Let y = f(x)
Let cr = cube root for short
y = cr{3x} + 2
Switch x and y.
x = cr{3y} + 2
Solve for y.
x - 2 = cr{3y}
Raise both sides to the 3rd power.
(x - 2)^3 = [cr{3y}]^3
(x - 2)^3 = 3y
[(x - 2)^3]/3 = y
Replace y with the inverse function notation
f^(-1) x.
f^(-1) x = [(x - 2)^3]/3
Choice b is the answer.
Find the length of side x in simplest radical form with a rational denominator.
Answer:
x = 2√3
Step-by-step explanation:
x² = √6² + √6²
x² = 6 + 6 = 12
x = √12 = 2√3
If an arithmetic progression satisfies U4=7 , U8=15 .Find U10
Answer:
U10 = 19
Step-by-step explanation:
The sequence is [tex]Ux=(x*2)-1[/tex]
x is the coefficient to U.
So, [tex]U10=(10*2)-1[/tex]
Which means [tex]U10=20-1[/tex]
Which means [tex]U10=19[/tex]
And there is your answer.
Hope this helps. Have a nice day.
State if the triangles in each pair of similar. If so, state how you know they are similar and complete the similarity statement.
triangle UTS~ ____
a. similar, AA, UED
b. similar, SSS, UDE
c. similar, SAS, UDE
d. not similar
Answer:
triangle UTS~∆UED by AAA axiom
PLEASE HELP!
Find the area of each figure.
18 square units
9 square units
12 square units
24 square units
MATCH THE NUMBERS TO THE GRAPHS!!!!!
I do know the first figure is 24 square feet.
To get your answer,
Count the amount of the blocks stacked on top each other to make the length, in this case the first photo would be 3, and the width of the block, which is 8. To get the area, you would multiply the length and width together.
Image Form:
l x w = a
(length x width = area)
I hope this is a clear explanation!
Answer:
first one is 24
second one is 12
third one is 9
fourth one is 18
Step-by-step explanation:
A foreign-car dealer with warehouses in New York and Baltimore receives orders from dealers in Philadelphia and Trenton. The dealer would to minimize the shipping cost. The dealer in Philadelphia needs 3 cars and the dealer in Trenton needs 8. The New York warehouse has 5 cars and the Baltimore warehouse has 9. The cost of shipping cars from Baltimore to Philadelphia is $120 per car, from Baltimore to Trenton $90 per car, from New York to Philadelphia $100 per car, and from New York to Trenton $70 per car. Let x be the number of cars shipped from Baltimore to Trenton, and y be the number of cars shipped from Baltimore to Philadelphia. 5. Write the six inequalities associated with this problem.
Answer:
[tex]x \ge 0[/tex]
[tex]y \ge 0[/tex]
[tex]x + y \le 9[/tex]
[tex]8 - x \ge 0[/tex]
[tex]3 - y \ge 0[/tex]
[tex](8 - x) + (3 - y) \le 6[/tex]
Step-by-step explanation:
Given
x = Cars from Baltimore to Trenton
y = Cars from Baltimore to Philadelphia
Required
Write out 6 inequalities
First, 0 or more cars must be shipped to both locations
So:
[tex]x \ge 0[/tex]
[tex]y \ge 0[/tex]
Considering the warehouse in Baltimore.
(1) The warehouse can not ship more than the number of car it has (9).
So:
[tex]x + y \le 9[/tex]
Considering the warehouse in New York.
(1) After shipping cars to Trenton and Philadelphia, the warehouse will have 0 or more cars.
So:
[tex]8 - x \ge 0[/tex] --- To Trenton
[tex]3 - y \ge 0[/tex] --- To Philadelphia
(2) The warehouse cannot send out more than 6.
So:
[tex](8 - x) + (3 - y) \le 6[/tex]
So, the inequalities are:
[tex]x \ge 0[/tex]
[tex]y \ge 0[/tex]
[tex]x + y \le 9[/tex]
[tex]8 - x \ge 0[/tex]
[tex]3 - y \ge 0[/tex]
[tex](8 - x) + (3 - y) \le 6[/tex]
Select all expressions that are equivalent to 2+y+y+y+y+y+3?
Explain the difference between a percent and a unit rate.
Answer:
A rate is a special ratio in which the two terms are in different units. For example, if a 12-ounce can of corn costs 69¢, the rate is 69¢ for 12 ounces. ... When rates are expressed as a quantity of 1, such as 2 feet per second or 5 miles per hour, they are called unit rates.
Step-by-step explanation:
all that make this true i need help
Answer:
D and E
Step-by-step explanation:
3(23+18)=123
6(18)=108. 6(19)=114. 6(20)=120. 6(22)=132. 6(24)=144
Explain how to solve 4X5X3. Use math terms in your answer.
Answer:
4 x 5 x 3 = 60
Step-by-step explanation:
4 x 5 = 20 , 20 x 3 = 60
I need to bring my math grade up !!! Does anyone know that answer
Answer:
2/5 of hangar a = hangar b
Step-by-step explanation:
Help answer this!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
D move 6 units to the left and land on -9
Step-by-step explanation:
The dolphin dove down meaning that it went 6 feet below sea level. that would mean -6. If you move 6 spaces to the left, you would land on -9. Hope this helps
Answer:
D. on the number line, move 6 units to the left. End at -9, the Dolphin was 9 feet below sea level
you have an ant farm with 34 ants. the population of your ants will double every 3 months. the table shows the population growth of the ants over 9 months. decide whether the table represents a linear function or a nonlinear function. after one year how many ants will there be on the farm?
The hanger image below represents a balanced equation. Find the value of n that makes the equation true.
Answer:
6
Step-by-step explanation:
16=n +10
subtract 10 from both sides and your left with 6=n
The area of a wall to be tiled in 1.5 metres by 2.5 metres.
Tiles are 50cm by 50cm
The tiles are £0.99 each.
How much will the tiles cost in pounds
Answer:
£14.85
Step-by-step explanation:
The total number of tiles needed
= 5 × 3
= 15
∴ The total cost of the tiles
= £0.99 × 15
= £14.85
please help this is due today
Answer:
A and D
Step-by-step explanation:
A) x = 3
B) x = 0
C) x = ⅓
D = x = 3
Answer:
A and D
Step-by-step explanation:
Triangle ABC has vertices A (6, 1), B (1,7), and C (-3, -2). The translation to create triangle A'B'C' is (x, y) + (x-1, y +2).
Which of the following will be the coordinates of the vertices of triangle A'B'C?
A (5,2), (0, -4), (0,9)
B (5,3), (0, -4), (0,8)
C (5,3), (0,9), (-4,0)
D (5,2), (1, -3), (0,9)
Answer:
I think C is the answer
Can someone please answer this!!
I need halp with one is it?
Answer: 66ft
Step-by-step explanation:
9 x 5 = 45 + 7 x 3 = 21
45+21=66
Answer:
I am pretty sure it is 66 ft
Step-by-step explanation:
If u just do the top 2x3= 6 and then u multiply 5x12=60 then you add 6 and 60 which is 66
Use the equation below to find y, if m=6, x=4, and b= 15. y=mx-b
Answer:
9
Step-by-step explanation:
Y = MX-B,
therefore Y = (6*4) - 15,
so Y = 24 - 15
Y = 9
ANSWER BOTH QUESTIONS
Answer:
a and c
Step-by-step explanation:
What is 985 + 700 + 75 + 10 + 200 - 110?
Answer: 1460
Step-by-step explanation: I put it in a calculator.
A number is added to 12, and the result divided by 2. the answer is the same as you get by subtracting the number from 4. what is the number?
Answer:
1 1/3
Step-by-step explanation:
(x+12)/2 = 4-x
Step 1, multiply both sides by 2 to remove that pesky fraction. x+12 = 8–2x
Step 2, add 2x to both sides to remove x from the right hand side. 3x+12 = 8
Step 3, minus 12 from both sides, removing it from the left hand side. 3x = -4
Step 4, divide by 3. x = 1 1/3
Answer:
the number is 20
Step-by-step explanation:
Equation: let x be the missing number
x + 12 ÷ 2 = x - 4
first step: multiply 2 on both sides to get rid of the division
x + 12 ÷ 2 × 2 = x - 4 × 2
x + 12 = 2x - 8
second step: add 8 on both sides:
x + 12 + 8 = 2x - 8 + 8
x + 20 = 2x
third step: subtract x on both sides:
x - x + 20 = 2x - x
20 = x
to check: substitute 20 for x
x + 12 ÷ 2 = x - 4
20 + 12 ÷ 2 = 20 - 4
32 ÷ 2 = 16
16 = 16
a sector has a radius of 4 and a central angle of 40 degrees. Find the arc length and area of sector
Answer:
Step-by-step explanation:
θ = 2π/9 radians
arc length = rθ = 8π/9 units
area of sector = πr²/9 = 16π/9 square units
Find the value of x in the picture below.
Answer:
I think that the answer is 2.5 , the second item .
What number is 40% of 720
Answer:
288
Step-by-step explanation:
Hope it helps :>
Answer:
288
Step-by-step explanation:
GEOMETRY!!! Will give brainliest
Answer:
circle
Step-by-step explanation:
If the radius of a circle is 9 cm, how long is the diameter
Answer:
18 cm
Step-by-step explanation:
what is 31/5= to pls show example
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{What is }\mathsf{\dfrac{31}{5}}\large\text{ ?}[/tex]
[tex]\large\text{In order for you to solve for this equation you have to DIVIDE}\\\large\text{the NUMERATOR (the TOP number) from the DENOMINATOR}\\\large\text{(the BOTTOM number)}[/tex]
[tex]\mathsf{\dfrac{31}{5}=31\div5\rightarrow \bf 6\ with\ a\ remainder\ of\ 1. \ (6\ r\ 1)}[/tex]
[tex]\large\text{Thus, }\mathsf{\dfrac{31}{5}}\large\text{ is equivalent or equal to }\mathsf{6\dfrac{1}{5}}[/tex]
[tex]\boxed{\boxed{\mathsf{Answer: \bf 6\dfrac{1}{5}}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Andre and Noah started tracking their savings at the same time. Andre started with $15 and deposits $5 per week. Noah started with $2.50 and deposits $7.50 per week. The graph of Noah's savings is given and his equation is y=7.5x+2.5, where x represents the number of weeks and y represents his savings.
1. Write the equation for Andre's savings.
2. Graph it alongside Noah's.
3. What does the intersection point mean in this situation?
Answer:
1. he started with 15 and 5 per week. w is week
a is andre
a = 15 + 5w
Step-by-step explanation:
Answer: 1. Y= 5x + 15
2. Start at 15 and go up 5
3.when they both had the same amount of money at the same time
Step-by-step explanation:
Um.. would anyone like to help? !
Answer:
12
Step-by-step explanation:
The function is just saying that 1/3 of a number is 4
Of the list given the only number when you take 1/3 of it equals 4 is 12
There is only one solution
12