Given:
The two functions are:
[tex]f(x)=4^x[/tex]
[tex]g(x)=4^x+2[/tex]
To find:
The type of transformation from f(x) to g(x) in the problem above and including its distance moved.
Solution:
The transformation is defined as
[tex]g(x)=f(x+a)+b[/tex] .... (i)
Where, a is horizontal shift and b is vertical shift.
If a>0, then the graph shifts a units left.If a<0, then the graph shifts a units right.If b>0, then the graph shifts b units up.If b<0, then the graph shifts b units down.We have,
[tex]f(x)=4^x[/tex]
[tex]g(x)=4^x+2[/tex]
The function g(x) can be written as
[tex]g(x)=f(x)+2[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]a=0,b=2[/tex]
Therefore, the type of transformation is translation and the graph of f(x) shifts 2 units up to get the graph of g(x).
Can Someone Help Please And Thank You
Answer:
your answer will be option A.0
Step-by-step explanation:
hope it helps you
have a great day!!
Cold antoje help me answering this please :).
Fake answer will be reported.
Answer:
158.1
Step-by-step explanation:
Distance is the square root of (x1-x2)^2+(y1-y2)^2
square root of (-4-146)^2+(2-52)^2
square root of 150^2+50^2
square root of 22500+2500
square root of 25000
50sqrt10
Rounding is 158.1
An art teacher shares 24 crayons equally among 5 students. The number of crayons that each student gets lies between what two whole numbers? 4 and 5 6 and 7 1 and 2 3 and 4
Answer: 4 and 5
Step-by-step explanation: 24 divided by 5 is 4.8. 4.8 is between 4 and 5. Hope this helps :)
Answer:
Step-by-step explanation:
Caroline is saving up to buy a new video game .she already has $45 and can save an additional $9 per week using money from her after-school job how much total money you would Caroline have after 9 weeks of saving? also write an expression that represents the amount of money Caroline would have saved in W weeks .
WILL GIVE BRAINLIEST ! NEED ANSWER ASAP !!
can someone tell me what the range and asymptote is ? can’t find answers anywhere :’|
Fabian makes a scale drawing of his tree house with a scale factor of 1 foot = 0.44 inch. If the length of the tree house in the drawing is 3.52 inches, what is the actual length of the tree house
[tex]3x + 2x + 90 = 180[/tex]
what is the value of x??
Answer:
18
Step-by-step explanation:
5x+90=180
5x=90
x=18
Can i get brainliest?
Hi there!
[tex]\large\boxed{x = 18}[/tex]
3x + 2x + 90 = 180
Begin by combining like terms:
5x + 90 = 180
Subtract 90 from both sides to isolate for x:
5x + 90 - 90 = 180 - 90
5x = 90
Divide both sides by 5 to further isolate:
5x/5 = 90/5
x = 18.
3/4 / 3/5 divided. write your answer in simplest form or as a mixed number in simplest
Answer: 5/4
Step-by-step explanation:
do the keep change flip method
then it will be 3/4*5/3 which then equals 15/12 after that you would divide by 3 cause it is the only number that would go in evenly then the answer will be 5/4 in the simplest form
Find an equation for each line using Y=mX+b Plzzz help!
Answer:
i believe that all of them are right, if they are not please correct me
Step-by-step explanation:
m= y= 2x +4
p= y= 1x- 1
n= y= -4x
L= y= 0x+ 4
hope this helps!
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer and Step-by-step explanation:
You got the triangle at front, half of 6 is 3, so then you do 4 times 3 divided by 2, which is 6.
There are 4 of those triangles, so 4 times 6 is 24.
Now, we got two rectangles on top. 5 times 12 is 60, and 60 + 60 is 120.
the bottom rectangle is 6 times 12, which is 72.
Now we add.
24 + 120 + 72 is 216
216 [tex]in^2[/tex] is the answer.
#teamtrees #PAW (Plant And Water)
ayuden plis son comparasiones en español plis
Answer:
345.65
80.31
378.08
567.30
9.78
345.57
345.21
56.86
79.30
56.68
Step-by-step explanation:
345.65
80.31
378.08
567.30
9.78
345.57
345.21
56.86
79.30
56.68
Which congruence theorem, if any, can be used to prove that the triangles are congruent?
SAS
SSS
HL
ASA
AAS
not enough info.
please help!!
Answer:
SAS
Step-by-step explanation:
Find 1 2/3 + (-2 1/2)
20, 18, 21, 18, 22, 24, 18, 23, 23, 24 Explain the meeting of the interquartile range as it relates to the number of students in the kindergarten classes
The interquartile range of the data-set is of 5.5, which means that the middle 50% kindergarten classes has a number of students that differ by at most 5.5.
What are the median and the quartiles of a data-set?The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile.The first quartile(Q1) is the median of the first half of the data-set, and is also the 25th percentile.The third quartile(Q3) is the median of the second half of the data-set, and is also the 75th percentile.The interquartile range(IQR) represents the middle 50% of the distribution, and is given by Q3 - Q1.For this problem, the ordered data-set is given by:
18, 18, 18, 20, 21, 22, 23, 23, 24, 24.
There are 10 elements, hence:
The first half is 18, 18, 18, 20, which has median (18 + 18)/2, hence Q1 = 18.The second half is 23, 23, 24, 24, which has median (23 + 24)/2, hence Q3 = 23.5.Then the IQR is:
Q3 - Q1 = 23.5 - 18 = 5.5.
The IQR is of 5.5, which means that the middle 50% kindergarten classes has a number of students that differ by at most 5.5.
More can be learned about the interquartile range of a data-set at https://brainly.com/question/17083142
#SPJ1
-5p + 3.5 = 8
WITH STEPS ON HOW YOU DID IT PLEASE
10) Which equation represents a function of x that is NOT linear? * A. y=4(x+3) B. y=4²+3x C. y=4x+3x² D. (4+x)/3
The equation that represents a function of x that is NOT linear should be option c.
Linear equation:In the linear equation they have only x while on the other hand, in the quadratic equation they have x to the second power
So as per the given situation, the option a, option b, and option d represent the linear equation
Therefore, The equation that represents a function of x that is NOT linear should be option c.
Learn more about an equation here: https://brainly.com/question/17833324
Which of the following is true of a radius of a circle?
(1) Radius is the distance from the center to any point on the circle.
(2) A circle may have radii with different values.
(3) Radius is half the diameter in any circle
Select one:
Only (1) and (2)
Only (2) and (3)
Only (1) and (3)
All (1), (2) and (3)
I need an answer ASAP.
Which tiles should be added to the model below to make zero?
DOOOOO
6 negative tiles
6 positive tiles
3 negative tiles and 3 positive tiles
6 negative tiles and 6 positive tiles
One number is four more than four times another. If their sum is decreased by six, the result is thirteen. Find the numbers.
The smaller of the numbers is ____and the larger is ____.
(take π=22/7). height of trapezium with parallel sides 6cm and 8cm and 63cm2.
Answer:
Circumference = 39.6 cm
We know:
Circumference of a circle = 2πr
⇒39.6 =2×
22
7
×r⇒
39.6×7
2×22
=r⇒r=6.3 cm
Also,
Area of the circle = πr2
=
22
7
×6.3×6.3=124.74 cm2
Step-by-step explanation:
#CarryOnLearning
Chris worked 28 hours last month and earned $9 per hour. He spent $18 of his earnings since then.How much money does he have left
Answer:
$234
Step-by-step explanation:
28 x 9 = $252
$252 - $18 = $234
List six pieces of evidence for a chemical reaction:
Answer:
Temperature change, Color change, Odor change, Formation of gas, Precipitation
two times the sum of a number and 3 is 8.
Answer:
The number is 1.
Step-by-step explanation:
The number is x.
2(x + 3) = 8
2x + 6 = 8
2x + 6 - 6 = 8 - 6
2x = 8 - 6
2x = 2
2x ÷ 2 = 2 ÷ 2
x = 1
Consider the following expression.
4x4y+4y3
Identify the degree.
Answer:
Consider the following expression: 3x. 2. +7x−2−4x. It can also come as 16xy+4y
=3.
what is the measure of angle c
Answer: D+<B=180
x+24+x+10=180sum of opposite angle of quadrilateral is 180
2x=180-34
x=146/2=73
again
<A+<C=180sum of opposite angle of quadrilateral is 180
x+15+<C=180
73+15+<C=180
<C=180-88=92° is your answer
One side of a rectangle is three times as long as another. If its area is 363 square centimeters, find its dimensions.
Shorter side:
Longer side:
9514 1404 393
Answer:
11 cm by 33 cm
Step-by-step explanation:
You can solve this problem mentally as follows.
Consider the rectangle as 3 squares, side-by-side. Then the area of each of those squares is 363/3 = 121 cm^2. From your knowledge of the squares of numbers, you know that 121 = 11^2. So, the width of the rectangle is 11 cm, and the length is 3 times that, or 33 cm.
_____
Using variables, we can let w represent the width. Then 3w can represent the length, and the area is ...
A = LW
A = (3w)(w) = 3x^2 = 363
w^2 = 363/3 = 121
w = √121 = 11
3w = 3·11 = 33
The width is 11 cm; the length is 33 cm.
Answer:
Shorter side: 11 cm
Longer side: 33 cm
First, write down what you know:
length=3*width, this can be written as 3w
area=363 sq cm
Now we know the formula for the area of a rectangle= length * width so we can substitute what we know into the formula. It looks like this:
363 (area) = 3w (length) × w (width)
[tex]363=w^2[/tex]
divide both sides by 3 to get: 121 = [tex]w^2[/tex]
take the square root of both sides to get: w=11 (square root of 121 is 11)
Now that we know what the width is, we can substitute that and find the length: 3w = 3 × 11=33
So length (longer side) is 33cm and width (shorter side) is 11cm.
*To check this, plug the numbers into the area formula: Area=33 × 11 = 363 sq cm.
Please mark brainiest if you can
6. the quotient of kand 14
Answer:
[tex]Q = \frac{k}{14}[/tex]
Step-by-step explanation:
Given
k and 14
Required
Determine the quotient
Quotient implies that we divide k by 14.
So, the quotient (Q) of k and 14 is:
[tex]Q = \frac{k}{14}[/tex]
(20 points)
What is the value of x?
☁︎
A:9.5
☁︎
B:10.6
☁︎
C:12.0
☁︎
D:25.0
Answer:
B. 10.6
Step-by-step explanation:
(x + 15)*15 = (20 + 12)*12 => interacting secants theorem
15x + 225 = (32)*12
15x + 225 = 384
Subtract both sides by 225
15x = 384 - 225
15x = 159
Divide both sides by 15
x = 159/15
x = 10.6
Can you please help?
Answer:
change in X is 12
Step-by-step explanation:
The new value of the x is 15 and it went from 3, so the change is 12
WILL MARK BRAINLEIST IF RIGHT
Type the correct answer in the box. Use numerals instead of words. Enter your answer as a fraction in simplest form, using / for the fraction bar.
A high school athlete has been offered football and track and field scholarships to multiple universities. For football, he has 3 offers in Alabama, 3 in North Carolina, and 2 in Florida. For track and field, he has 4 offers in Florida, 5 in Texas, and 4 in California.
The probability that he chooses to play football in North Carolina is______.
outside the box around each page or on blank pages. ... You may ask for more answer paper, graph paper and tracing paper. ... g as a fraction of 3 kg. Give your answer in its simplest form. [2 marks]. Answer ... 10 (a) Which two properties does the number 4 have? ... 10 (c) Write down a number with three of the properties.
answer: 3/8
all of the football scholarships added together is 8 and he has 3 offers from north carolina so 3/8