Answer:
See explanations below
Step-by-step explanation:
Given the function
f(x) = 3x+12
Let y = f(x)
y = 3x+12
Replace y with x
x = 3y+12
Make y the subject
3y = x-12
y = (x-12)/3
Hence the required inverse is!
g(x) = (x-12)/3
b) To show that the functions are inverses, we must show that f(g(x)) = g(f(x))
f(g(x)) = f((x-12)/3)
Replace x in f(x) with x-12/3
f(g(x)) = 3(x-12)/3 +12
f(g(x)) = x-12+12
f(g(x)) = x
Similarly for g(f(x))
g(f(x)) = g(3x+12)
g(f(x)) = (3x+12-12)/3
g(f(x)) = 3x/3
g(f(x)) = x
Since f(g(x)) = g(f(x)) = x, hence they are inverses of each other
c) Given f(g(x)) = x
f(g(–2)) = -2
The domain is the input variable of the function. Hence the domain is -2
Alvin is 15 years younger than Elga. The sum of their ages is 49. What is Elga's age?
Answer:
32
Step-by-step explanation:
Suppose Alvin is x years old. Then Elga is x+15 years old.
x+x+15=49
2x=34
x=17
17+15=32
cm
squa
(i)
D
5 cm
(ii
4 cm
A
6 cm
Answer:
6 squared
Step-by-step explanation:
HELP EXPLAIN THIS TO ME
Answer:
-54 an
Step-by-step explanation:
Answer:
I'm guessing when it says "over the y-axis", it means to reflect it over the y-axis.
In that case, you would graph the points of the triangle, then flip them over the y-axis (change the x-values).
ex. R(-5,3)-R`(5,3)
You have a rental company come and set up a tent for a wedding banquet. Each pole is 7 feet tall and the 20 foot-long rope goes from one stake to an eyelet at the top of the pole and back to the other stake. What is the equal distance each stake will be away from the base of the pole?
Answer and explanation:
The connection of the rope from the stake to the pole will form a triangle so that one side is the hypotenuse(the rope), another is the opposite side(the pole) and the other is the adjacent side(the distance from the stake to the pole).
The unknown side is the adjacent side which is the distance from the stake to the pole. To find an unknown side in a triangle in this form, we use the Pythagorean theorem.
Therefore c²=a²+b²
c=20ft
a= 7ft
b= unknown
So we use the formula to find unknown side(distance from stake to base of pole)
20²=7²+b²
400=49+b²
b²=400-49
b²= 351
b=√351
b= 18.735ft
Therefore distance from stake to base of pole = 18.735 feet
An exponential function, f(x), passes through the points (2,5) and (8,20). Determine the value of f(25) to the nearest integer.
Answer:
assume: f(x) = A(bx); then: f(8) = A(b8) = 20;
and: f(2) = A(b2) = 5
dividing the first equation by the second equation gives: b6 = 4; or: b = 4(1/6) = 1.26;
then: A(1.262) = 5; or: A = 5/(1.262) = 3.15; then: f(x) = 3.15(1.26x);
so that: f(25) = 3.15(1.2625) = 1017.6 ---> 1018
Step-by-step explanation:
hope it helps and Work..
Of 500 seventh grade students, 310 walk to school. What percent of seventh graders do not walk to school?
Answer:
38%
Step-by-step explanation:
[tex]\frac{Part}{Whole}[/tex] × 100%
500 - 310 = 190
[tex]\frac{190}{500}[/tex] × 100% = 38%
In a sale normall prices are reduced by 10% Natalie brought a pair of shoes from the sale and they cost £54 what was the original price
Answer: £60
Step-by-step explanation:
Natalie bought a pair of shoes for £54 which had been reduced by 10%.
To find the original cost, assume the original cost is x.
The discount would be: 10% * x
The expression would therefore be:
x - (10% * x) = 54
x - 0.1x = 54
0.9x = 54
x = 54 / 0.9
x = £60
Ana multiplied 24,567 by a secret number. The product was more than 24,567. Select all the numbers that could be the secret number.
Answer:
what are the numbers..?
Step-by-step explanation:
LA Galaxy have won 60% of their soccer matches. If they have played 40 matches, how many have they won?
Answer: LA Galaxy has won 24 of their soccer matches.
Step-by-step explanation:
To find 60% of 40, you can multiply 60/100 by 40.
60/100 x 40 = 24.
In conclusion, LA Galaxy has won 24 of their soccer matches.
Select the expression that shows the application of the distributive property for
9(t - 5)
a
9t + 14
b
9 + t + 9 + 5
c
9t + 45
d
9t - 45
PLEASE HELP ME!!!
Answer:
c. 9t+45 that shows distributive property
where it shows a*(b+c)=(a*b)+(b*c).so,9(t+5)=9*t+9*5
Four expressions are shown below:
A 21x + 6
B 3(7x + 2)
C 18x + 9
D 3(6x + 3)
Which two expressions are equivalent to 3(6x + 2 + x)? ( by the way i will give brainlist to who ever says the awnser plus say #BRAINLISTPLZ )
Answer:
B) 3(7x + 2)
Step-by-step explanation:
6x is 6x and x is 1x but you don't usually put the 1 infront of the x.
Solve for x. Need help please
Answer:
19
Step-by-step explanation:
1. Both angles would probably add up to 180 degrees.
2. So rewrite this as an equation. (2x + 3) + (9x - 32) = 180
3. Add up like terms like 2x and 9x which would be 11x
4. Rewrite equation again for less confusion. 11x + 3 - 32 = 180
5. Combine like terms again. Like terms this time are 3 and 32
6. 3 - 32 which would be negative 29
7. Rewrite equation again for less confusion. 11x - 29 = 180
8. Add 29 to both sides of equation meaning add 29 to 180.
9. You're left with 11x = 209
10. Divide 209 by 11
11. Lastly you get 19.
I hope this helped and that it's right!
Ill give u brainly if u help on this one too please !
Answer:
The correct answer is B!
Step-by-step explanation:
I hope it helps you Sir (or ma'am.)
How do I solve these two complex fraction problems 7/x + 3/2 / 5/x and x+3/3x / x^2-9/6x-9?
Answer:
x
=
0, 1/3
x=x^3-x/2-9
Step-by-step explanation:
Help with this question plz
Answer:
A)y=x²-11x+24
Step-by-step explanation:
20x – 10 + 6x - 4
Make the equation smaller
Answer:
simplify
Step-by-step explanation:
20x-10+6x+4
20x+6x
26x-14
also**
Download the app MathPapa, it really helps me and you can simplify equations.
can someone help me with this please?
A walkway goes through the middle of a square playground from one corner to the opposite corner. If the walkway is 20 meters long, how long are each of the sides of the playground? Round your answer to the nearest hundredths.
Need Help!
I really need help with trigonometry and laws of sine I’m being timed so please help me
Answer:
square root of 75, using Pythagorean theorem.
Step-by-step explanation:
Mrs. Upton's baby weighs 5 pounds and 4 ounces. How many total ounces does the baby weigh?
Answer:
84 ounces
Step-by-step explanation:
5 pounds in ounces is 80 plus the 4 ounces is 84
hope this helps
pls mark brainliest
Answer:
84 ounces
Step-by-step explanation:
16 ounces per pound
16 x 5 = 80
80 + 4 = 84
HELP PLSSSS ILL GIVE U 22 PLSSS HELPO
Answer: no they are not
Step-by-step explanation:
Answer:
no
Step-by-step explanation:
KM=11-7=4
if parallel, KM/KJ=LN/LJ
substituting:
4/11 is not equal to 3/8
A store in Madison, Wisconsin, advertised an HDTV for $1,224.95.
a. What is the sales tax if the combined state and city rate is 6 percent?
b. What is the total purchase price?
Answer:
a. $73.50
b. $1298.45
Step-by-step explanation:
6% of $1224.95 is $73.50
add them and it's $1298.45 total
A rectangle shop in the mall has a perimeter of 36 meters. Its area is 80 square meters. What are the dimensions of the shop?
Answer:
Length, l = 10 m, breadth = 8 m
Step-by-step explanation:
Let l be the length and b be the width of the rectangle.
The area of a rectangle is given by :
A = lb
80 = lb ...(1)
The perimeter of a rectangle is given by :
P = 2(l+b)
36 = 2(l+b)
18 = (l+b) ....(2)
We need to solve equation (1) and (2). On solving we get :
l = 10, b = 8
So, the dimensions of the shop is 10 m and 8 m.
Peter wrote five numbers. Which of peters numbers can be divided into 7 equal groups with 0 left over? Choose that all apply 56, 52, 42, 35, 27,
Answer:
56
42
35
Step-by-step explanation:
Question 2
Write an equation in slope-intercept form for the line with slope - 3 and y-intercept - 1.
D=0
.
Х
Answer:
y=-3x-1
Step-by-step explanation:
Slope-intercept format:
y = mx+b
m = slope
In this case, the slope is -3b = y-intercept
In this case, the y-intercept is -1Now we plug it in to get the equation:
y=-3x-1
I hope this helped!
Sincerely,
Rekifromsk8theinfinity
:D
-__________________________-
Answer:
minecraft
Step-by-step explanation:
okay I agree with this question
Answer:
thx for the free points
Step-by-step explanation:
have a good day
There are 39 students in a class of which 14 are girls,
What fraction of the students is girls?20 points
Answer:
it would be 14/39
Step-by-step explanation:
Is the relation a function?? Plzz helppp!!!
(1,19) , (2,23) , (3,23) , (4,29) , (5,31)
Answer: no
Step-by-step explanation: if the y values are the same they are not functions. :) (ps, x values can be the same in a function!)
Answer:
no :)
Step-by-step explanation:
because (2,23) and (3,23) have the same y function
hope this helps!
2x-2= 10x -4 help me
Answer
-8x=-2
x=-2/-8
x=1/4
Step-by-step explanation:
helppp
If h = 10 cm and r = 5 cm, then the volume of this cone is___________cm3. (round to the 100th)
Answer:
261.8
Step-by-step explanation:
pi x 5 squared x 10/3 = 261.8 for a cone