Answer:
[tex]f^{-1}[/tex] (x) = [tex]\frac{x-5}{3}[/tex]
Step-by-step explanation:
let y = f(x) then rearrange making x the subject , that is
y = 3x + 5 ( subtract 5 from both sides )
y - 5 = 3x ( divide both sides by 3 )
[tex]\frac{y-5}{3}[/tex] = x
Change y back into terms of x with x = [tex]f^{-1}[/tex] (x) , then
[tex]f^{-1}[/tex] (x) = [tex]\frac{x-5}{3}[/tex]
Wendy is helping her mom put candy in 217 giftbagd. Each bag has 7 pieces of candy. She already put 58 pieces of candy in the bags. How many more pieces of candy need to go in the giftbagd
Answer:
406 pieces. If you multiply 58 times 7 you get 406. 406 divided by 58 is 7.
ANYONE KNOW THISSS NEED HELP ASAPPP CANT FAIL THIS!!!
PLEASE HELP I NEED THE POINTS FOR THIS QUESTION, ILL GIVE BRAINLIEST
To qualify as a contestant in a race a runner Has to be the fastest 16% of all applicants. The running times are normally distributed, with a mean of 63 minutes and a standard deviation of 5 minutes. to the nearest minute, what is the qualifying time for the race?
Answer:
it is within 5 minutes ahead or behind 5 minutes of 64 minutes
let me know if it´s wrong
How many dollars, per candle, did the candle maker raise her price?
What is the value of x?
In a right triangle, the hypotenuse is √2 x the legs. In this case, the value of x is [tex]\frac{18}{\sqrt{2} } =\frac{18\sqrt{2} }{2} =9\sqrt{2}[/tex].
PLEASES HELP
I need help on this question the screenshot are down below
Answer:
D would be the answer
Step-by-step explanation:
What are the solutions of ? = 8-52?
o s-ľ57 S + √57
O-5-57
5+57
Answer:
99,000
Step-by-step explanation:
Find the volume of the figure.
Answer:
90 m³Step-by-step explanation:
Volume of the prism is the product of the base area and the height
Base area is:
A = 1/2*10*3.6 = 18 m²Volume is:
V = 18*5 = 90 m³Answer:
Required Answer :-The base is representing a trapezium.
So,
Area = ½ × 10 × 3.6
Area = 5 × 3.6
Area = 18 m²
Now,
Volume = 5 × Area
Volume = 5 × 18
Volume = 90 m²
[tex] \\ [/tex]
A truck requires 35 liters of petrol to travel a distance of
450km.Find
The amount that the truck owner has to pay to travel distance of
1050 km if a liter of petrol costs $2.95.
Answer:
$240.92
Step-by-step explanation:
From the question,
The distance traveled by the truck is directly proportional to the amount of petrol used.
I.e,
d ∝ v............... Equation 1
d = kv
d/v = k
d₁/v₁ = d₂/v₂............. Equation 2
Where d₁ and d₂ are initial and final distance respectively, v₁ and v₂ are initial and final amount of petrol used respectively.
Given: d₁ = 450 km, d₂ = 1050 km, v₁ = 35 liters
Substitute into equation 2 and solve for v₂
450/35 = 1050/v₂
v₂ = (1050×35)/450
v₂ = 36750/450
v₂ = 81.67 Liters.
If a liter of petrol cost $2.95,
Then,
81.67 liters will cost (81.67×$2.95) = $240.92
HELP ASAP
Triangle WXY is isosceles. ∠YWX and ∠YXW are the base angles. YZ bisects ∠WYX. m∠XYZ = (15x)°. m∠YXZ = (2x + 5)°. What is the measure of ∠WYX? 5° 15° 75° 150°
That sounds horrible
I’ll give BRAINLIEST
Answer:
E. 18 on each van and 40 on each bus
Step-by-step explanation:
3(18) + 5(40) = 254 and 10(18) + 10(40) = 580
An electrician needs to know that the relationship between amps, volts, and resistance is
expressed in the formula V = IR where V is volts, I is amps, and R is ohms. How large a
resistance is needed to produce 8 amps from 184 volts?
Answer:
R = 23 ohms
Step-by-step explanation:
Start with V = I*R. Solve for R: R = V/I
Here I = 8 amps and V = 184 volts, and so
R = (184 volts) / (8 amps) = 23 ohms
PLZ HELP QUIK PLZ HELP PLZ
Answer:
(x,y) = (-2,7)
Step-by-step explanation:
7x+2y=0
9x+4y=10
y = -9x/4 + 5/2
7x+2 (-9x/4 + 5/2) = 0
5x/2 = -5
5x = -10
x = -2
use x and substitute to get y
y = -(9/4) (-2) +5/2 = 7
Help ASAP I really need an answer I don't need links please and if you don't know that answer just don't answer
Answer:
113
Step-by-step explanation:
note: to find the circumference of a circle using the radius, you use this equation -- 2[tex]\pi[/tex]r. since the radius is 18, you make the equation 2[tex]\pi[/tex]18. that gets you 36[tex]\pi[/tex], which, if put into the calculator, is about 113.
1. A new book bag costs $45. If it is on sale for 25% off and a tax of 7%, how much would it
cost?
Answer:
I believe it would be $31.39
Step-by-step explanation:
Original Price - $45
Price With Sale And Tax $31.39
Hope that helps!
Angle A and Angle B are supplementary angles. If angles A = 65, find the m Angle B.
Answer:
B = 115
Step-by-step explanation:
Since A and B are supplementary, they add up to 180 degrees.
Thus, 65 + B = 180, and B = 115
daniel eats 2/10 of yogurt for breakfast each morning how much yogurt does daniel eats for 3 days
Answer:
6/10
Step-by-step explanation:
2/10 times 3/1=6/10
hope this helps:) plz mark me brainliest
Answer:
3/5
Step-by-step explanation:
alrighty, so this is a standard rate and multiplication problem. How do we know? Well, because there's a steady rate of 2/10 per day, and for 3 days so:
2/10 x 3 = 6/10
6/10 can be simplified:
6/10 ÷ 2 = 3/5
So Daniel eats 3/5 yogurt over the course of 3 days
hope this helps:)
help please ........
Answer: C
In vertex form a(x - h)2 + k, values of a indicate the horizontal stretch/compression. From there just knowing that values less than 1 stretch the graph, while values greater than 1 compress it. Graphing it out on your own by simply inputting values into x will make this pretty clear.
Hope this helps!
whts 5/8 - 2/4
plz help will mark brainliest
and i will give 30 points
Answer:
5/8 - 2/4 = 1/8
(Hope this helps! Btw, I answered first. Brainliest please! :D)
Does anyone know how to do this
a1=9
a_n= a_n-1 -4
Tell whether each event is impossible, unlikely, as likely as not, likely, or certain. Rolling a number cube and getting a number that is less than 7.
Answer:
Certain
Step-by-step explanation:
The answer is certain because all the numbers on a cube are less than 7. So it's impossible to get a number more than 7, or equal to 7.
ella deposits $8000 into an account that pays simple interest at a rate of 3% per year. How much interest will she be paid in the first 4 years?
Determine whether 5n2 or 3n will have the greater value when:
a. n = 1
Answer:
5n2 will have a greater value
Step-by-step explanation:
5n2
5x1x2=10
3n
3x 1= 3
The Snyder family uses up a 1 2 -gallon jug of milk every 3 days. At what rate do they drink milk?
Answer: 4 gallons per day
Step-by-step explanation:
From the question, we are informed that the Snyder family uses up a 12 -gallon jug of milk every 3 days.
The rate at which they drink milk will be gotten by dividing the gallons of milk they drink by the number of days. This will be:
= 12/3
= 4 gallons per day
Therefore, the rate they use in taking milk is 4 gallons per day.
If a house is built on sand is sinking at a rate of two inches per day which is the change in the height above ground of the house after 11 days
Answer:
Height of the house will reduce by 22 feet after 11 days.
Step-by-step explanation:
A house is sinking at the rate of 2 inches per day.
That means rate of sinking of the house is 2 inches in a day.
Therefore, house will sink or change in height of the house in 11 days
= Rate o change in height × Number of days
= 2 × 11
= 22 feet
Height of the house will reduce by 22 feet after 11 days.
Use the distributive property to expand (simplify): 3(4x - 12yz)
Answer:
12x -36yz
Step-by-step explanation:
hope this helps!
Hello!
In order to simplify this expression, all we have to do is multiply 3 times the terms inside the parentheses:
3(4x-12yz)
12x-36yz
That's the final answer, because there are no like terms here, so we cannot simplify this expression any further.
Hope everything is clear.
Let me know if you have any questions!
#KeepLearning
Thuli has 8 shells and Nandi has 24 shells.what is the ratio of Thuli 's shells to Nandis
PLS HELP MEEEEE!!!!!! I will give the brain thingy!!!
Answer:
y=5
Step-by-step explanation:
16-11= 5.
So y must be 5
pls give brainiest
Answer:
answer y-5
Step-by-step explanation:
do 16-11
What is the approximate area?
Answer:
71.77cm
Step-by-step explanation:
Answer:
71.76 cm^2
Step-by-step explanation:
The composite figure is made up of a rectangle with a missing half circle and a triangle.
area = area of rectangle + area of triangle - area of half circle
For the circle, radius = r = diameter/2 = 7 cm/2 = 3.5 cm.
area = LW + bh/2 - (pi)r^2/2
area = 10 cm * 7 cm + 7 cm * 6 cm/2 + (3.14)(3.5 cm)^2/2
area = 70 cm^2 + 21 cm^2 - 19.24 cm^2
area = 71.77 cm^2
Answer: 71.76 cm^2
A.Vertical
B.Adjacent
C.complementary
D.Supplementary
E.none
Answer:
none or vertical
Step-by-step explanation:
I think sorry if I get that wrong