Answer:
f^-1(x) = (x² + 21)/7
Step-by-step explanation:
Since f(x) = y = √(7x – 21), to find the inverse of f(x) we have to write x in terms of y in order to make x the dependent variable and y the independent variable. The steps involved are:
Step 1: square both sides of the equation, y = √(7x – 21). Doing that, we have:
y² = 7x – 21
Step 2: Add 21 to both sides of the resulting equation. Doing that, we have:
y² + 21 = 7x
Step 3: Divide both sides of the equation by 7. Doing that we have:
x = (y² + 21)/7
Step 4: Replace x with f^-1(x) and y with x. Doing that, we have:
f^-1(x) = (x² + 21)/7
Answer:look at explanation
Step-by-step explanation:
3(3) + 3(2/3)......................
PLEASE HELP!! Will mark brainliest, find the measure of
Answer:
[tex]m\angle BYP=42^\circ[/tex]
Step-by-step explanation:
Lines and angles
The figure shows three lines forming two angles BYP and PYH whose measures add up to 90° because it's marked as a right angle.
[tex]m\angle BYP+m\angle PYH=90^\circ[/tex]
We are given the acute angles as a function of m. thus:
5m + 98 + 2m + 48 = 90
Simplifying:
5m + 146 = 90
5m = -56
m = -56/5 = -11.2
m = -11.2°
To find the measure of angle BYP, substitute m in
5m + 98 = 5*(-11.2) + 98 = 42°
[tex]m\angle BYP=42^\circ[/tex]
What is the value of each variable 45 h and 9
Answer:
How many variables?
Step-by-step explanation:
In quadrilateral ABCD m < A= 90°
m 2 C = 50° and m < B = m D.
Find the degree measure of < B.
Answer:
m∠B = 170°
Step-by-step explanation:
Sum of all angles in quadrilateral is 360°:
m∠A + m∠B + m∠C + m∠D = 360°
m∠B = 360° - m∠A - m∠C - m∠D
m∠A = 90°
m∠B = m∠D= 50°
m∠B = 360° - 90° - 50° - 50° = 170°
For questions 13 - 14, determine which mappings are functions. please help, will give brainliest
Answer:
24
Step-by-step explanation:
boris has 10 pairs of jeans 15 shirts and 7 sweaters in his closet right the ratio of sweaters to pairs of jeans using a colon
Answer:
7:10 or 3:5
Step-by-step explanation:
Answer:
Step-by-step explanation:
7:10 h
50 POINTS!!!!!! PLEASE HELP FAST
What is the radical form of the expression 423?
Answer:
A
Step-by-step explanation:
A fraction exponent can be represented using a radical. The base number is the number in the radical. The numerator of the fraction is the exponent inside the radical. The denominator is the type of radical.
To write an exponent in radical form , the denominator, or index goes in front of the radical, and the numerator goes inside of the radical. We raise the base to the power of the numerator
4 2/3
∛4².
Hope this helps :)
PLEASE ANSWER 16 17 18 CORRECTLY I WILL MARK BRAINLIST
Answer:
A A B
Step-by-step explanation:
Write the given phrase as an algebraic expression. Use the variable x to represent each unknown number.
A number divided by three
Answer:
x/3
Step-by-step explanation:
"A number" is an unknown number so represent it with x
"A number divided by 3" is x divided by 3
Launch Problem
A group of friends is making goody bags for a birthday party. They have 12 pencils, 6 erasers, and 18 stickers.
(a) What is the greatest number of identical goody bags they can make using all of the pencils, erasers, and stickers?
(b) How many pencils, erasers, and stickers would each bag have?
Answer:
A) 6
B) 2 Pencils,1 Eraser,3 Stickers.
Step-by-step explanation:
Hope this helps!
Hannah is a photographer who specializes in portraits. This morning, she soent four hours doing graduation portrait sessions. In the afternoon, she soent four hours doing family portaits sessions but she didnt do as many session as the graduation portraits. Tomorrow, she has the same number of graduation and family sessions to work. Which will she likely finish in less time?
1 is 25% of what number?
Answer:
4
hope it helps.........
Answer:
1 is 25% of 4
Step-by-step explanation:
let the number be x,
so, 25% of x = 1
=》25/100 × x = 1
=》 1/4 × x = 1
=》 x = 1×4
=》 x = 4
hence the required number is 4
i hope u got it
simplify this algbraic expression completely 5y-3(y+2)
Answer:
2y - 6
Step-by-step explanation:
5y - 3(y + 2)
distribute
5y + (-3 * y) + (-3 * 2)
simplify
5y -3y + ( -3 * 2)
5y - 3y + ( -6)
5y - 3y - 6
combine like terms
5-3 = 2
2y - 6
what is equivalent to 2 with a little 4
Answer:
16 is your answer
Step-by-step explanation:
plz mark brainliest to help rank ;)
Given that R= 7x + 7y
Find r when y = 2 and R=8
find x
Give your answer as a fraction in its simplest form.
Answer:
Step-by-step explanation:
564/5
Evaluate 3x-5y when x=5 and y=1
Answer:
10
Step-by-step explanation:
Place it in.
3(5)-5(1)
15-5
10
if two fair coins are tossed simultaneously, what are the chances of both coming up 'heads'?
Answer:
i think 1/4
Step-by-step explanation:
Answer:
[tex]\frac{1}{4}[/tex]
Step-by-step explanation:
We name the coins coin 1 and coin 2 for the sake of simplicity.
There are four possible situations:
coin 1 head, coin 2 head
coin 1 head, coin 2 tails
coin 1 tails, coin 2 head
coin 1 tails, coin 2 tails
Only case 1 results in both 'heads'. So the probability is 1/4.
4X + 11 < -21 graph represents
Answer:
The graph of y = 4x - 11 is translated up 8 units. Which equation represents the translated graph? f y = 4x - 19 g y = 4x - 3 h y = 12x - 11 j y = 12x - 3
Answer: x=-8. (graph with open circle going left from -8 for khan academy)
Step-by-step explanation: -21-11<-32
4x>-32
x<-8
The scatter graph shows the scores of 16 students on the biology and physics tests
Step-by-step explanation:
85 l don't see questions properly so l knew this much only l don't know exact answer so l write this answer
Anyone mind helping me? 4.5+x=11?
Move all terms not containing x to the right side of the equation.
x = 6.5
what’s the answer? i need it asap please
Answer:
D
Step-by-step explanation:
Subtract 30 and 16. Cross out 0 and make it a 10 and 10-6= 4 then take 1 from 3 and make it a 2 and 2-1=1. It will all equal up to 14!
Answer:
8x+30+4x+18=180
12x+48=180
180-48=12x
132=12x
x=132/12
x=11
PLS ANSWER THIS ASAP THANK YOU AND I WILL GIVE YOU THANKS
Your bill at pizza hut is $30. You leave 20% tip. Whats is the amount of tip?
You gave $30.
[$30 * 0.20] (tip % amount) = $6.
You left $6 in tips.
The Hunters drove to visit some friends. The table below shows how long it 1 point
took the Hunters to drive certain distances. Which unit rate describes the
Hunters' speed? (6.RP.2c)
Miles
120
180
240
Hours
2.
3
4.
30 miles per 1/2 hour
O 55 miles per hour
0 60 miles per hour
O 120 miles per 2 hours
Answer:
Step-by-step explanation: 250 miles + 50 miles = 300 miles
300 miles / 5 hours = 60 miles per hour
Need to solve help plz
is 355.95 correct when it was 325 with 10.5% tax ?
Answer:
359.13
Step-by-step explanation:
Sales tax rate: 10.5%;
Price without tax: $325 dollars;
Amount of sales tax ≈ $34.13 dollars;
Price with sales tax ≈ $359.13 dollars;
A giant tortoise moves at a slow but steady pace. It takes
the giant tortoise 3 seconds to travel 10.5 inches.
How many inches will the tortoise travel in 1 second?
6) A right triangle its rotated about an axis that passes through its height as shown. Which type of object will be formed by its rotation? Describe in words or draw a picture
object will be formed by its rotation? Describe in words or draw a picture.
Answer:
a cone
Step-by-step explanation:
i got it right
Answer:
CONE
Step-by-step explanation:
-2x + y = 11
-7x - y - 25
Using the common denominator, what is an equivalent fraction for
4/7 ?
Answer:
6/7,5/7,and 1/8 I think T^T