Answers
The new function g(x) which is equal to f(2x) will be stretched or compressed by the factor 2.
What is a function?It is defined as a special type of relationship and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a function f(x) shown in the coordinate plane.
The function g(x) = f(2x)
As we can see in the new function g(x) it is the transformation of the f(x).
Transformation is applied as below:
x → 2x (x is replaced by the twice of it)
= f(x)
= f(2x)
= g(x)
When the function is multiplied by a positive number it will be stretched or compressed according to that factor vertically and in the given function the factor is 2 which means the g(x) will be stretched or compressed according to that factor.
Thus, the new function g(x) which is equal to f(2x) will be stretched or compressed by the factor 2.
Learn more about the function here:
brainly.com/question/5245372
Related Questions
Find the final amount of money in an account if
$
6
,
700
is deposited at
7
%
interest compounded weekly and the money is left for
10
years.
Answers
Answer:
7064
Step-by-step explanation:
Work out the mean for the data set below: 207, 208 Give your answer as a decimal.
Answers
Answer:
207.5 is the answer.
Step-by-step explanation:
Add up the numbers (207 + 208) = 415.
Then divide how many numbers, since the problem gives us 2 numbers, you divide 415 by 2.
That is how you find the mean.
A man bought a scooter for $100 and sold it for $120. He later bought it back for $140 and sold it again for $160. How much did he make or lose as a scooter salesman? (NO LINKS WILL REPORT WITH OUT HESITATION)
Answers
Answer:
Step-by-step explanation:
- 100
+ 120 = 20
-140 = -20
+160 = 20
so every time he sold it, he gained 20 and lost 20 every time he bought it back
Help—
Natalie is having a birthday party and it's time to cut
the cake.
Unfortunately she doesn't know how far she needs to
cut from the center to the edge of the cake.
She remembered the baker told her that the
circumference is 46 inches.
How far should Natalie cut?
**NO spaces
**Include units
**Round to the nearest hundredths
Answers
Answer:
7.32 inches
Step-by-step explanation:
The circumference of the circle is 46 inches, and you just have to find the radius... you do the 2xpixr=C backwards. So 2xpixr=46 simplify the expression; 6.28xr=46 then divide... r=46/6.28... Which rounds to 7.32 inches as the radius.
(And yes you are finding the radius if you are finding a line from the middle of the circle to an edge)
I hope this helps :))
the function g is defined as follows for the domain given. g(x)=2x-2, domain=(-3,-2,1,5). find the range of g using set notation.
Answers
Answer:
[tex]Range: \{y|y = -8,-6,0,8\}[/tex]
Step-by-step explanation:
Given
[tex]g(x) = 2x - 2[/tex]
[tex]x = \{x|-3,-2,1,5\}[/tex]
Required
The range using set notation
We have:
[tex]g(x) = 2x - 2[/tex]
When [tex]x = -3[/tex]
[tex]g(-3) = 2*-3 - 2 = -8[/tex]
When [tex]x = -2[/tex]
[tex]g(-2) = 2*-2 - 2 = -6[/tex]
When [tex]x = 1[/tex]
[tex]g(1) = 2*1 - 2 =0[/tex]
When [tex]x=5[/tex]
[tex]g(5) = 2*5 - 2 =8[/tex]
So, we have:
[tex]y = -8,-6,0,8[/tex]
Using set notation, the range is:
[tex]Range: \{y|y = -8,-6,0,8\}[/tex]
please help me and use laws of exponents
Answers
Answer:
1/8*1/3^3
1/8*1/27
1/216
Step-by-step explanation:
just bring 3^-3 down then it will be positive.when u do so it will be1/3^3 .
A company manufactures aluminum mailboxes in the shape of a box with a half-cylinder top. The company will make 1863 mailboxes this week. If each mailbox has dimensions as shown in the figure below, how many square meters of aluminum will be needed to make these mailboxes? In your calculations, use the value for , and round up your answer to the next square meter.
Answers
9514 1404 393
Answer:
3433 m^2
Step-by-step explanation:
The total surface area is the sum of the end areas and the lateral area.
The end areas together are a circle of diameter 0.4 m and two rectangles that are 0.4 m by 0.55 m.
End areas = πr^2 + 2LW = 3.14(0.2 m)^2 + 2(0.4 m)(0.55 m)
= 0.1256 m^2 +0.44 m^2 = 0.5656 m^2
The perimeter of the end piece is half the circumference of a 0.4 m circle and three sides of a 0.4 m by 0.55 m rectangle.
P = (1/2)πd + 2L +W = 1/2·3.14·0.4 m + 2(0.55 m) + 0.4 m = 2.128 m
The lateral area of the mailbox is the product of its length and the perimeter of the end piece:
LA = PL = (2.128 m)(0.6 m) = 1.2768 m^2
Then the total surface area of the mailbox is ...
0.5656 m^2 + 1.2768 m^2 = 1.8424 m^2
__
The area of aluminum required for 1863 mailboxes is ...
1863 × 1.8424 m^2 ≈ 3433 m^2
About 3433 square meters of aluminum are needed to make these mailboxes.
Solve the system of linear equations by substitution 12x+y=−4 y=2x+16
Answers
Answer:
Your solution is (-10/7, 92/7)
Step-by-step explanation:
12x + y = -4
y = 2x + 16
To use substitution, we want to plug one variable's equation into the other equation.
We can see that y is already solved for us. Plug y into the first equation.
12x + y = -4
12x + (2x + 16) = -4
Combine like terms.
14x + 16 = -4
Subtract 16 from both sides.
14x = -20
Divide both sides by 14.
x = -20/14
x = -10/7
Now that we know x, we will plug it into one of the other equations.
y = 2x + 16
y = 2(-10/7) + 16
Multiply.
y = -20/7 + 16
Add.
y = -20/7 + 112/7
y = 92/7
Your solution is (-10/7, 92/7)
Hope this helps!
Find the mean proportion between 28 and 63.
Answers
Answer:45.5
Step-by-step explanation:
Suppose that a farmworker was making a banner for a march that has a length of 5x + 1 and a
width of 3 feet. If the area of the banner is equal to 33 square feet, what is the length of the
banner in meters? Round your answer to the nearest hundredth of a meter.
Answers
Answer:
The length of the banner would be 11.00 meters.
Step-by-step explanation:
Solve for xxx in the diagram below.
Answers
2x+112=180
-112. -112
2x= 68
/2. /2
X= 34
How do to solve 7x-1 over 22 = 3x+1 over 10
Answers
Answer:
7x-1/22 = 3x+1/10
Multiply both sides of the equation by the Lowest common Multiple of the denominators(22 and 10). This is done to clear the fractions.
The LCM of 22 and 10 is 110
So
110 x(7x-1/22) = 110 x (3x+1/10)
110/22 =5
110/10 = 11
So the eqn now becomes
5(7x-1) = 11(3x+1)
Opening the parentheses
35x - 5 = 33x + 11
Collect Like Terms
35x - 33x = 11 + 5
2x = 16
x= 8.
Find an equation of the line passing through the pair of points. Write the equation in slope-intercept form.
(3,7), and (7.3)
y=0
Answers
Answer:
y=10-x
Step-by-step explanation:
1. Find the slope of the equation using the formula (change in y/change in x)
(3-7)/(7-3)=-4/4=-1
2. Plug in the slope and one of the coordinate points to the slope-intercept form to find the y-intercept.
slope-intercept form: y=mx+b
7=-3+b
b=10
3. Put the slope-intercept form of the equation together.
y=10-x
need help with this
Answers
(A) delta h(t) = 32
Step-by-step explanation:
Average rate of change delta h(t) is given by
[tex]delta \: h(t) = \frac{h(b) - h(a)}{b - a} [/tex]
at t = 0, h(0) = 80
at t = 2, h(2) = -16(4) + 64(2) + 80 = 144
Plugging in the numbers
delta h(t) = (144 - 80)/(2 - 0)
= 32
The ordered pair (3, 2) is the solution of which system
of equations?
Answers
Answer:
A solution to a linear system, or simultaneous solution, is an ordered pair (x, y) that solves both of the equations. In this case, (3, 2) is the only solution.
Step-by-step explanation:
Pls help simplify! I’ll give brainlest
Answers
Answer:
3^12
Step-by-step explanation:
Answer:
3^12
Step-by-step explanation:
What is the median of the data set shown below? {2,4,4, 6, 6, 8, 10, 11, 11, 11} OA) 7 OB) 7.3 OC) 9 OD) 11
Answers
Answer:
The median is going to be 7
Can someone help me
Answers
Answer:
8
Step-by-step explanation:
If DEF has 2 bottom pieces that are both 6 which is equal to 12 then you just add 4+4 because both of the pieces on ABC are 4 and so 8 is your answer.
Find the common ratio for the geometric sequence
-24, -12, -6
Answers
95/100 can be written as
19/20
13/20
19/10
Answers
Answer:
I quite strongly believe that the first option is the correct one since the following applies,
19/20
20*5=100
and
19*5=95
which in the end is equivalent to 95/100
In the diagram, ATPR ~ AXPZ. Find the length of the altitude PY
Х
4.5
Р
own W 4
Y
4.5
Z
The length of altitude PY is
Can someone help me pls
Answers
last year Patrick paid £2534 for his annual train ticket this year he has to pay £2612 for his annual train ticket. work out the percentage increase in the cost of his train ticket. give your answer correct to 3 significant figures.
Answers
Answer:
Percentage increase in the cost of his train ticket = 3% (Approx.)
Step-by-step explanation:
Given:
Cost of annual ticket paid by Patrick last year = £2,534
Cost of annual ticket paid by Patrick current year = £2,612
Find:
Percentage increase in the cost of his train ticket
Computation:
Percentage increase = [(Current - Base) / Base]100
Percentage increase in the cost of his train ticket = [(2,612 - 2,534) / 2,534]100
Percentage increase in the cost of his train ticket = [(78) / 2,534]100
Percentage increase in the cost of his train ticket = [0.03078]100
Percentage increase in the cost of his train ticket = 3.078
Percentage increase in the cost of his train ticket = 3% (Approx.)
Find the missing side. Round to the nearest tenth.
Answers
Answer:
take 72 degree as reference angle
using cos rule
cos 72=b/h
0.30=6/x
0.30x=6
x=6/0.30
x=20
Step-by-step explanation:
What two reactants are needed to undergo the process of cellular respiration?
Answers
Answer:
Cellular respiration is the process responsible for converting chemical energy, and the reactants/products involved in cellular respiration are oxygen, glucose (sugar), carbon dioxide, and water. While the exact steps involved in cellular respiration may vary from species to species, all living organisms perform some type of cellular respiration.
Step-by-step explanation:
Find the slope of the lines shown in the graph
Answers
Blue: 4/2
Black: 1/3
Help? Can anyone help me out? I’ll give Brainly! :) thank you!
Answers
Answer:
B
Step-by-step explanation:
$970+$2436= $3,406
the 10% and 12% tax brackets equal out to $749.32 total deducted (22%)
the sum of three consecutive multiples of 7 is 44. Find the multiples.
Answers
Answer:
here's the Answer...see that
Step-by-step explanation:
write the slop intercept form of the equations below.
1. slope= 1/4,y intercept = 4
2. y-5=-4(x+1)
Answers
2 is y=x+1
Step-by-step explanation:
Given :-
1. slope= 1/4,y intercept = 42. y-5=-4(x+1)And we need to find the slope intercept form of the line . The slope intercept form of a line is y = mx + c , where m is the slope and c is the y intercept. Substitute respective values ,
Solution 1 :-
[tex]:\implies[/tex] y = mx + c
[tex]:\implies[/tex] y = 1/4 x + 4
[tex]:\implies[/tex] 4y = x + 16
[tex]:\implies[/tex] x - 4y + 16 = 0
Solution 2 :-
[tex]:\implies[/tex] y - 5 = -4( x +1)
[tex]:\implies[/tex] y -5 = -4x -4
[tex]:\implies[/tex] y = -4x +1
which graph represents this exponential function?
f(x) = 3(2)x -4
Answers
Answer:
show a graph?
Step-by-step explanation:
the cost of a movie ticket depends on your age . the piecewise function below gives the cost of a movie ticket for children , adults , senior citizens .
a) how much does a ticket cost of a movie goer is 22 years old
b) find c(8) and explain it's meaning in context .
Answers
Answer:
8.50
Step-by-step explanation: