c^2
C^2=289
C=17
Solve the triangle: α = 65°, β = 100°, γ = 15°
Answer:
a scalene triangle?
Step-by-step explanation:
Which value is the solution to the equation -8 = 6 - 7x?
A. -7
B. - 2
C. 2
D. 5
Step-by-step explanation:
the answer is c: 2..............
The two-way frequency table shows the laptop color preferences, for a random sample of high school students. Which statement is correct? Select one:
O Most males preferred black laptops.
O Most females preferred black laptops.
O Red was the least preferred color for a laptop, amongst male high school students surveyed.
OBlack was the most preferred color for a laptop, amongst all high school students surveyed.
Answer:
Most males preferred black laptops
Step-by-step explanation:
Solve for x in the diagram below.
Step-by-step explanation:
x+(3x+10)=90
4x+10=90
4x=80
x=20 Ans
A. 65
B. 30
C. 10
D. 50
Answer:
50
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
D. 50
Step-by-step explanation:
∠CGF and ∠AFG add up 180° because they are same side interior angles. We can write an equation to model the situation:
m∠CGF + m∠AFG = 180°
And, we can substitute:
3x - 20 + x = 180
4x - 20 = 180
4x = 200
x = 50
Which figure does not show symmetry?
A.
B.
C.
D
E.
There is a bag of marbles that contains 4 blue marbles, 3 red marbles, 2 green marbles, and 1 brown marble. If one was picked at random, not replaced, and another was picked, what is the probability of both marbles selected to be blue?
Answer:
2/15
Step-by-step explanation:
4/10 * 3/9 = 12/90 = 2/15
judy tosses a coin 3 times. how many different outcomes are there?
Answer:
i can't understand your question is
Answer:
I believe the answer would be 8 if not try 27
PLEASE HELP WILL MAKE BRAINLIEST!
The following cone has a height of 4 inches and a volume of 12π. What is the radius of the cone? Enter your answer as the correct value, rounded to the nearest tenth if necessary.
Answer:
R= 1.69
Step-by-step explanation:
For this, you just have to remember that the volume of a cone is 1/3hπr² (1/3 times pi times the radius squared). Our volume is 12π, so we plug in 12π into our formula, as well as our height of 4 inches, to solve for the radius, like so:
12π=(1/3)(4)πr²
Now we just do the rest of the math.
12π=(1/3)(4)πr²
12=(1/3)(4)r² (divide both sides by π)
3=1/3r² (divide both sides by 4)
9=r² (divide both sides by 1/3)
3=r (take the square root of both sides).
Therefore, the radius of the cone is 3.
DOES ANYONE KNOW HOW TO DO THESE???
Answer:
Step-by-step explanation:
7. The horizontal translation is 3 units to the right, this is determined by the value that is being added or subtracted to x directly. In this case, x is being subtracted by 3 meaning that it is translated 3 units to the right.
8. It is being translated 2 units up. This is determined by the number that is added to the quadratic equation. In this case, it is increased by 2 which means an upward translation. If it was being subtracted it would be a downward translation.
9. Yes, when a quadratic equation has a negative sign outside of it which changes its values it means that it is being reflected.
1) 17, 29, 32, 9, 30, 14, 8, 39, 11, 32, 23
Minimum :
Maximum:
Q1:
Q2:
Q3:
Answer:
Minimum: 8
Maximum: 39
Q1: 11
Q2: 23
Q3: 32
Step-by-step explanation:
Set the numbers into numerical order
8 9 11 14 17 23 29 30 32 32 39
Then separate into quarters
[8 9 11] [14 17 23] [29 30 32] 32 39
3
What is the difference of
21
?
4
Answer:
The difference is 4–3. If you want the difference between 3 and -4, then the difference is 7.
Step-by-step explanation:
The volume of a cone is
42in ^ 3 and the cone's base area is 9in ^ 2
What is the height of the cone ?
Answer: The answer is 0.495
Step-by-step explanation: I got this answer from a volume calculator, I just looked it up on the internet. Hoped this helped!
Which of the following could be the ratio between the lengths of the two legs
of a 30-60-90 triangle?
Check all that apply.
Answer:
1 : root(3)
root(3) : 3
3 : 3root(3)
or
B, F, D
Step-by-step explanation:
ABCD is a rhombus. The diagonals intersect at point E. If angle CDB= 6x and angle ACD= 2x+10, find x.
Answer:
x = [tex]10^{o}[/tex]
Step-by-step explanation:
The diagonals of a rhombus are perpendicular to each other, thus the angle at point E is [tex]90^{o}[/tex]. So that ΔCED is a right triangle, and that;
<CDB = <CDE
<ACD = <ECD
<CDE + <ACD + <CED = [tex]180^{o}[/tex] (sum of angles in a triangle)
6x + (2x + 10) + [tex]90^{o}[/tex] = [tex]180^{o}[/tex]
8x + 100 = [tex]180^{o}[/tex]
8x = [tex]180^{o}[/tex] - 100
8x = 80
x = [tex]\frac{80}{8}[/tex]
= [tex]10^{o}[/tex]
Thus, the value of x is [tex]10^{o}[/tex].
Please help me I don't want to fail my AP class, if you could guide me for the couple steps that would be great.
Answer:
[tex]\frac{x-2}{x-1}[/tex] or [tex]1 - \frac{1}{1-x}[/tex]
Step-by-step explanation:
[tex]\frac{x^{2} -x-2}{x^{2} -2x+1}[/tex] * [tex]\frac{x-1}{x+1}[/tex] =
[tex]\frac{(x-2)(x+1)}{(x-1)^{2} }[/tex]* [tex]\frac{x-1}{x+1}[/tex] =
[tex]\frac{x-2}{x-1} * 1[/tex] = [tex]\frac{x-2}{x-1}[/tex]
If you want to simplify even more:
[tex]1 - \frac{1}{1-x}[/tex]
Leila is at a charity fundraiser and has a chance of receiving a gift 6/17 . The odds in favor of receiving a gift are . Find the probability of Leila receiving a gift.
Answer:
6 / 23
Step-by-step explanation:
The question is not correct, the correct question is:
Leila is at a charity fundraiser and has a chance of receiving a gift. The odds in favor of receiving a gift are 6:17. Find the probability of Leila receiving a gift.
Solution:
Odds provide a measure of the likelihood of a particular outcome occurring. Odds is the ratio of the number of events that produce that outcome to the number that do not.
The probability of an event occurring is the ratio of number of favorable outcomes to the total number of outcomes possible.
Given that the odds in favor of receiving a gift are 6:17. Therefore:
number of favorable outcome = 6, number of unfavorable outcome = 17
Total number of possible outcomes = 6 + 17 = 23
The probability of Leila receiving a gift = number of favorable outcome / Total number of possible outcomes = 6 / 23
The probability of Leila receiving a gift = 6 / 23