Answer:
f^−1(x)=2^x/4
Step-by-step explanation:
The inverse of the function will be;
⇒ [tex]f ^{-1} (x) = \frac{2^{x}}{4}[/tex]
What is Function?A relation between a set of inputs having one output each is called a function.
Given that;
The function is,
⇒ y = log₂ (4x)
Now,
Since, The function is,
⇒ y = log₂ (4x)
Find the inverse of the function as;
⇒ y = log₂ (4x)
⇒ [tex]2^{y} = 4x[/tex]
⇒ [tex]\frac{2^{y}}{4} = x[/tex]
⇒ [tex]f ^{-1} (x) = \frac{2^{x}}{4}[/tex]
Thus, The inverse of the function y = log₂ (4x) is,
⇒ [tex]f ^{-1} (x) = \frac{2^{x}}{4}[/tex]
Learn more about the function visit:
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Write the equation of the graph.
can someone help me please ❤️
Answer:314
Step-by-step explanation:
V=pi r squared
V= 3.14x10 squared
10 squared= 100
V=3.14x 100
V= 314
Lines A and B parallel lines cut by the transversal c. If the measure of angle 5 is 123, what is the measure of angle 1?
Will mark b if correct:)
b Two quadrilaterals both have angles 55°, 65°, 95º and 145º
Felix says, 'The two quadrilaterals are similar.
True or false? Explain why.
Answer:
I say true.
Step-by-step explanation:
cuz both of the quadrilaterals have the same angles and all angles equal 360 °
The price of a new gaming PC was increased from $280 to $364. By what percentage was the price of the gaming PC increased?
MY LAST QUESTION PLZ HURRY
Answer:
1.3%
Step-by-step explanation:
ty in advance for whoever does this. Find the range and put it on the graph. thank you <3
Answer:
Step-by-step explanation:
[tex]y_{1}[/tex] = - 4 - 2( - 3) = 2
[tex]y_{2}[/tex] = - 4 - 2( - 2) = 0
[tex]y_{3}[/tex] = - 4 - 2( - 1) = - 2
[tex]y_{4}[/tex] = - 4 - 2( 0 ) = - 4
[tex]y_{5}[/tex] = - 4 - 2( 1 ) = - 6
Range: { 2, 0, - 2, - 4, - 6 }
[tex]16z - (-12z) =[/tex]
Answer:
4
Step-by-step explanation:
Whats the answer to this?
Step-by-step explanation:
area of figure = 5x² + 3
plz mark my answer as brainlist plzzzz.hope this will be helpful to you if you find it useful ☺️
y-2x=1 does the equation describe a function
yes or no
Answer:
Yes.
Step-by-step explanation:
Joseph and Isabelle left Omyra’s house at the same time. Joseph jogged north at 8 kilometers per hour, while Isabelle rode her bike west at 12 kilometers per hour. Omyra tried to figure out how far apart they were after 1.5 hours. Her work is shown below. Which statements describe her errors? Check all that apply.
A right triangle. The distance north from Omyra's House is 8 kilometers, and the distance west is 12 kilometers.
8 squared + 12 squared = d squared. 64 + 24 = d squared. 88 = d squared. StartRoot 88 EndRoot = d. 9.4 almost-equals d.
She did not find the full distance each traveled in 1.5 hours. She should have used 12 km for Joseph’s distance and 18 km for Isabelle’s distance.
She did not square the 12 in the problem. She should have used 12 squared = 144.
She did not evaluate 8 squared correctly. She should have used 8 squared = 8 (2) = 16.
She did not evaluate StartRoot 88 EndRoot correctly. She should have used StartRoot 88 EndRoot almost-equals 44.
She should not have taken the square root of each side when solving. She should have just divided each side by 2.
She should not have added the squares in the first step. She should have used 12 squared minus 8 squared = d squared.
For this case the distance will be given by:
d ^ 2 = (12 * 1.5) ^ 2 + (8 * 1.5) ^ 2
Rewriting we have:
d ^ 2 = (18) ^ 2 + (12) ^ 2
d ^ 2 = 324 + 144
d ^ 2 = 468
d = root (468)
d = 21.63 Km
Answer:
1) She did not find the full distance each traveled in 1.5 hours.
2) She should have used 12 km for Joseph's distance and 18 km for Isabelle's distance.
Answer:
a and b
Step-by-step explanation:
A triangle's side lengths are 15 cm and 10 cm. Write an inequality to determinte the possible measure for the missing side length.
Answer:
the missing side lenght = x
0 < x < 15+10
0 < x < 25 cm
Can you find the median of these 10 numbers?
49
51
57
50
53
65
60
59
60
66
Answer:
58
Step-by-step explanation:
its the middle of all those numbers
Answer:
65 or 53
Step-by-step explanation:
Dumisani earns R42480 per month. He splits his earnings in the ratio 7:5 and then saves the lesser amount. How much does he save?
Answer:
R17700
Step-by-step explanation:
Dumsani earns R42480 per month. He splits his earnings in the ratio 7:5 and then saves the lesser amount. How much does he save?
First step
We are given the ratio 7:5
The sum of the proportion = 7 + 5 = 12
We are told that he saves the lesser amount
The lesser ratio = 5
Therefore, the amount he saves is
= 5/12 × R42480
= 5 × 3540
= R17700
Therefore, he saves R17700
What is the area ? To this ?
Answer:
9 square feet
Step-by-step explanation:
A = bh / 2
b = 3
h = 6
A = 6 * 3 / 2 = 9
Please help me, thank you so much!! It’s just the words, no photo just so you know.
Answer:
Step-by-step explanation:
formula: a^2 + b^2 = c^2
a^2 + 15^2 = 17^2
a^2 + 30 = 289
-30 -30
a^2 = 259
(square root)
a = approximately 16
My birthday is tomorrow I'm going out of town:) trying to get these hope I do
Answer:
i hope you do too
Step-by-step explanation:
a fidget spinner? HJBDH
write the next three terms of the arithmetic sequence.
5/6, 2/3, 1/2, 1/3, _, _, _,
i will mark as brainliest
The next terms are 1/6, 0, & -1/6.
Can you guys pls pls help me
Answer:
21: 37
They are the opposite side exterior angles
22: 40
23: 126
They are the opposite side exterior angles
24: 1
25: 12
90 - 48 = 42
42 = 3x + 6
36 = 3x
12 = x
26: 41
180 - 139 = x
41 = x
27: 140
180 - 40 = 140
28: 68
90 - 22 = 68
29: False
Complementary angles add up to 90 degrees
Hope this helps!
Karl is comparing the interest rates for accounts at two different banks. He will deposit $600 into an account and will not make any additional deposits or withdrawals. Bank Q offers 1% interest compounded annually. Bank R offers 1.5% simple interest.
Answer: bank R for 1 year
Step-by-step explanation:
Given
Principal deposit is [tex]P=\$600[/tex]
Bank Q offers 1% interest compounded annually
Bank R offers 1.5% simple interest annually
For Bank Q, Compound interest is given by
[tex]\Rightarrow P[1\frac{R}{100}]^t-P[/tex]
for 1 year it is
[tex]\Rightarrow 600[1+\frac{1}{100}]-600=\$6[/tex]
For bank R, simple interest is
[tex]S.I.=\dfrac{P\times R\times T}{100}[/tex]
for 1 year it is
[tex]\Rightarrow S.I.=\dfrac{600\times 1.5\times 1}{100}=\$9[/tex]
Clearly, bank R offers more interest for 1 year
Sarah drove 420 miles in 6 hours. Jonathan drove the same distance going an average of 60 miles per hour throughout the entire trip.
Who was driving faster and by how much?
Answer:
Sarah was driving faster by 10 mph.
She was driving 70 miles per hour while Jonathan was only driving 60 miles per hour.
Pls help o have to return this today
Answer:
Which part of the story's plot structure does this sentence illustrate? I think its B. Climax
true or false: the diagonals of a rectangle bisect opposite angles
Answer:
False
Step-by-step explanation:
diagonals don't have to be congruent or bisect each other. The diagonals of a rectangle bisect its angles.
Select the end behavior of the exponential function shown in the graph
Answer:
The x graph
Step-by-step explanation:
The x graph
Answer: D
Step-by-step explanation:
Colin invests £1100 into his bank account.
He receives 5% per year simple interest.
How much will Colin have after 3 years?
Give your answer to the nearest penny where appropriate.
£
Where: A = P(1 + rt)
A = $1,265.00
I = A - P = $165.00
Equation:
A = P(1 + rt)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 5%/100 = 0.05 per year.
Solving our equation:
A = 1100(1 + (0.05 × 3)) = 1265
A = $1,265.00
The total amount accrued, principal plus interest, from simple interest on a principal of $1,100.00 at a rate of 5% per year for 3 years is $1,265.00.
please help me. alg 2
Find the common ratio of the geometric sequence -13, 39, -117
Answer:
-3
Step-by-step explanation:
you can divide the second term by the first term to solve
39/-13 = -3
then, I like to check that this fits with the third term
39*-3 = -117
so the common ratio is -3
find the surface area/volume for each
Answer:
goodjob
Step-by-step explanation:
What is 35% of 78?
please i rlly need help quick
Answer:
Step-by-step explanation:
100 G
1 L
4 Kg
40 ML
Answer:
100 ml's of butter 1 g of milk 4 l of potatoes and 40 kg's of sour cream
Step-by-step explanation:
pls mark me brainlyest!
Which expression has a value less than 5 ?
O A. 5 +8
O B. –9 + 5
O C. 1+(-8)
O D. 7+ (-2)
Answer:
es la a. 5+8 es esa amigo la respuesta
`what is the sooulition to x + 8 = 25
Answer:
17
Step-by-step explanation:
Well you have to get x by itself so....
subtract 8 from both sides
25 -8 = 17 there is your answer
Hey there!
x + 8 = 25
SUBTRACT 8 to BOTH SIDES
x + 8 - 8 = 25 - 8
SIMPLIFY IT!
x = 25 - 8
x = 17
Therefore, the answer should be: x = 17
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)