Consider the function shown below.
g(x) = 2^x
If the function g is horizontally compressed by a factor of 1/2 and reflected across the x-axis to obtain function f, which of the following graphs matches the above transformation?
The graph of the transformation by of horizontally compressing g(x) by a factor of 1/2 and then reflecting across the x-axis is graph Y
How to determine the graph?The function is given as:
[tex]g(x) = 2^x[/tex]
When compressed horizontally by a factor of 1/2, the transformation rule is:
g'(x) = g(2x)
So, we have:
[tex]g(2x) = 2^{2x}[/tex]
[tex]g(2x) = 4^x[/tex]
When reflected across the x-axis, the transformation rule is:
[tex](x,y) \to (x,-y)[/tex]
So, we have:
[tex]f(x) = -4^x[/tex]
The graph represented by this is graph Y.
Hence, the graph of the transformation is graph Y
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Help with these will give brainliest
Answer:
$ 45,600
Step-by-step explanation:
Evaluate the following expression.
1/5^-2
I need help on this question
Karen wants to string lights around the edge of her deck. The shape and dimensions of her deck are shown in the diagram
How many feet of lights does she need to get the lights around her deck?
Answer:
She needs 70ft of lights
Step-by-step explanation:
37.7in
aments
endar
7. A cylindrical test tube holds 6n cm3 of liquid when filled to the 6 cm mark. What is the
diameter of the
test tube to the nearest hundredth of a centimeter?
Answer:
Rewrite the question correctly! it's totally absurd
CAN SOMEONE answer this question please
Answer:
x = 18
y = 27
Step-by-step explanation:
Answer:
x = 18
y = 27
Step-by-step explanation:
it is 20 miles from the airport to the hotel. The driver says that there is 1/8 of the total distance left to travel. What distance has already been driven?
Answer:
2.5mi
Step-by-step explanation:
?/20 = 1/8
^ If you turn into a percentage you get 1/8 = 12.5%
so now the question is v
what is 12.5 percent of 20?
which is 2.5
I WOULD CHECK FIRST, NOT 100 PERCENT SURE
Which expression is already in its simplified form?
a.) 3t+ (s +t)
b.) 6h + 2(h+ 3k)
c.) 5m + 7mn + 4n
d.) 8 + y3 - 5z2 + 2y3
what is the area of 1 1/5 width and 1 1/3 length
Answer:
1.6 unit^2 (dec. form) or 1 3/5 unit^2 (frac. form)
Step-by-step explanation:
(1 1/5)(1 1/3)
(6/5)(4/3)
1.6 unit^2 (dec. form) or 1 3/5 unit^2 (frac. form)
What is the fraction for 0.85?, what is the percent for 0.85?. What is the ratio for 0.85
Answer:
Fraction: 17/20
Percent: 85%
Ratio: 85 out of 100
Step-by-step explanation:
Step-by-step explanation:
Fraction = 85/100 = 17 / 20
Percent = 17 / 20 × 100 = 85%
Ratio = 17 : 20
please help with this?!?
Answer:
196.1
Step-by-step explanation:
Area of a circle is [tex]\pi r^{2}[/tex] so in order to find the radius you divide the diameter by 2 to get 7.9
Then you do [tex]7.9^{2}[/tex] x [tex]\pi[/tex] to get around 196.1
Type the correct answer in the box.
Given : b ┴ d
c || b
b || e
What line is perpendicular to line e?
Answer:
d is parallel to e
Step-by-step explanation:
Since b is parallel to e and d is perpendicular to b , then
d is perpendicular to e
The expression 10,000(0.90)^t represents the population of a town t years after 2000. Select the value from each drop down menu that best completes the sentence. The population of the town____ by___ each year.
choices:
increase/decrease
1%, 10%, 90%, 9% or 10K%
Answer:
decrease by 10％ each year
ALGEBRAICALLY solve the following system of equations:
y= 22 - 4x + 6 and y=x + 2
On her coffee table, Anita has a pile of 9 magazines. She plans to get through 2 of them over
the weekend. How many sequences of 2 magazines are possible?
sequences
Answer:
either of the 2 is read so the answer is 2/9
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:
A is the answer.
Step-by-step explanation: It would go up about 2.2 i hope i helped! <3
Answer: A is your answer
Step-by-step explanation:
4h + 14 > 38
What’s the answer
Answer:
Inequality Form:
h > 6
Interval Notation:
( 6 , ∞ )
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Elena notices that when she spends less time on social media the night before a quiz, she gets a higher score. Before one quiz, she spent 107 minutes on social media and eamed 37 points on a
quiz. Before another quiz, she spent 73 minutes on social media and eamed 11 points on a quiz
write a function to model a linear relationship between Elena's social media usage, in minutes, and her quiz scores, assuming that the total number of points on each quiz remains a constant
Respond in the space provided
Answer:
[tex] f(x) = -\dfrac{2}{17}x + \dfrac{843}{17} [/tex]
Step-by-step explanation:
Given:
Score of 37 with 107 minutes on social media.
Score of 41 with 73 minutes on social media.
The two pieces of information above can be thought of as two points on a line. Since the quiz score is a function of the number of minutes on social medial, let the number of minutes on social media be x and the score be y. The given information gives us two ordered pairs: (107, 37) and (73, 41).
Now we need to write the equation of a line that passes through these two points.
The two-point form of the equation of a line is:
[tex] y - y_1 = \dfrac{y_2 - y_1}{x_2 - x_1}(x - x_1) [/tex]
We have [tex] x_1 = 107 [/tex], [tex] y_1 = 37 [/tex], [tex] x_2 = 73 [/tex], and [tex]y_2 = 41[/tex].
[tex] y - 37 = \dfrac{41 - 37}{73 - 107}(x - 107) [/tex]
[tex] y - 37 = \dfrac{4}{-34}(x - 107) [/tex]
[tex] y - 37 = -\dfrac{2}{17}(x - 107) [/tex]
[tex] 17y - 629 = -2x + 214 [/tex]
[tex] 17y = -2x + 843 [/tex]
[tex] y = -\dfrac{2}{17}x + \dfrac{843}{17} [/tex]
[tex] f(x) = -\dfrac{2}{17}x + \dfrac{843}{17} [/tex]
Find the value of the variables in the image above
Answer:
x = 8[tex]\sqrt{3}[/tex] , y = 8
Step-by-step explanation:
Using the sine and cosine ratios in the right triangle and the exact values
sin60° = [tex]\frac{\sqrt{3} }{2}[/tex] , cos60° = [tex]\frac{1}{2}[/tex]
sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{16}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )
2x = 16[tex]\sqrt{3}[/tex] ( divide both sides by 2 )
x = 8[tex]\sqrt{3}[/tex]
----------------------------------------------------------
cos60° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{y}{16}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
2y = 16 ( divide both sides by 2 )
y = 8
X Kawika had to raise the flag this morning. The 15 ft flag pole casted at
shadow with the ground at a 35° angle. What is the length of the
shadow? (Round answers to the nearest tenth) *
Answer with JUST THE NUMBER, without writing out the unit after the number.
help pleaseee, no links!
Luke now takes 20 cards numbered 1 to 20. Show how the cards can
be paired to give an LCM of 60.
Answer:
Step-by-step explanation:
The pair members cannot be multiplied. Look at the last numbers that are prime starting with eleven
What are you going to pair these primes with
11 13 17 19
So they must be added (or maybe subtracted).
1 19
2 18
3 17
4 16
5 15
6 14
7 13
8 12
9 11
and 20 which no matter how you do this, there will be 1 card left over.
Each of them adds to 20 so the LCM is 20
Two square posters are hanging on a wall. The large poster has an area of 144 square units, and the small poster has an area of 100 square units. How much bigger is the perimeter of the large poster than the perimeter of the small poster?
Answer:
8
Step-by-step explanation:
If you do the math with the area to find out the perimeter, and you will find the largest one to be the poster with the area of 144 , and the smaller one to be the one with the area of 100
Answer:
Length= squre root of area
Length of big poster = squre root of 144
=12
Length of small poster=squre root of 100
=10
The perimeter = 4*length
Big poster perimeter=4*12=48
Small poster perimeter =4*10=40
The difference= 48 - 40 = 8
It is bigger by 8
What are the finance charges?
$3.79
$4.68
$5.32
$7.50
Answer:
These types of finance charges include things such as annual fees for credit cards, account maintenance fees, late fees charged for making loan or credit card payments past the due date, and account transaction fees.
Answer:
3.79
Step-by-step explanation:
took the test and got the answer. Hope this helps!
find the slope. (no units needed)
Answer: 4/5
Step-by-step explanation: It is 8/10, but if you simplify it, it is 4/5.
The area of the base is 7 cm. What is the surface area of the pyramid?
Answer: 34.5
Step-by-step explanation:
(Base · Height) ÷ 2 → (2 · 4.5) ÷ 2 = 5.5
5.5 · 5 = 27.5
27.5 + 7 = 34.5
You have 35 plants. You want to split them equally between 4 sections of your garden. You use as many as you can in each section. How many plants do you have left?
answer:
3 plants are left !
step-by-step explanation:
hi there!
first lets use our times table to see which number gets use closest to 35 when it is multiplied by 4
4, 8, 12, 16, 20, 24, 28, 32,
4 * 8
= 32
then you can just subtract 35 by 32 to get you final answer of
35 - 32
= 3 plants are left over
( i hope i did the problem right since the wording of it was kinda hard to understand it )
________________________________________________________
| | | | |
| 1 | 2 | 3 | 4 |
| | | | |
________________________________________________________
| | | | |
| 5 | 6 | 7 | 8 |
| | | | |
________________________________________________________
| | | | |
| 9 | 10 | 11 | 12 |
| | | | |
________________________________________________________
| | | | |
| 13 | 14 | 15 | 16 |
| | | | |
________________________________________________________
| | | | |
| 17 | 18 | 19 | 20 |
| | | | |
________________________________________________________
| | | | |
| 21 | 22 | 23 | 24 |
| | | | |
________________________________________________________
| | | | |
| 25 | 26 | 27 | 28 |
| | | | |
________________________________________________________
| | | | |
| 29 | 30 | 31 | 32 |
| | | | |
________________________________________________________
i made a table with each number being the plant! just in case your a visual learner like me!
but i hope this help you and if i made anything confusing or if i made a mistake please let me know! but other then that i hope you have a good rest of your day :)
There are 3 plants left.
What is Division method?
Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
Total number of plants = 35
And, You want to split them equally between 4 sections of your garden.
Now,
To find the left plants after splitting into 4 sections, we can divide and find the remainder as;
The number of left plants = 35 ÷ 4
4 ) 35 ( 8
- 32
-------
3
Clearly, The remainder = 3
Thus, There are 3 plants left.
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A sphere has a diameter of 4(x+3) centimeters and a surface area of
784 square centimeters. Find the value of x.
Answer:
78 square centimeters
Step-by-step explanation:
3 1/3 x 4 3/4 please