Consider function f. f(x) = sqrt 7x- 21
Place the steps for finding f^-1(x) in the correct order.
please help:)
Answers
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:
Related Questions
Find the area of triangle abc
Answers
If you multiply a number by 3 and then subtract 5, you will get 40. What is the number?
Answers
Answer:
15
Step-by-step explanation:
Solve the problem backwards and it gives you the answer. Hope this helps
A cell phone is originally priced at $80. The online retailer gives a discount and the cell phone is now priced at $40. Enter the percentage discount for the cost of the cell phone.
Answers
Answer: The percent that the phone is on sale is 50%. The discount if 40 dollars.1/2 of the total will be taken off.
PLEASE ANSWER ASAP FOR BRANLEST!!!!!!!!!!!!!!!
Solve,Check, show work:
a) 2x + 7 = 15
b) 3/4x + 8 = -12
Answers
A)11
B)0.1875
Step-by-step explanation:
2x+7=15
2x+7-7=15+7
2x=22
2x/2=22/2
3.4x+8=-12
3/4x+8-8=-12+8
3/4x=-4
3/4divided by 3/4=-4 divided by 3/4
x=0.1875
write the ration in following three ways
12 mangoes to 36 fruits
Answers
What involves examining and evaluating information, as well as weighing alternatives and considering consequences?
Answers
Answer: Critical Thinking.
Step-by-step explanation:
Critical thinking is the process of conceptualizing, applying, analyzing, synthesizing, and/or reviewing data acquired from, or generated by, observation, experience, reflection, reasoning, or communication actively and skillfully as a guide to intellectually disciplined belief and action.
please help y'all no matter what I do I cannot figure this out please help what number would you add to both sides to complete the square in this trinomial x ^ 2 + 6x = -5 and the options are 6 , 9 , 12 and please show how you did it so I can figure out the rest of my homework
Answers
Answer:
Im sorry im not sure
Step-by-step explanation:
PLEASE ANSWER THIS ASAP, I WILL BE GIVING YOU A THANKS! ..
Answers
Answer:
D
Step-by-step explanation:
7 - z = 3 + z + 4 - 2z
7 - 3 - 4 = z - 2z + z
0 = 0 (Infinitely many solutions)
5(a + 4) - 15 = -5(a - 1)
5a + 20 - 15 = -5a + 5
5a + 5a = 5 - 20 + 15
10a = 40
10a/10 = 40
a = 4
(one solution)
-2d + 4d - 4 = 5 + 3(d - 3)
2d - 4 = 5 + 3d - 9
2d - 3d = 5 - 9 + 4
- d = 0
d = 0
(one solution)
-11(n - 2) + 8(n + 1) = -3(n + 10)
-11n + 22 + 8n + 8 = -3n - 30
-11n + 8n + 3n = -30 - 22 - 8
0 = -60
(no solutions)
[tex]\frac{1}{2} x \frac{3}{4}[/tex]
Answers
The variables y and x have a proportional relationship, and y = 9 when x = 2. What is the value of y when x = 3? Enter your answer as a decimal in the box.
Answers
9/2 = y/3.....9 to 2 = y to 3
cross multiply
(2)(y) = (9)(3)
2y = 27
y = 27/2
y = 13.5 <== so when x = 3, y = 13.5
The area of a square field is 4,900 square meters. How long is one side
of the field?
O 70 meters
O 140 meters
O 560 meters
O 1225 meters
Answers
Answer:
1225
Step-by-step explanation:
divide by 4 because a square has 4 sides
SOMEONE HELP PLEASE !!!
n^2 - m; use m = 7, and n = 8
Answers
Answer:
57
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
n² - m
m = 7
n = 8
Step 2: Evaluate
Substitute: 8² - 7Exponents: 64 - 7Subtract: 57One step equation
-104=8x
Answers
Answer:
The answer you gave can only be solved if you know what the Variable is.
Step-by-step explanation:
A one-step equation is an algebraic equation you can solve in only one step. Once you've solved it, you've found the value of the variable that makes the equation true. To solve one-step equations, we do the inverse (opposite) of whatever operation is being performed on the variable, so we get the variable by itself.
When is subtraction always the first operation done in an expression? a. When it is the first operation in an expression, from left to right. b. When it follows addition in an expression. c. When it is in parentheses in an expression. d.Never. 1.
Answers
Answer:
Naruto usamaki is the greatest hokagey in the leaf village
Step-by-step explanation:
I took the test on edge
Give the name (monomial,
binomial, trinomial etc.) and
degree of the polynomial.
3x – 4
Answers
Answer:
degree- 1
name- binomial i think
Mrs. Thaxton saved $700.00 to take her four grandchildren shopping. Her grandchildren are between the ages of 5 and 11. If Mrs. Thaxton spent $115.00 on each grandchild, how much money did she have left?
Answers
Answer:
240
Step-by-step explanation:
115x4=460
700-460=240
The top of a 25-foot ladder is sliding down a wall at a rate of 3 feet per second. When the top of the ladder is 15 feet from the ground, what is the rate of change between the bottom of the ladder and the wall?
Answers
Answer:
1.8ft/s
Step-by-step explanation:
Using the formula for calculating Speed as shown:
Speed = Distance/Time
Time = Distance/Speed
t = d/s
Given
d1 = 25 foot
s1 = 3ft/s
d2 = 15ft
Required
s2
Using the formula;
d1/s1 = d2/s2
s2 = s1d2/d1
s2 = 3*15/25
s2 = 45/25
s2 = 1.8ft/s
Hence the rate of change between the bottom of the ladder and the wall is 1.8ft/s
r
__ = 1.5
14
what does r equal
Answers
Answer:
answer is r=21
Step-by-step explanation:
multiply 1.5 with 14
which of the followiing units the Metric System Identify 5 units
Answers
ANSWER:
MEASURE OF BASIC SI UNIT
Distance meter
volume(capacity) liter
mass(weight) gram
time. seconds
Temperature. Degree (Celsius)
Could someone pls help me
Answers
Answer: Ik an easier way to answer it without waiting for someone to answer it for you. So all you have to do is search up the question for each expression and you'll find it. I remember doing this yesterday for nearly that exact worksheet but i forget the answers and cant go back so im just telling you how to find the answers your welcome
Step-by-step explanation:
What is 6% of 15? Use a fraction to solve
Answers
Answer:
0.9
Step-by-step explanation:
can't really Explain, its simple mathamatics 6% of 15 = 0.9
Please help.. Please. Is this a positive trend or negative trend or no trend
Answers
Answer:
it's a no trend cause its literally nothing but dots
1. A 15-pound bag of sugar is being split into containers that hold of a pound. How many
containers of sugar will the 15-pound bag create?
The answer is: 17 1/7 containers. The work is on the photo
Answers
Answer:
yes
Step-by-step explanation:
yes
Write an equation of the line that passes through (−2,3) and (0,8).
Answers
Answer:
[tex]y = \frac{5}{2}x + 8[/tex]
Step-by-step explanation:
(-2 , 3 ) ; (0 , 8)
Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]= \frac{8-3}{0-[-2]}\\\\=\frac{5}{0+2}\\\\=\frac{5}{2}[/tex]
m = 5/2 ; (0 , 8)
Equation: y -y1 = m(x -x1)
[tex]y - 8 =\frac{5}{2}(x - 0)\\\\y - 8 =\frac{5}{2}x\\y = \frac{5}{2}x + 8[/tex]
Out of 498 applicants for a job, 187 have over 10 years of experience and 127 have over 10 years of experience and have a graduate degree. Step 1 of 2 : What is the probability that a randomly chosen applicant has a graduate degree, given that they have over 10 years of experience
Answers
Answer:
the probability that randomly selected applicants over 10 years of experience is 0.6791
Step-by-step explanation:
The computation of the probability that randomly selected applicants over 10 years of experience is as follows:
Total would be
= 187 have 10 + years experience
Now
P(graduate | 10+) = (graduate and 10+ years experience) ÷ (10 + years of experience)
= 127 ÷ 187
= 0.6791
Hence, the probability that randomly selected applicants over 10 years of experience is 0.6791
Which three side lengths best describe the triangle in the diagram?
O NG
1
2
3
0 1 2
3 4
5 6 7 8 9 10 11 12 13
LLLLLLL
12 13
5
8 9 10 11
4
O NCS 2 3
2
O NOS
O A. 5 cm, 12 cm, and 13 cm
OB. 5 cm, 10 cm, and 13 cm
O C. 4 cm, 8 cm, and 12 cm
OD. 7 cm, 12 cm, and 13 cm
Answers
Step-by-step explanation:
Option A best describes the diagram given above.
A diagram of a swimming pool is shown.
3.5 m
What is the approximate circumference of the swimming pool? Use 3. 14 as an estimate for .
O A. 7m
OB. 11 m
OC. 22 m
OD. 28 m
Answers
Answer:
Yeah the answer is 22
Step-by-step explanation:
Good job! :)
for each one fifth, use a horizontal line or lines to show fractions equivalent to 1/5 and write the equivalent fractions
Answers
Answer:
2/10
Step-by-step explanation:
neeed helppp pleasseeee
Answers
Passes through (-4,-5) Slope = -314
Please Helppppp!!!!!!!!!!!!
Answers
Answer:
[tex]y=-314x-1261[/tex]
Step-by-step explanation:
When we are writing an equation we have to put it in slope-intercept-form [tex]y=mx+b[/tex]. We already know the slope it's -314, we replace m with the slope. Now we have to find b which is the y-intercept. So what we have to do is plug in the ordered pair into the equation. -4 for x and -5 for y.
[tex]y=mx+b\\-5=-314(-4)+b[/tex]
Now we solve
[tex]-5=-314(-4)+b\\-5= 1256+b\\b=-1261[/tex]
So now that we know everything we need we plug in and....
[tex]y=mx+b\\y=-314x-1261[/tex]
we've got our equation!
Answer:
The line slants upward, so the slope is positive.