Answer:
ok it is best answer very very very best
Find the inverse of the function f(x) = 2x^3 - 5
This is what I have so far
F(x) = 2x^3 - 5
Y = 2x^3 - 5
X = 2y^3 - 5
+5 +5
x + 5 = 2y^3
9514 1404 393
Answer:
f^-1(x) = ∛((x +5)/2)
Step-by-step explanation:
Continue to solve for y.
[tex]x +5=2y^3\qquad\text{so far so good}\\\\\dfrac{x+5}{2}=y^3\qquad\text{divide by 2}\\\\\sqrt[3]{\dfrac{x+5}{2}}=y\qquad\text{take the cube root}\\\\\boxed{f^{-1}(x)=\sqrt[3]{\dfrac{x+5}{2}}}\qquad\text{expressed in functional form}[/tex]
If you want to "rationalize the denominator", you can multiply both numerator and denominator by 4 inside the radical. This will simplify to ...
[tex]\displaystyle\boxed{f^{-1}(x)=\frac{1}{2}\sqrt[3]{4x+20}}[/tex]
[tex]\\ \rm\Rrightarrow y=2x^3-5[/tex]
Interchange y and x[tex]\\ \rm\Rrightarrow x=2y^3-5[/tex]
[tex]\\ \rm\Rrightarrow 2y^3=x+5[/tex]
Isolate y[tex]\\ \rm\Rrightarrow y^3=\dfrac{x+5}{2}[/tex]
[tex]\\ \rm\Rrightarrow y=\sqrt[3]{\dfrac{x+5}{2}}[/tex]
This is the inverse[tex]\\ \rm\Rrightarrow f^{-1}(x)=\sqrt[3]{\dfrac{x+5}{2}}[/tex]
Joe bought a box of laundry detergent that contains 195 scoops each load of laundry uses 2 1/2 scoops the box of detergent was $24.96 how much is he paying for each load that was wash
Answer:
a) Number of laundry he can do with this box = 78 laundries.
b) Price he paying for each load = 0.256 $
Step-by-step explanation:
Total scoop contained in detergent box = 195 scoops.
Scoops used by each load of laundry = 2 1/2 = 2 * 2 + 1/2 = 5/2 scoops = 2.5 scoops
Number of laundry he can do with this box = 195/2.5 = 78 laundries.
Price of detergent box = 19.99 $
Price he paying for each load = Total price/ Number of loads
= 19.99/78
= 0.256 $
What is the value of n in the equation?
7n + 2 = 5 × 6
A.25
B.4
C.6
D.28
Answer:
B. 4
Step-by-step explanation:
7n+2 = 5×6
7n+2 = 30
7n = 30-2
7n = 28
7n ÷ 7 = 28 ÷ 7
n = 4
Write an equation for this linear
function.
f(3) = 7 and f(7) = 3
f(x)=-x+10
well looking at the difference on the x and y coordinates, it is a difference of 4 and-4, making the slope -1. because it is next to x on the function notation you can just say -x, then insert the y and x coordinates to solve for y intercept
Clifton spent $14.30 to buy his class 26 ice
cream sandwiches. How much did each ice
cream sandwich cost?
Answer:
$0.55
Step-by-step explanation:
All you have to do is divide $14.30 by 26 and that equals 0.55 so he spent 55 cents on each sandwich
–5(–2) = eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
10
Step-by-step explanation:
-5 times -2= 10
Which expression is equivalent to -16 - 9?
Answer:
Option C is the answer.
Step-by-step explanation:
Let's first simplify the given problem.
-16 - 9
=> -25.
Now, let's see if Option C equals -25.
-16 + (-9)
=> -16 - 9
=> -25.
Therefore, Option C is correct.
[tex]Hiya![/tex]
Sokka is here to help!!
Here's a explanation!
[tex]-16-9[/tex]
Subtract:[tex]-16-9=-25[/tex]
ANSWER:[tex]=-25[/tex]The answer choice is C.Hopefully, this helps you!!
[tex]Sokka[/tex]
Evaluate (3x-2)/6 when x = 5
Answer:
13/6
Step-by-step explanation:
Substitue in 5 for x in 3x.
3x(5)= 15
15-2=13
13/6 or 2.16
95-a(b+c) when a=9, b=3, c =7.4
Answer:
95-9 (3+7)
95-9 (10)
86 (10)
= 8600
Step-by-step explanation:
I hope this was helpful!
God bless you!
pls i need help asap Solve the equation shown for x. 4(–x + 4) = 12 Enter your answer in the box. x =
Answer: 15
Step-by-step explanation:
casue
Answer:
x = 1
Lemme know if you need the steps.
Please mark brainliest if possible :)
In an experiment, a fair four-sided die (its faces are labeled 0, 1, 2, 3) is thrown once. The outcome of the throw determines how many times a fair coin is to be flipped: if N is the number that results from throwing the die, we flip the coin N times. Let K be the total number of heads resulting from the coin flips.
Answer:
Step-by-step explanation:
If
a
=
−
1
,
what is the value of the expression
3
−
a
(
8
−
2
a
)
?
−
7
− − 7
−
2
- 2
10
10
13
Evaluating an algebraic expression is the process of determining the value of an expression when a specified integer is used to replace a variable.
Explain about the expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: Expression: (Math Operator, Number/Variable, Math Operator)
An expression in mathematics is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) You can think of expressions as being comparable to phrases. A phrase in language may contain an action on its own, but it does not constitute a whole sentence.
In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, etc.). Terms comprise expressions.
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Prius bought these items at the grocery store. Find each unit price.
A. 12 eggs for $3 how much is the cost per egg ?
Answer:
your answer would be 0.25 cents per egg
Step-by-step explanation:
当 1. Resuelas las seguintes multiplicación y divisiones (-5,55 ÷ 0,25)x (2,85)
Answer:
uno=dose
Step-by-step explanation:
If p and q vary inversely and p is 4 when q is 12, determine q when p is equal to 8.
Answer:
24
Step-by-step explanation:
[tex]p = 8 \\ q = x \\ \\ q(8) = p(x) \\ \\ 12(8) = 4(x) \\ 96 = 4x \\ \frac{96}{4} = \frac{4x}{4 } \\ x = \frac{96}{4} \\ x = 24[/tex]
someone please just help me i cant fail this please
PLEASE HELP ME!
The eighth-grade class at a grade school has 14 girls and 9 boys. How many different boy-girl dates can be arranged?
Answer:
126
Step-by-step explanation:
14 times 9
Roger completed a probability experiment with a coin. He flipped the coin 32 times, and it landed on tails eight times. He looked at the results of his experiment to determine the ratio of heads outcomes to tails outcomes.
The ratio of heads to tails in simplified form is
Answer:234
Step-by-step explanation:
rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr
Adam ran 3 miles in 30 minutes. If he continues at a
constant rate, how many miles can he run in 2
hours?
In which function does an increase of 1 in quantity x correspond to an increase of 8 in
quantity y?
Answer:
C. y = 8x
Step-by-step explanation:
When x = 1
y = 8(1) = 8
when x = 2
y = 8(2) = 16
x increased by 1
y increased by 8
Amir got 35% and fail by 20 marks and naveed got 45% marks and sucured 20 more marks than passing marks .what is the % of pass the exmanination?
Answer:
40%
Step-by-step explanation:
middle of 35 and 45
35 40 45
fail by 20 pass extra 20
and the total marks are
400
that means
every 1% is equivalent to 4 marks
Select all possible solutions for 2x +7
[tex] 2x + 7\leqslant 3 \times - 5[/tex]
Answer:
Select all options of x greater than or equal to 12
Step-by-step explanation:
2x + 7 <= 3x - 5
7 + 5 <= 3x - 2x
12 <= x
x >= 12
What is the name for two angles whose measures have the same sum as angle J and angle L?
Step-by-step explanation:
it is Supplementary Angles
The cost, C, in dollars to produce 3 pounds of chocolate candy
is represented by the linear function C (x) = 3.5x+ 800.
Find the number of pounds produced if the cost is $842.00.
Round to the nearest tenth of a pound.
469.1
h
O 3,747.0
38.5
12.0
o 1.2
Answer:
(c) 12 pounds
Step-by-step explanation:
The cost of production is given as ...
3.5x +800 = 842
3.5x = 42 . . . . . . . . subtract 800
x = 12 . . . . . . . . . . . divide by 3.5
The number of pounds produced is 12.
A couple deposits $21,000 $ 21,000 into an account earning 5% 5 % annual interest for 30 30 years. Calculate the future value of the investment if the interest is compounded daily. Round your answer to the nearest cent.
Answer:
$94105.81
Step-by-step explanation:
[tex]21000( ({1 + .0512675})^{30} - 1) \\ = 73105.81 \\ 73105.81 + 21000 = 94105.81[/tex]
Future value of the investment if the interest is compounded daily is $94,105.80.
What is Compound Interest?Compound interest is defined as the amount of interest which has been calculated on the principal amount as well as the amount accumulated over the previous period is also included.
Given that,
Principal amount, P = $21,000
Rate of interest, r = 5% = 5/100 = 0.05
Time, t = 30 years
The final amount in a compound interest is,
A = P (1 + r/n)^(nt), where n is the number of times compounding is done in a year.
Here, n = 365
A = 21000 (1 + 0.05/365)^(365 × 30)
= 94,105.802
≈ 94,105.80
Hence the final amount is $94,105.80.
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Can someone please explain how to do this.
Answer: 9/30
Step-by-step explanation:
Frank’s mother gave him 25 to save. If he already had 38 saved, how much money does frank have save now
Answer:
Frank now has $63 saved.
Step-by-step explanation:
25 + 38 = 63
I hope this answered your question properly!
(d^8)^-2. Anyone help pls?
Answer:
1/d^16
Step-by-step explanation:
Hope this helped!
Can I get brainlist? If not that's okay!
Please help me on part b
Answer:
0.859493
0.859
Hope This Helps!!!
NOV 18, 8:23:07 AM
In a newspaper, it was reported that the number of yearly robberies in Springfield in
2011 was 75, and then went down by 4% in 2012. How many robberies were there in
Springfield in 2012?
72 is answer
as it got down by 4% every year
in 2011 it was 75 means in the next year it will be 75-(75*4/100) that is equal to 72
The robbery rate in year 2012 was 72.
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100.
Given that in a city that robbery rate was 75 in 2011 was 75, and then went down by 4% in 2012.
We need to find the robbery rate of the city in 2012.
So, here went down means it decreased by 4%,
That mean, now the robbery rate will be (100-4) = 96% of 75.
Therefore, the robbery rate in year 2012 was =
0.96 x 75 = 72
Hence the robbery rate in year 2012 was 72.
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Kevin has Oranges and grapefruits in a ratio of 40:18. How many oranges does he have if he has 9 grapefruits?
Answer:
20 oranges
Step-by-step explanation:
40:18 / 2 = 20:9
