Answer:
(a) f^-1(x) = 1/4x -3
(b) f is not the inverse of g
Step-by-step explanation:
(a)The inverse of function f can be found by solving ...
x = f(y)
x = 4y +12
x -12 = 4y
x/4 -3 = y
The inverse of function f is ...
f^-1(x) = 1/4x -3
__
(b)g(x) ≠ f^-1(x), so g^-1(x) ≠ f(x). Function f is not an inverse of g.
_____
Additional comment
Function g is a quadratic, so it doesn't have an inverse function, except on a restricted domain.
Because g is 2nd degree, any inverse relation will involve a 1/2 power (square root). Both f and its inverse are linear functions, so cannot be inverses of g.
In Khan academy int he 8th grade section "Geometric transformation" in the section "Properties & definitions of transformations" how are you supposed to do this?
Answer:
First listen to the video on your left of the screen, and then on the right of your screen, you'll see tests. You click on the button below on the test that says practice and if you 3 out of 4 correct, you can do the other videos and tests.
Step-by-step explanation:
Which is a better buy?
Answer:
four pack of notebooks for $4.56
Answer:
the 3-pack of note books for 3.33
Step-by-step explanation:
hope this helped have a great day!
Simplify: –5(3x – 11)
Answer:
40 i think
Step-by-step explanation:
The 5th term in a geometric sequence is 162. The 2nd term is 6, The sum of the 1st 5 terms is.
Answer:
Step-by-step explanation:
t2 = a*r
t2 = 6
t5 = a*r^4
t5 = 162
162/6 = ar^4 / ar
r^3 = 27
r = 3
6 = a*3
2 = a
Sum = a(r^n - 1)
=======
r - 1
n = 5
a = 2
r = 3
Sum = 2(3^5 - 1)
=======
2
Sum = 242
Find the interest earned if you place $76.43 into an account that pays 21.5% simple interest, and leave it in for 3 months
Answer:
$49.297
Step-by-step explanation:
21.5% x 3
divide answer by $76.43
leaves you with how much interest you have earned in 3 months.
9(2x129) = ?
Please help me im suffering math is hard
Answer:
18x^129
Step-by-step explanation:
Answer: That would be 2,322!
Step-by-step explanation:
Grocery Store A is selling bananas for $0.75 for 12 pound. Grocery Store B is selling 5 pounds of bananas for $3.75.
Which store is offering the best unit rate? Show your work.
Step-by-step explanation:
3.75/5=0.75
75 cents per banana for B
0.75/12=0.0625
0.0625 per banana for A
grocery a has the best and lowest unit price.
Bianca, Kelly, and Sara are running a race. They
complete the race in 2.35 hours. If the race was
51.7 miles, calculate their average speed.
Helppppppppp
Answer:
22 miles per hour
Step-by-step explanation:
1. Formula: speed = distance/time
2. s = 51.7 mi ÷ 2.35 hrs
3. s = 22 miles per hour
pls answer quickly
the spring scan shows mass in kilograms what is the mass shown here?
A) 2.5kg
B) 7.5kg
C) 12.5kg
D) 17.5
Answer:
B) 7.5kg
Step-by-step explanation:
It is between 5kg and 10kg, so it would be 7.5kg.
Plz need help
What is the value of (2/3)
Answer:
2/9
Step-by-step explanation:
2(2/3)^2-4(2/3)+2
2(4/9)-8/3+2
8/9-8/3+2
-16/9+2
2/9
The general equation for the geometric sequence -1, -2, -4, ... is a n = -1 · 2 n - 1 .
TrueFalse
[tex]\text{First term,}~ a = -1\\\\\text{Common ratio,}~ r = 2\\\\\text{Nth term} = ar^{n-1}=-1\cdot 2^{n-1}\\[/tex]
Answer:
true
Step-by-step explanation:
I had same question and said true so then it marked my as correct but then my computer screen turned black because its gay
Barron's car dealership sold only trucks and vans this week. When Baron looks at the inventory left, he noticed he sold 80 vehicles but only 10 trucks. Select all the statements that are true A This week, the ratio of trucks to vans sold was 1:7. B This week, the ratio of trucks to vans sold was 7:1. C This means for every 7 vans sold, there was 1 truck sold. D This means for every van sold, there were 7 trucks sold. E This means for every 8 vehicles sold, 1 truck was sold.
The correct statement is for every 8 vehicles sold, 1 truck was sold.
Ratio expresses the relationship between two variables. It expresses the number of times one value is contained within another variable.
In this question, the ratio of trucks to vans is 10 : 80. This means that for every 10 trucks that is sold, 80 cars are sold. The given values can be expressed in its simplest form. To do this divide the numbers by 10. This gives the ratio 1 : 8. This means that for every 8 cars sold 1 truck are sold.
A similar question was answered here: brainly.com/question/411732
How much warmer is 82 than -40?
Pls help
Answer:
122 degrees
Step-by-step explanation:
Take the warmer temperature and subtract the colder temperature
82 - (-40)
82+40
122
The difference is 122
calculate the height of the tree the answer is not 46
Please help trigonometry
Answer:
= 59.36
Step-by-step explanation:
S = 207
so, tan(16) = H/S
tan(16°) = 0.28674539
so H = tan(16) * S = 0.28674539 * 207 = 59.35629573
so the tree high = 59.36 foot
Gwen, Tristan, and Keith like to work out at the gym. They each have an app on their phone that estimates the calories they burn. By the time Tristan and Keith started exercising, Gwen had already burned 100 calories. Gwen burns 10 calories every minute, Tristan burns 125 every 10 minutes, and Keith burns 300 calories every 30 minutes. Let x represent the number of minutes since Tristan and Keith started exercising and y represent the number of app-estimated calories burned.
Answer:
Part A:
Gwen has already burned 100 calories when Tristan and Keith started, and he continues to burn 10 calories per minute. The equation for Gwen is
y = 100 + 10x
Part B:
Tristan is burning 125 calories every 10 minutes. His burning calories rate is 12.5 calories per minute. The equation for Tristan is
y = 12.5x
Part C:
Keith is burning 300 calories in 30 minutes. His rate per minute is 10 calories per minute. The equation for Keith is
y = 10x
Part D:
Just follow the instructions and do the thing for the app. You can then answer the questions it is very easy.
Part E:
Do the same for E after you do Part D.
Step-by-step explanation:
Hope it helps!
Answer: ?
Step-by-step explanation:
Andy spent $46.96 at the grocery store. The cashier gave him $2.97 in charge from a $50 bill. How much change should the cashier have given Andy
Answer:
Option C- $3.05
Step-by-step explanation:
50 - 46.95 = 3.05.
(-3x+4)+(x-9) help please.
Answer:
- 1 · (2×±5)Step-by-step explanation:
Answer:
−2−5
Step-by-step explanation:
(-3x+4)+(x-9)
−3x+4+x−9
Subtract
−3x+4+x−9
-3−5+
Combine terms
−3x−5+x
−2−5
HeLpPPpppPpPppPpppPpPPp
2y(-2y - 8)
Expand & simplify.
show ur steps
Answer:
-4y²- 16y
Step-by-step explanation:
2y(-2y - 8)
2y (-2y) + 2y (-8) Distributive
-4y² - 16y Multiply (+)(-) = - and (y)(y) = y²
1)
Find the value of x.
x=6
Explanation:
The opposite side is 35, and the sides are still the same length, but on the side it has +5, so when you multiply 5 by 6 you'll get 30. 6×5=30
30+5=35.
Therefore,
x is going to have to be 6.
omg please help for brainlist !!!!!!!!!!!!!!
D is correct :)
The bunnies are multiplying by 5 each time. The exponent will have the growth be 5 times the product before.
Hope this helps :)
Answer:
the 4th answer is correct
Step-by-step explanation:
although technically, we don't have enough information, it's the only one that it could be.
Evaluate the following function at the given x value.
f(x) = (3)X + 2-4 at x = 2
A
77
B
5
С
D
7
Answer:
4
Step-by-step explanation:
f(x)=3x+2-4
f(2)=3(2)+2-4
f(2)=6+2-4
f(2)=8-4
f(2)=4
1
6 cm
Diagram NOT
accurately drawn
9cm
Scm
11 cm
2
6 cm
18 cm
The diagram shows a shape.
All of its corners are right angles.
Work out the area of the shape.
The area of the shape is 110 square centimeters
From the diagram, the shape can be subdivided into rectangles of the following dimensions:
6cm by 11cm5cm by 6cm7cm by 2cmSo, the area of the shape is the sum of the areas of the three rectangles.
This gives
[tex]Area = 6cm \times 11cm + 5cm \times 6cm + 7cm \times 2cm[/tex]
Evaluate the products
[tex]Area = 66cm^2 + 30cm^2 + 14cm^2[/tex]
Add the terms
[tex]Area = 110cm^2[/tex]
Hence, the area of the shape is 110 square centimeters
Read more about areas at:
https://brainly.com/question/8408690
1.68 divided by what equals 0.28
Answer:
Step-by-step explanation:
Help help help help
Answer:
C = 18
Step-by-step explanation:
Put the numbers in place of their symbols and do the arithmetic. The diagram is showing you r = 3.
C = 2πr
C = 2(3)(3) . . . . . using 3 for π, as directed
C = 18
[tex]\huge\bf\underline{\underline{\pink{A}\orange{N}\blue{S}\green{W}\red{E}\purple{R:-}}}[/tex]
Here we've been provided with the information given that radius (r) = 3.
And we have to find the circumference (c) of circle. And we have been provided with the formula i.e C = 2πr.
Placing (π = 3) in the above equation,
[tex]:\implies\tt{c = 2\pi r}[/tex]
[tex]:\implies\tt{c = 2 \times 3 \times 3}[/tex]
[tex]:\implies\tt{c = 6 \times 3}[/tex]
[tex]:\implies\tt{c = 18}[/tex]
The circumference of circle is 18cm.solve pls brainliest
Answer:
Yes
Yes
Yes
No
No
Step-by-step explanation:
-42/6 = -7
17/18 = 0.9444444 (4 repeating)
Integers = whole numbers whether negative or not, but it does not have a decimal.
help me please!!!!
please be quick!!
Answer:
40m^2 e
Step-by-step explanation:
5. 19c + 1 = 39
Show the work please
Hello :) Here is the step by step,
19c+1=39
Subtract 1 from both sides.
19c=39−1
Subtract 1 from 39 to get 38.
19c=38
Divide both sides by 19.
c= 19 /38
Divide 38 by 19 to get 2.
c=2
Write an equation in slope-intercept form of the line that passes through the points (2, 4) and (3.6).
Answer:
Step-by-step explanation:
slope-intercept form is y=mx+b
m = slope = change in y/change in x
change in y/change in x = 2/1
m = 2
b = y intercept = y value when x = 0
using the slope, go left 2 units and down 4
when x = 0, y = 0
b = 0
y = mx+b when m = 2 and b = 0
y = 2x+0
y = 2x