Answer:
The inverse of given function is
[tex]f^{-1} ( x ) = (2x+7)^{\frac{1}{3} }[/tex]
Step-by-step explanation:
Explanation:-
Given function
[tex]f(x) = \frac{x^{3}-7 }{2}[/tex]
let y = f(x)
[tex]y = f(x) = \frac{x^{3}-7 }{2}[/tex]
⇒ 2 y = x³ - 7
⇒ 2y +7 = x³
⇒ [tex]x = ( 2 y +7 )^{\frac{1}{3} }[/tex]
⇒[tex]f^{-1} ( y ) = (2y+7)^{\frac{1}{3} }[/tex]
The inverse of given function is
[tex]f^{-1} ( x ) = (2x+7)^{\frac{1}{3} }[/tex]
OMG PLEASE HELP QUICK 7TH GRADE LEVEL
Answer:
26 Feet
Step-by-step explanation:
6 feet 6 inches x 4
Answer:
That would be about 26 feet.
Step-by-step explanation:
Will mark brainliest
A team spent 20 minutes on passing drills and 40 minutes on shooting drills.
What is the ratio of time spent on shooting drills to time spent on passing drills?
1 to 3
3 to 1
2 to 1
1 to 2
Paul's Pizzeria sells 45 cheese pizzas and 20 pepperoni pizzas each week.
What is the ratio of cheese pizzas to pepperoni pizzas sold each week by Paul's Pizzeria?
4:2
3:1
9:4
9:2
Which simplified ratio correctly compares 12 yards to 20 feet?
3:5
5:3
5:9
9:5
Answer:
1. 1 to 2 2. 9 to 4 3. 5 to 3
Step-by-step explanation:
Its just half which is one to 2, this one is pretty simple, so trust me
you just find the highest number that can go into both ones.
12 yards and 20 feet, one yard in 3 feet
Answer:
the ratio is 20
Over 40
Step-by-step explanation:
it’s logical I got it correct and you just put them together
I = $60, P = $750, r = 4%, t = ?. Find the amount of time.
Answer:
you need to be more specific.
Look at the graph shown below:
Which equation best represents the line?
A: y = 1 over 3 x - 1
B: y = 3x - 1
C: y = -x + 1 over 3
D: y = 3x + 1
You might need:
Calculator
Find the zeros of the function.
Enter the solutions from least to greatest.
g(x) = 4x2 – 484
lesser x =
greater 2 =
Answer:
x = -11, x = 11
Step-by-step explanation:
Zeros are when g(x) = 0:
[tex]0=4x^{2} -484[/tex]
[tex]0=4(x^{2} -121)[/tex]
[tex]0=x^{2} -121[/tex]
Factor:
[tex]0=(x-11)(x+11)[/tex]
[tex]0=x+11, 0=x-11[/tex]
[tex]x=-11, x=11[/tex]
Word Problem (x and y intertcept)
A doll company can make a doll at a cost of P35 per doll. If the selling of the doll is x pesos and the number of dolls sold per month is 500 - x,
a. Express the monthly profit in pesos as a function of x.
b. If the selling price of the doll is P85, determine the monthly profit. Use the result in letter a.
Answer:
a. Monthly profit is
(x-35)(500-x)
b. given x = 85, the profit is 20,750 pesos
Step-by-step explanation:
a. The monthly profit is the selling price - cost price
The cost price for the number of dolls made will be ;
35(500-x)
The value of the amount we are selling all is;
x(500-x)
So the monthly profit would be;
x(500-x)-35(500-x)
= (x-35)(500-x)
b. Given the selling price we 85 , we want to calculate the monthly profit
From
what we have, x will be 85
Substituting in the equation we have for A above, we have that;
(85-35)(500-85)
= 50* 415 = 20,750 pesos
X
3
7
+
Simplify:X-3 X+4 x²+x-12
Rewrite the expression using the LCD:
Ox(x+4)-3(x-3)+7
(x-3)(x+4)
O x(x+4)+3(x – R+7
(x-3)(x+4)
x(x+4)+3(x-3) -7
(x-3)(x+4)
Answer: it’s a
Step-by-step explanation:
Answer: A for the first part and B for the second part
Step-by-step explanation:
Each table shows a proportional relationship between x and y. Match each table with its constant of proportionality.
x y
1 20
2 40
3 60
x y
2 80
8 320
12 480
x y
2 0.4
4 0.8
9 1.8
x y
7.5 4.5
10 6
17.5 10.5
0.6
arrowRight
0.2
arrowRight
20
arrowRight
40
arrowRight
Pls help:( HELP
As table shows a proportional relationship between x and y then constant of proportionality are 20, 40, 0.2 and 20 respectively
In the first table, the constant of proportionality is 20 because each value of y is obtained by multiplying the corresponding value of x by 20.
In the second table, the constant of proportionality is 40 because each value of y is obtained by multiplying the corresponding value of x by 40.
In the third table, the constant of proportionality is 0.2 because each value of y is obtained by multiplying the corresponding value of x by 0.2.
In the fourth table, the constant of proportionality is 20 because each value of y is obtained by multiplying the corresponding value of x by 20.
To learn more on Constant of proportionality click:
https://brainly.com/question/17793140
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7th grade math help me please :)
Answer:
7x + 1 and 2a - 1
Step-by-step explanation:
(a)
2x + 1 + 5x ← collect like terms
= (2x + 5x) + 1
= 7x + 1
(b)
- 3a + 2 + 5a - 3 ← collect like terms
= (- 3a + 5a) + (2 - 3)
= 2a + (- 1)
= 2a - 1
if 15.5 gallons are $24.16, how much is it for one gallon
Answer:
$1.55870968
Step-by-step explanation:
24.16dollars/15.5gallons = 1.55870968dollars/gallon
What does sas stand for
Answer: Statistical Analysis System
Step-by-step explanation:
28 POINTS!!!!!! Solve for x. Please Help
Answer:
The third choice, [tex]x\leq -8[/tex]
Step-by-step explanation:
One way to do it is to substitute in the potential answers. I'll show you here.
Choice 1
[tex]2(-2)+3\leq (-2)-5[/tex]
[tex]-4+3\leq -2-5[/tex]
[tex]-1\leq -7[/tex]
We can see that this is false, so the answer cannot be choice 1.
Choice 2
[tex]2(2)+3\leq (2)-5[/tex]
[tex]4+3\leq 2- 5[/tex]
[tex]7\leq -3[/tex]
This is also false, so the answer cannot be choice 2.
Choice 3
[tex]2(- 8)+ 3\leq (-8)-5[/tex]
[tex]-16+3\leq -8-5[/tex]
[tex]-13\leq -13[/tex]
This is true. Let's see if choice 4 works.
Choice 4
[tex]2(8)+3\leq (8)-5[/tex]
[tex]16+3\leq 8-5[/tex]
[tex]19\leq 3[/tex]
This is not true. Therefore, 3 is correct.
The amount of increase , divided by the original amount, equals the ____of increase
Answer: percent
Step-by-step explanation: i know stuff and btw i hope this helps
Peter made 19 1/8 cups of chili for the football game. If 14 3/4 cups of the chili were eaten how many cups of chili did peter have left over
Answer:
Step-by-step explanation:
Please help! Will give brainiest! HIGH POINTS
Evaluate each of the following using ...
Answer:
F(0)= 0, 0
F(3)= -21, 3
F(2)= -12, 2
Step-by-step explanation:
explanation
You went bowling last weekend with your friends, and you had to pay $42.75 in total to rent your shoes and play multiple games. If the shoes cost you $9.00, and you paid $6.75 per game, how many games did you bowl?
Answer:
5
Step-by-step explanation:
42.75 - 9 = 33.75 (shoes)
33.75/6.75= 5 games
Answer:
Im d u m b
Step-by-step explanation:
Subtract (−x − 2) − (4x + 3).
Answer:
-5x - 5
Step-by-step explanation:
1. Distributive Property
-x - 2 - 4x - 3
2. Combine like terms
-5x - 5
Hope this helped!
Based on the graph shown, which features are correctly stated?
Answer:
A, B, & C.
that's features that correctly stated.
Please help!!! I’ll mark brainliest!! (Look at picture)
Answer:
[tex]\huge\boxed{\sf (x*4) + (x*5) = 54}[/tex]
Step-by-step explanation:
[tex]\sf x(4+5) = 54\\\\Applying \ distributive \ property\\\\(x*4) + (x*5) = 54\\\\Distributive\ Property\ is:\\\\A(B+C) = (A*B)+(A*C)\\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Sarah started collecting coins last year.
She already collected 58, when she received another 21 from her parents.
She is expecting to get 12 more for her birthday next week.
How many coins is she going to have at the end of next week if her expectation is right?
Answer:91 coins
Step-by-step explanation:You add them all together the numbers which are 58 and 21 and 12.It gives you 91 coins in total.
Hope it helps :)
The original price of a video game is $32.99 before tax. When Mario bought the video game it rang up as $26.39 before tax. He then paid 8% sales tax on the discounted price.
Part A: What is the percent discount on the game? Show all work and steps in your solution. (5 points)
Part B: What is the total amount that Mario paid for the video game including tax? Show all work and steps in your solution.
Answer:
Part A: The percent discount on game is 20%.
Part B: Mario paid a total of $28.50 including sales tax.
Step-by-step explanation:
Given that:
Part A:
Original price of video game = $32.99
Discounted price = $26.39
Amount of discount = 32.99 - 26.39 = $6.60
Discount percent = [tex]\frac{Amount\ of\ discount}{Original\ price}*100[/tex]
Discount percent = [tex]\frac{6.60}{32.99}*100 = 0.20*100[/tex]
Discount percent = 20%
Part B:
Sales tax = 8% of discounted price
Amount of sales tax = [tex]\frac{8}{100}*26.39 = 0.08*26.39[/tex]
Amount of sales tax = $2.11
Total amount = $26.39 + $ 2.11 = $28.50
Hence,
Part A: The percent discount on game is 20%.
Part B: Mario paid a total of $28.50 including sales tax.
Answer the following Question with Appropriate Explanation
Answer:
option is B)
Step-by-step explanation:
2x is a perfect square. but x is not a perfect square, this brings us to the conclusion tht prob x is 2.
2x = 4
hence correct option is B) 4x is a perfect square, as 4x4=16, which is a perfect square...
Find cos 0 for 0 = 30°
The 0 has a weird line through it
Answer: [tex]\frac{\sqrt{3}}{2}[/tex]
======================================================
Explanation:
The symbol [tex]\theta[/tex] is the greek letter theta. It's often used in trigonometry for angles.
In this case, [tex]\theta = 30^{\circ}[/tex]
So,
[tex]\cos(\theta) = \cos(30^{\circ}) = \frac{\sqrt{3}}{2}[/tex]
You'll need to use a reference sheet or the unit circle to determine the value of cos(30). Or you could use a 30-60-90 triangle template.
When using the unit circle, look in the upper right quadrant (which is quadrant 1). The angle 30 degrees is in this quadrant. Locate the terminal point and note how [tex]\frac{\sqrt{3}}{2}[/tex] is the x coordinate of the terminal point. This is due to [tex]x = \cos(\theta)[/tex]
Side note: [tex]\frac{\sqrt{3}}{2} \approx 0.866025[/tex]
Use the word virtue in a complete and strong sentence about someone you know.
Answer:
Step-by-step explanation:
My friend is a virtue because he is very upright. The patience that he has is very virtuous, and during school, he shows high moral standards and you can see it by the grades he gets.
Hope this helped a little!
sinA.secA
__________ = tan²A
cosecA.cosA
Answer:
Please check explanations for answer
Step-by-step explanation:
Here, we want to show that the left hand side equals the right hand side
We can express the left hand side as:
sin A/ cos A * sec A/cosec A
kindly recall that;
sin A/cos A = tan A
Also;
sec A = 1/ cos A
cosec A = 1/ sin A
Thus, we have that ;
tan A * 1/cos A / 1 / sin A
= tan A * sin A/cos A
This is;
tan A * tan A = tan^2 A
Find the equation of the straight line that is parallel to 2y - x = 7 and bisects the line joining the points (3,1) and (1,-5).
Answer:
yes that is completely correct
What is the equation of the circle shown below?
Step-by-step explanation:
Equation of circle: (x + 2)² + (y - 2)² = r²
Radius of the circle is 3 (from -2 to 1).
Hence we have
(x + 2)² + (y - 2)² = 3² or (x + 2)² + (y - 2)² = 9.
Solve the system of linear equations by elimination.
3x−30=y
7y−6=3x
please explain
Answer: y = 6; x = 12
Step-by-step explanation:
3x - 30 = y
Change this into an equation where x and y are in the same side.
3x - 30 = y
Subtract y from both sides
3x - y - 30 = 0
Add 30 to both sides
3x - y = 30
7y - 6 = 3x
Do the same thing I did to the first equation
7y - 6 = 3x
Subtract 3x from both sides
-3x + 7y - 6 = 0
Add 6 to both sides
-3x + 7y = 6
We can now use the system of elimination to find x and y.
3x - y = 30
-3x + 7y = 6
After adding both equations, you get:
6y = 36
Divide 6 from both sides
y = 6
Since we now know y, we can solve for x.
3x - 30 = y
Substitute y for 6
3x - 30 = 6
Add 30 to both sides
3x = 36
Divide both sides by 3
x = 12
Hope this helped!
Answer:
[tex]x = 12.y = 6[/tex]
Step-by-step explanation:
Restructuring
[3x - 30 = y
-3x - 6 =7y
[tex] \frac{ - 36}{ - 6} = \frac{ - 6y}{6} [/tex]
y=6
Sub 6 in equ II
7(6)-6=3x
[tex] \frac{36}{3} = \frac{3x}{3} [/tex]
x=12
3)Hubba Bubba Bubble gum
was $0.25 thirty years ago.
Today it costs $1.39. What is
the percent increase? Round
to the nearest hundredth (if
necessary).
V
Answer:
456% increase
Step-by-step explanation:
Step one:
given data
Hubba Bubba Bubble gum was $0.25 30 years ago
Today it costs $1.39.
Required
The percentage increase
Step two:
Percentage increase= change in price/ old price *100
Percentage increase= 1.39-0.25/0.25 *100
Percentage increase=1.14/0.25 *100
Percentage increase=4.56*100
Percentage increase=456%
Some helpp pleaseeeee
Step-by-step explanation:
( 1.5 * 10^0 ) * ( 2.0 * 10 ^ - 5)
= 1.5 * 1 * 2.0 * 10 ^ - 5
= 3 * 10^-5
Hope it will help :)