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).
(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
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)
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]
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:
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
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
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 ____.
-5p + 3.5 = 8
WITH STEPS ON HOW YOU DID IT PLEASE
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
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
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
(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
Find 1 2/3 + (-2 1/2)
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 .
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:
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!!
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
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
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
List six pieces of evidence for a chemical reaction:
Answer:
Temperature change, Color change, Odor change, Formation of gas, Precipitation
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.
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
[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.
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)
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!
WILL GIVE BRAINLIEST ! NEED ANSWER ASAP !!
can someone tell me what the range and asymptote is ? can’t find answers anywhere :’|
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
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
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