Answer:
The inverse of the function is [tex]f^{-1}(x) = \sqrt[3]{\frac{x-16}{8}}[/tex]
Step-by-step explanation:
Inverse of a function:
Suppose we have a function y = g(x). To find the inverse, we exchange the values of x and y, and then isolate y.
In this question:
[tex]y = \frac{x^3}{8} + 16[/tex]
Exchanging x and y:
[tex]x = \frac{y^3}{8} + 16[/tex]
[tex]\frac{y^3}{8} = x - 16[/tex]
[tex]y^3 = \frac{x-16}{8}[/tex]
[tex]y = \sqrt[3]{\frac{x-16}{8}}[/tex]
The inverse of the function is [tex]f^{-1}(x) = \sqrt[3]{\frac{x-16}{8}}[/tex]
5 + 0.55x = 10 + 0.75x pls help and explain
Step-by-step explanation:
hope it is helpful to you
X = -25
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
0.55x + 5 = 0.75x + 10
Step 2: Subtract 0.75x from both sides.
0.55x + 5 − 0.75x = 0.75x + 10 − 0.75x
−0.2x + 5 = 10
Step 3: Subtract 5 from both sides.
−0.2x + 5 − 5 = 10 − 5
−0.2x = 5
Step 4: Divide both sides by -0.2.
−0.2x/−0.2 = 5/−0.2
x = −25
PLS DUE RN
WILL GIVE
BRAINLIST
Answer:
44 in.
Step-by-step explanation:
3 ft 8 in.
1 ft = 12 in.
3 ft = 36 in.
36 in. 8 in.
44 in.
A state in the United States has 193,116 residents living in 22 countries.
[tex]\frac{1}{y} :\frac{22}{193,116}[/tex]
y · 22 = 1 · 193,116
22y = 193,116
22y ÷ 22 = 193,116 ÷ 22
y = 8778
The rate is 8778.
In Prodigy, Luigi's inventory weighs 3 2/3. He is collecting old socks which each weigh 4/3.
Construct an equation that represents the total weight of Luigi's inventory based on how many old socks he collects. Use fractions or decimals as given in the question.
Let the total weight of his inventory be represented as i.
Let the total weight of the old socks collected be represented as s.
i = ? (s) + 3 2/3
What is the total weight of his inventory if he collects 27 books? ( Your final answer should be a decimal)
i = 4/3 (27) + 3 2/3 = ?
Answer:
the answer should be like 24 sorry if im wrong
Step-by-step explanation:
Activity 4:
roup
Evaluate 2x + 5 if:
1. X=5
2. X=4
3. X=-7
4. x = 0
5. x= 13
please anwer it
Answer:
1. 15
2. 13
3. -9
4. 5
5. 31
just put the values in the given equation.
:)
HELP ME THIS IS SO MANY POINTS AND I WILL GIVE BRAINLIEST!!!
Answer: (b)
Step-by-step explanation:
Given
[tex]f(x)=x^2[/tex]
Now, [tex]f(x)[/tex] is transformed to [tex]g(x)[/tex]
and [tex]g(x)[/tex] is obtained by replacing [tex]x[/tex] with [tex]\frac{x}{2}[/tex] in [tex]f(x)[/tex]
[tex]\therefore g(x)=\left(\dfrac{x}{2}\right)^2\\\\g(x)=\dfrac{x^2}{4}[/tex]
Plot [tex]f(x)[/tex] and [tex]g(x)[/tex] and it can be observed that domain, range, and vertex is same for both the function.
[tex]f(x)[/tex] is narrower compared to [tex]g(x)[/tex]. Therefore, option (b) puts up the invalid reasoning. Hence option (b) is not a true statement.
CARD #8: Henry says that the two figures will be congruent. A figure on a coordinate plane is dilated by a scale factor that is less than one. Heather says that the two figures will be similar.
Answer:
Heather is correct.
Step-by-step explanation:
Two figures are similar if the figures have the same shape but different size
Two figures are congruent if they have the same shape and size.
So, if we dilate a given figure (by any factor different than one) then we are changing the size of this figure.
Finally, a figure and its dilation can't be congruent, as these figures have different size (but still have the same shape, so the figures are always similar)
Then Heather is correct.
PLS HELP WITH THESE TWO QUESTIONS PLSSS
NO LINKS
Answer:
B for the first one
C for the second one
Step-by-step explanation:
i know probability
PLEASE ANSWER ASAP WILL MARK BRAINLIEST!!
SELECT ALL THAT APPLY
Which of the following are INDEPENDENT events?
a.) You randomly choose 2 socks from a drawer, hoping they will match.
b.) You draw a marble from a bag, replace it, and draw again.
c.) You draw two numbers from 1 to 10 from a hat without replacing the first.
d.) You flip a coin and roll a number cube.
Answer:
The answer is D.
An event D is said to be independent of another event.
Astronomers classified the planets into six sizes with five atmosphere types and four average temperature ranges. How many different planet types are there?
Which term contains a coefficient?
m + 3n + p + 3
Answer:
3nStep-by-step explanation:
A coefficient is a number (integer) which is multiplied with an unknown value (the variable of a single term or the terms of a polynomial).
In this case , n is the variable of a single term and 3 is the coefficient.
Please please help!!!!
Answer:
7 and 1/4
Step-by-step explanation:
Answer:
The answer is 7 1/4 or 29/4
Step-by-step explanation:
Find the measure of a 3.
ts
43
90°
<<
43 = [?]
The correct answer is 90
If a plate is moving 3.3 cm/yr, what distance [in kilometers (km)] will the plate move in 1 million years?
[tex]\huge{\textbf{\textsf{{\color{pink}{An}}{\red{sw}}{\orange{er}} {\color{yellow}{:}}}}}[/tex]
33 km3.3cm = 0.000033km (divide by 100,000.
So, 0.000033km/yr.
0.000033 × 1,000,000
=33km
Thanks Hope it helpsGuys can you help me please :( ASAP
Answer:
The answer is 25 + 11
Step-by-step explanation:
Hope this helps
solve each inequality. Then graph the solution.
Answer:
The first one is an open circle at -2 going right.
The second one is a closed circle at -2 going left.
The third one an open circle at -1.5 going left.
Step-by-step explanation:
I hope the helped :)
Answer:
Uh i have no idea
Step-by-step explanation:
Find the volumes of the solids whose bases are bounded by the circle x^2 + y^2 = 9, with the indicated cross sections taken perpendicular to the x-axis.
a) Squares
x ^2 + y ^2 = 9 => y = y(x) = ± √(9 - x ^2)
Each cross section would be a square with side length equal to the vertical distance between the upper and lower semicircles defined by y(x), which is
√(9 - x ^2) - (- √(9 - x ^2)) = 2 √(9 - x ^2)
The area of each square section is the square of this length,
(2 √(9 - x ^2)) = 4 (9 - x ^2) = 36 - 4x ^2
We get the whole solid for -3 ≤ x ≤ 3, so integrating gives a volume of
[tex]\displaystyle\int_{-3}^3(36-4x^2)\,\mathrm dx=\boxed{144}[/tex]
Find the greatest common factor of 18, 36,18,36,18, comma, 36, comma and 454545.
plzz answer its due by 11.00
5. Write in Polar form the following complex numbers
(a) 4+6j
Answer:
https://www.wolframalpha.com/widgets/view.jsp?id=ecc4c3ee7c6b1f12d078f6541a983c2d
use that it will give you a step by step answer.
What is the range of the data Colin collected?
Answer:
5
Step-by-step explanation:
What is an angle?
A. part of a line that has two endpoints
ОО
B. part of a line that has one endpoint
C. two rays that have the same endpoint
O O
D. two rays that have the same length
Answer:
A .part of a line that has two end points
5 equivalent fractions of 4/8
Answer:
2/4 1/2 5/10 6/12 10/20
Step-by-step explanation:
just pick an even denominator and take half of that number for the numerator. This only works because the most basic form of 4/8 is 1/2. This method only works if your selected fraction is equivalent to 1/2.
Three factories produce light bulbs to supply the market. Factory A produces 40%, 20% of the tools are produced in factory B and 40% in factory C. 5% of the bulbs produced in factory A, 3% of the bulbs produced in factory B and 4% of the bulbs produced in factory C are defective.A bulb is selected at random in the market and found to be defective. What is the probability that this bulb was produced by factory A?
Answer:
0.4762 = 47.62% probability that this bulb was produced by factory A
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Bulb is defective.
Event B: Produced by factory A.
Probability of a bulb being defective.
5% of 40%(factory A)
3% of 20%(factory B)
4% of 40%(factory C). So
[tex]P(A) = 0.05*0.4 + 0.03*0.2 + 0.04*0.4 = 0.042[/tex]
Defective and from factory A:
5% of 40%. So
[tex]P(A \cap B) = 0.05*0.4 = 0.02[/tex]
What is the probability that this bulb was produced by factory A?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.02}{0.042} = 0.4762[/tex]
0.4762 = 47.62% probability that this bulb was produced by factory A
Please help me answer thisss!!
Answer:
The diamonds question is that you have a 25% chance to get one, and the other one is a 7.7% chance to get a two
Step-by-step explanation:
You divide 52 by 13 or 4, and with the result, you divide 100 by the result, and you get a porcentage
List the following from least to greatest: 3, -4, 0, 1, -9
Answer:
Step-by-step explanation:
-9,-4,0,1,3
Answer: From least to greatest. = -9, -4, 0, 1, 3.
What is the volume of a sphere with a radius
of 6?
A 721
14471
2161
IN 288rt
Answer:
the volume is 904.32. that guy I don't know what
A 721
14471
IN 288rt
means
Which expression is equivalent to StartFraction RootIndex 7 StartRoot x squared EndRoot Over RootIndex 5 StartRoot y cubed EndRoot? Assume y not-equals 0.
" StartFraction RootIndex 7 StartRoot x squared EndRoot Over RootIndex 5 StartRoot y cubed EndRoot "is
(X^7/2)(y^-3/5) which is expressed as Option A (x Superscript two-sevenths Baseline) (y Superscript negative three-fifths Baseline)
This is further explained below.
What is an expression?Generally, An expression, often known as a mathematical expression, is a finite collection of symbols that is well-formed according to principles that are dependent on the context in which the expression is being used.
In conclusion, The expression equivalent to StartFraction RootIndex 7 StartRoot x squared EndRoot Over RootIndex 5 StartRoot y cubed EndRoot is
(X^7/2)(y^-3/5) hence (x Superscript two-sevenths Baseline) (y Superscript negative three-fifths Baseline) Option A.
Read more about expression
https://brainly.com/question/14083225
#SPJ1
CQ
Which expression is equivalent to StartFraction RootIndex 7 StartRoot x squared EndRoot Over RootIndex 5 StartRoot y cubed EndRoot?
Assume y not-equals 0. (x Superscript two-sevenths Baseline) (y Superscript negative three-fifths Baseline) (x Superscript two-sevenths Baseline) (y Superscript five-thirds Baseline) (x Superscript two-sevenths Baseline) (y Superscript three-fifths Baseline) (x Superscript seven-halves Baseline) (y Superscript negative five-thirds Baseline).
Answer:
A
Step-by-step explanation:
(1,4) (2,7) (3,10) (4,13) find the equation in slope-intercept form.
Answer:
y = 3x + 1
Step-by-step explanation:
The way you find slope is change in y over change in x, (as a fraction).
So then your equation is y = 3x because the y value goes up 3 times and the x goes up once (3/1), and then you see what value y has when x = 0 to find the b value, which is one.
Determine the value of x
ASAP! Help!
Answer:
Step-by-step explanation:
B
90/20=4.5
The fraction 5/8
produces a repeating decimal.
___
0.625
True or False
Answer:
False i just did it
Step-by-step explanation:
given the formula solve for x.
y - y1 = m(x-x1)
Answer:
[tex]y - y' = m(x - x') \\ (x - x') = \frac{(y - y')}{m} \\ x = \frac{(y - y')}{m} + x'[/tex]