Let f(x) = x2 + 3
Find f(2)
f(2)=
Answer:
7
Step-by-step explanation:
f(2) = 2^2 +3
=4+3
=7
A function is given:
f(x) = 3x + 12
a. Determine the inverse of this function and name it g(x).
b. Use composite functions to show that these functions are inverses.
c. Evaluate f(g(–2)). Explain: What is the domain?
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
Need help ASAP Geometry
Answer:
Step-by-step explanation:
5x-1 is twice the bisector angle 4x-17 so
5x-1=2(4x-17)
5x-1=8x-34
-3x=-33
x=11, abc=5x-1
5(11)-1=54
You make a profit of $2 for each baked good (b) you sell in your fundraiser. Which
equation could help you determine how many you need to sell to earn your goal
of $950? *
How many baked goods do you need to sell to meet your goal
Answer:
an equation to find it could look like:
950=2x
you need 425 sold baked goods to reach your goal
Step-by-step explanation:
how do I explain?
Answer:
1. 2x = 950
2. you will need 475 baked goods to meet your goal.
Step-by-step explanation:
x^2+4y^2=36 the lenght of the major axis is?
Answer:
Step-by-step explanation:
x² + 4y² = 36
divide by constant
x²/36 + y²/9 = 1
x²/6² + y²/3² = 1
6>3, so length of major axis is 2×6 = 12
please help me ASAP this is very important explain for brainlist.
Answer:
A= 320 in^2
Step-by-step explanation:
A = 1/2 (d1)(d2)
A = 1/2(20)(32)
A= 320 in^2
Ajani's mother baked 5 peanut butter cookies for every 7 chocolate chip cookies she baked. If she made a total of 96 cookies, how many were peanut butter cookies?
Answer:
5+7=12
96/12=8
5*8=40 cookies
Step-by-step explanation:
When using the distributive property, the expression
3(2x - 1) would be simplified to
Answer:
[tex]6x - 3[/tex]
Step-by-step explanation:
consider downloading photomath
Directions: Tell whether the following are characteristics of stocks or bonds. Write stock or
bond
1. A form of equity financing or raising money by allowing investors to be part owners of
the company.
2. It can be appropriate for retirees or for those who need the money soon
3. Investors can earn if the security prices increase, but they can loose money if the
security prices decrease or worse if the company goes bankrupt.
4. A form of debt financing or raising money by borrowing from investors
5. Investors are guaranteed interest payments and a return of their money at the maturity
date
Answer:
I need help with my question. can someone help me
In QRS q=9.6 inches r=9.9 inches and S=92 Find the length of a to the nearest 10th of an inch
Answer:
14
Step-by-step explanation:
delta math gave me the answer
The length of a to the nearest 10th of an inch is 13.6 inches.
What is Trigonometry?One area of mathematics known as trigonometry examines the relationship between the sides and angles of a right triangle. The relationship between sides and angles is defined for 6 trigonometric functions.
We have,
In ΔQRS q=9.6 inches r=9.9 inches and S=92.
So, s² = q² + r² - 2qr cos s
s² = 9.6² + 9.9² + 2(9.6)(9.9) cos 92.
s² = 190.71 + 190.08 x (-0.035)
s² = 183.52
s = 13.55
s = 13.6 inches
Learn more about Trigonometry here:
https://brainly.com/question/29002217
#SPJ5
2
X. - 144
(Type your answer in factor
Answer:
(x+12) (x-12)
Step-by-step explanation:
12x12=144
A ride in a taxi costs a flat rate of $4.25 and $1.75 per mile.
If my bill was $14.75, how many miles did I ride?
Answer:
6
Step-by-step explanation:
take 14.75 and minus the flat rate of 4.25 and then divide the 1.75 per mile and you get that you rode 6 miles
Evaluate h(16) for the function h(x) = -|x/-4|
Answer: h(16)=-4
Step-by-step explanation:
Given
h(x)=-|x/-4|
Substitute the value into the function
h(x)=-|x/-4|
h(16)=-|(16)/-4|
h(16)=-|-4|
h(16)=-4
Hope this helps!! :)
Please let me know if you have any questions
If x + 3 = 13, then the value of 5x – 74 is
Answer:
-24
Step-by-step explanation:
We are given two equations and are asked to solve if one equals a certain amount to the other.
Let's focus on x + 3 = 13, we need to first figure out what is x. Which is very simple, what plus 3 equals 13?
10 of course, therefore x = 10, and we can implement into the other equation.
5x - 74
Since x = 10, we can substitute x with 10 and then multiply.
5(10) - 74
50 - 74
What is 50 - 74?
-24
Please help the problems are in the picture provided below.
Answer:
Top Left= 40yd²
Top Right= 441yd²
Bottom Left= 21ft²
Bottom Right= 105ft²
Step-by-step explanation:
Top left- 10×4= 40
Top right- 21×21= 441
Bottom right- 7×3= 21
Bottom left- 15×7=105
The yearbook club had a meeting. The meeting had 24 people, which is three-fourths of the club. How many people are in the club?
Answer:
32
Brainiest plz? :)
Stephanie has 7/8 pounds of bird seed she used 3/8 pound to fill a a bird feeder how munch bird seed does Stephanie have left
Answer:
1/2 is your answer = 4/8 because 7/8 - 3/8 = 4/8 = 1/2.
Step-by-step explanation:
Answer:
1/2
Step-by-step explanation:
7/8 - 3/8 = 4/8
4/8 = 1/2
10. What is the length of s?
I
450
Select the answer choice that correctly describes the graph (on a number line) of the inequality: h > 7
Group of answer choices
closed circle at 7 with an arrow pointing left
open circle at 7 with an arrow pointing left
open circle at 7 with an arrow pointing right
closed circle at 7 with an arrow pointing right
Close circle at 7 with an arrow pointing
right.
hope it helps
Find the product of (x − 8)2 and explain how it demonstrates the closure property of multiplication.
A. x2 − 64; is a polynomial
B. x2 − 16x + 64; is a polynomial
C. x2 − 64; may or may not be a polynomial
D. x2 − 16x + 64; may or may not be a polynomial
Answer:
B
Step-by-step explanation:
(x-8)^2=(x-8)(x-8)=x^2-8x-8x+64=x^2-16x+64
Answer:
x2 − 16x + 64; is a polynomial
An urn contains 3 red and 5 orange marbles. 2 marbles are selected without replacement. Find the probability that the second marble selected is orange given that the first marble selected is orange.
Answer: [tex]\dfrac{5}{14}[/tex]
Step-by-step explanation:
Given: An urn contains 3 red and 5 orange marbles.
Total marbles = 3+5=8
Probability of getting orange marble = [tex]\dfrac{\text{Number of orange marble}}{\text{Total}}[/tex]
[tex]=\dfrac{5}{8}[/tex]
Now marbles left = 7
Orange marbles left = 4
and Probability of getting orange marble = [tex]\dfrac47[/tex]
The probability that the second marble selected is orange given that the first marble selected is orange[tex]=\dfrac58\times\dfrac47=\dfrac{5}{2}\times\dfrac17=\dfrac{5}{14}[/tex]
Required probability= [tex]\dfrac{5}{14}[/tex]
¿Están los números 89 y 144 en relación
áurea?
a. No porque su producto es 12816.
b. No porque su cociente es 0,5.
c. Si porque su diferencia es 55.
d. Si porque su cociente es 0,618...
Answer:
b. No porque su cociente es 0,5.
Divide P. 80.00 people so that the second will have twice as much as the first and the third will have P. 5.00 less than the second. how much the first, second and third person gets?
Answer:
first collects 17, second 34 and third 29
Step-by-step explanation:
Total amount to be shared = 80.00
If first person received x
second received y
Third received z
If the second will have twice as much as the first, then;
y = 2x
x = y/2
If the third will have P. 5.00 less than the second, then
z = y-5
y = z+5
Substitute both equation in original equation
x+y+z = 80
y/2 + y + y-5 = 80
y + 2y + 2y -10 = 160
5y = 160+10
5y = 170
y = 170/5
y = 34
x = y/2
x = 34/2
x = 17
z = y - 5
z = 34-5
z = 29
Hence the first collects 17, second 34 and third 29
You borrow $3,209 from a friend and promise to pay back $4,210.21 in 4 years. What simple interest rate will you pay?
Answer:
7.80%
Step-by-step explanation:
Given data
Amount borrowed=$3,209
Payback amount= $4,210.21
Simple interest= 4,210.21-3,209= 1001.21
time= 4 years
We know that
SI= PRT/100
1001.21= 3,209*R*4/100
cross multiply
1001.21*100= 12836R
100121/ 12836= R
R=7.80
Hence the rate is 7.80%
Can somebody please only answer this if u know the answer im very low on points thank you!
Answer + Explanation:
Find the coordinates of each point and multiply it by 4:
J (1, 4) --> J' (4, 16)
K (6, 4) --> K' (24, 16)
L (6, 1) --> L' (24, 4)
M (1, 1) --> M' (4, 4)
please help me
Which measurements could create more than one triangle?
A. A triangle with sides measuring 5 cm and 10 cm and an included angle measuring 40°
B. A triangle with sides measuring 4 inches, 8 inches, and 15 inches
C. A triangle with sides measuring 6 inches, 8 inches, and 10 inches
D. A triangle with angles measuring 75°, 60°, and 45°
Answer:
your answer is up there
Step-by-step explanation:
Sorry for not being some help i really am Red Riot out
What is the value of y?
72°
A. 1080
B. 540
C. 36°
D. 720
Answer:
B. 54
Explanation:
Take 72 from 180.
180 - 72 = 108.
Since there are two y's AND they're congruent, divide 108 by two and get 54.
si un costal de azúcar contiene 61.5Kg ¿cuántos paquetes de 0.750Kg se pueden llenar?
Answer:
Cantidad total = 82 Paquetes
Step-by-step explanation:
Dados los siguientes parámetros;
Cantidad de azucar = 61.5kg
Tamaño de cada paquete = 0.75kg
Para encontrar la cantidad total de paquetes;
[tex] Cantidad \; total = \frac {Cantidad}{Tamano \; de \; cada \; paquete} [/tex]
[tex] Cantidad \; total = \frac {61.5}{0.75} [/tex]
Cantidad total = 82 Paquetes.
Por lo tanto, se pueden llenar 82 paquetes de azúcar.
Which function is shown on the graph?
A. f(x)=1/2cos x
B. f(x)=1/2sin x
C. f(x)=-1/2cos x
D. f(x)=-1/2sin x
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
I took the test
help me with this answer please !
Answer:
pick number 3 I think that's the one