Answer:
4
Step-by-step explanation:
you change hour to second and then you divide
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]
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
–5(–2) = eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
10
Step-by-step explanation:
-5 times -2= 10
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
Adam ran 3 miles in 30 minutes. If he continues at a
constant rate, how many miles can he run in 2
hours?
(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!
someone please just help me i cant fail this please
Maria is 62 inches tall. If her sister Eva was 1.5 inches taller, she would be exactly half Maria's height. How tall is Eva? Enter your answer as a decimal in the box.
Answer:
Step-by-step explanation:
Let Eva's height be x
62* 0.5 = x + 1.5
31 = x + 1.5 Subtract 1.5 from both sides.
31 - 1.5 = x
x = 29.5
Eva is 29.5 inches tall.
Answer:
29.5
Step-by-step explanation: I took the test
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
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
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
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!
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
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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Emerson is making costumes for the
school play. She needs 3 1/2 square
yards of fabric to make each costume.
If she uses a total of 46 2/3 square
yards of fabric, how many costumes
does she make?
9514 1404 393
Answer:
13 costumes
Step-by-step explanation:
The amount of fabric used is the product of the amount per costume and the number of costumes.
A = na . . . . . A = total area; n = number of costumes; 'a' = area per costume
46 2/3 = n(3 1/2)
n = (46 2/3)/(3 1/2) = (140/3)/(7/2) = (140/3)(2/7) = 40/3 = 13 1/3
Apparently there is some waste, as Emerson used more fabric than necessary to make 13 costumes.
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
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]
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.
6
What value of x makes the equation -5x - (-7.4x) = -2(3x + 4) true?
F
X = 3
G
* = 5
H
J
x
Step-by-step explanation:
-5x - (-7.4x) = -2(3x + 4)
-5x + 28x = -6x - 8
(-5 + 28 + 6)x = -8
29x = -8
x = -8/29
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
Find y'([tex]\sqrt[3]{3}[/tex]) where y = y(x) is an implicit function of x given by 2[tex]x^{3}[/tex]+[tex](x^{3}-3)[/tex]·sin(2πy)−3y = 0.
Given
2x³ + (x³ - 3) sin(2πy) - 3y = 0
we first notice that when x = ³√3, we get
2 (³√3)³ + ((³√3)³ - 3) sin(2πy) - 3y = 0
2•3 + (3 - 3) sin(2πy) - 3y = 0
6 - 3y = 0
3y = 6
y = 2
Differentiating both sides with respect to x gives
6x² + 3x³ sin(2πy) + 2π (x³ - 3) cos(2πy) y' - 3y' = 0
Then when x = ³√3, we find
6(³√3)² + 3(³√3)³ sin(2π•2) + 2π ((³√3)³ - 3) cos(2π•2) y' - 3y' = 0
6•³√9 + 3•3 sin(4π) + 2π (3- 3) cos(4π) y' - 3y' = 0
6•³√9 + 0 + 0 - 3y' = 0
3y' = 6•³√9
y' = 2•³√9
(that is, 2 times the cube root of 9)
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!
what is x and y in the equation 9x + 20y > 120
Answer:
x= 120-20y/9
Step-by-step explantion:
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:
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 $
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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Can someone please explain how to do this.
Answer: 9/30
Step-by-step explanation:
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
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]
List the first 10 triangular numbers
