The y intercept of the inverse function of f(x) = 3/4 x + 12 is -16, option A is correct.
To find the y-intercept of f⁻¹(x), we can start by finding the inverse function f⁻¹(x) first.
Let y = f(x) = 3/4 x + 12
To find f⁻¹(x), we can first swap x and y, and then solve for y:
x = 3/4 y + 12
x - 12 = 3/4 y
4/3 (x - 12) = y
Therefore, f⁻¹(x) = 4/3 (x - 12)
The y-intercept of f⁻¹(x) is the value of f⁻¹(x) when x = 0.
f⁻¹(0) = 4/3 (0 - 12)
= -16
Hence, the y intercept of the inverse function of f(x) = 3/4 x + 12 is -16, option A is correct.
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Consider the function f(x)=3/4 x + 12
What is the y intercep of f⁻¹(x)
(A) -16
(B) -12
(C) -3/4
(D) 4/3
A sample of 26women is obtained, and their heights (in inches) and pulse rates (in beats per minute) are measured. The linear correlation coefficient is 0.208and the equation of the regression line is ModifyingAbove y with caret equals 17.8 plus 0.940 x,where x represents height. The mean of the 26heights is 63.5in and the mean of the 26pulse rates is 77.9beats per minute. Find the best predicted pulse rate of a woman who is 71in tall.
Answer:
The pulse rate is 84.54bpm
Step-by-step explanation:
Given
[tex]\^{} y = 17.8 + 0.940x[/tex]
Required
Find [tex]\^{}y[/tex] when [tex]x = 71[/tex]
Substitute 71 for x in: [tex]\^{} y = 17.8 + 0.940x[/tex]
[tex]\^{} y = 17.8 + 0.940 * 71[/tex]
[tex]\^{} y = 17.8 + 66.74[/tex]
[tex]\^{} y = 84.54[/tex]
The pulse rate is 84.54bpm
1) A population of bees is increasing at a rate of 8% per week. If
the population had an original size of 250 bees. Then how many
bees will there be after 10 days? (state equation)
Answer:
≈387,7
Step-by-step explanation:
I hope it's right. Sorry if it's not right.
A customer at Lost Pastores placed an order for 3 burritos which was priced at x amount of dollars each. He also ordered a plate of corn tacos for $12.95. His total bill was $32.46.as
Answer:
3x +12.95 = 32.46
Step-by-step explanation:
3 burritos plus x + 12.95 = $32.46
Answer:
i don't know lololololol
Step-by-step explanation:
what is 95% of 800?
Answer:
760
Step-by-step explanation:
95 x 800 / 100 = 760
Answer:
760
Step-by-step explanation:
95 percent *800 =
(95:100)*800 =
(95*800):100 =
76000:100 = 760
giving brainliest !! *easy*
um here’s the graph
In a right angled triangle , one acute angle is 30°. Find the other acute angle
PLEASE HELP!!!! The problem is in the photo below.
Answer:
A is correct.
Step-by-step explanation:
Here, the x would represent the gallons per minute. The minutes are unknown, so it's just a variable. It can't be B either, because the addition sign would mean that the pool is being filled instead of drained.
which expression is equivalent to the following complex fraction 2/x-4/y/-5/y+3/x
Answer:
Step-by-step explanation:
2(y-2x) / (3y-5x)
The floor of a storage unit is 6 ft long and 8 feet wide what is the distance between two opposite corners of the floor
Answer:
10 ft
Step-by-step explanation:
Use theorem pythagoras
Length = x
[tex] {x}^{2} = 8 {}^{2} + {6}^{2} \\ x = - 10 \\ x = 10[/tex]
the answer is 10 because length can't be in negative number
Identify the slope and y-intercept of the line.
8x - 3y = 12
Answer:
y=8/3x-4
Step-by-step explanation:
use the app photomath to get the answers or socratic there free and will help you on homework or tests
Answer:
Step-by-step explanation:
8x-3y=12
-3y=12-8x
y=(12/-3)-8x/(-3)
y= -4+8/3x
slope= 8/3
y-int=-4
What is the length of PR?
Answer: The length of PR is 7 units.
Step-by-step explanation:The length of PR is 7 units.
Answer:
A.7
Step-by-step explanation:
giving brainliest *easy*
Answer: the arc is 6.3 inches. use the formula: arc length = 2πr (θ/360)
Square Root Equation! HELP ME!!!!
Do not scam or false answers.
what is the simple ratio of 1 ½km to 900m
Use the passbook page to answer the question.
Name Ken Ritter
Account 10000000004
Date Deposit Withdrawal Interest Balance
1/02/06 $389.00
$389.00
2/05.06 $25.63
A
3/02/06 $122.33
B
4/02/06
$240 С
4/15,06
$500.00
D
5/06/06 $105.00
E
Ken Ritter was saving for a computer.
What was his balance B after he made two deposits?
O $526.36
o S536.96
OS554.26
O S636.86
Answer:
the answer is 536.96
its asking for you to add the balance (389) with the 2 deposits (25.63, 122.33)
hope this helps
Pls helppp ASAP pls
Answer:
Four (4); 45; at least; 181.
Step-by-step explanation:
Ali has four friends that owe him x dollars each. His parents owe him $45 for doing chores last week. He recalls that people owed him at least $181.
To find how much money each of Ali's friends owe him;
Given the algebraic expression;
4x + 45 ≤ 181
4x ≤ 181 - 45
4x ≤ 36
Dividing both sides by 9, we have;
x ≤ 9
Therefore, Ali's friends owe him at least $9 each.
Answer:
Four (4); 45; at least; 181.
Step-by-step explanation:
Hope this helps
atomic structure escape room level 2 (HELP ASAP!!) what does each one lead to
Answer:
2c 1d 3b 4a is this for your schoooooools
A lab is testing the amount of a certain active chemical compound in a particular drug that has been recently developed. The manufacturer claims that the average amount of the chemical is 95 mg. It is known that the standard deviation in the amount of the chemical is 5 mg. A random sample of 25 batches of the new drug is tested and found to have a sample mean concentration of 89.9 mg of the active chemical.
Calculate the 95% confidence interval for the mean amount of the active chemical in the drug. Give your answers to 2 decimal places. (suppose to be number less than and equal to mean less than and equal to another number)
Answer:
The 95% confidence interval is "87.94, 91.86".
Step-by-step explanation:
The given values are:
Sample batches,
n = 25
Sample mean concentration,
[tex]\bar{x}[/tex] = 89.9 mg
Amount of chemical,
σ = 5
α = 0.05
The critical value from Z table will be:
= [tex]Z(\frac{\alpha}{2} )[/tex]
= [tex]Z(\frac{0.05}{2} )[/tex]
= [tex]1.96[/tex]
Now,
The confidence interval will be:
= [tex]\bar{x} \pm Z(\frac{\alpha}{2} )\times \frac{\sigma}{\sqrt{n} }[/tex]
On substituting the values, we get
= [tex]89.9 \pm Z(\frac{0.05}{2})\times \frac{5}{\sqrt{25}}[/tex]
= [tex]89.9 \pm Z(\frac{0.05}{2})\times \frac{5}{5}[/tex]
= [tex]89.9 \pm1.96\times 1[/tex]
Lower limit will be:
= [tex]89.9 -1.96\times 1[/tex]
= [tex]87.94[/tex]
Upper limit will be:
= [tex]89.9 +1.96\times 1[/tex]
= [tex]91.86[/tex]
PLS HELPP i need this
Answer:
[tex] \therefore x =2[/tex]
Step-by-step explanation:
[tex] \triangle TPR \sim \triangle SQR... (given) [/tex]
[tex] \therefore \frac{TP}{SQ} = \frac{PR}{QR}[/tex]
[tex] \therefore \frac{TP}{SQ} = \frac{PQ+QR}{QR}[/tex]
[tex] \therefore \frac{3}{x} = \frac{1\frac{1}{3} +2 \frac{2}{3}}{2 \frac{2}{3}}[/tex]
[tex] \therefore \frac{3}{x} = \frac{\frac{4}{3} + \frac{8}{3}}{\frac{8}{3}}[/tex]
[tex] \therefore \frac{3}{x} = \frac{\frac{12}{3}}{\frac{8}{3}}[/tex]
[tex] \therefore \frac{3}{x} = \frac{12}{8}[/tex]
[tex] \therefore x = \frac{8\times 3}{12}[/tex]
[tex] \therefore x = \frac{24}{12}[/tex]
[tex] \therefore x =2[/tex]
which of the following fractions is larger in these fractions 2/5, 1/3, 1/15
Answer:
2/5
Step-by-step explanation:
which rule descibes the pattern?
Answer:
-1/2
Step-by-step explanation:
I think not 100% sure tho
Answer:
“multiply by 2 and then subtract 1.
Step-by-step explanation:
zero has how many square roots? Why?
Answer:
Zero has one square root which is 0. Negative numbers don't have real square roots since a square is either positive or 0.
Step-by-step explanation:
Is (x-4) a factor of x^3 +x^2 -16x-16x 3 +x 2 −16x−16 ?
Answer:
For x – 4 to be a factor, you must have x = 4 as a zero. Using this information, I'll do the synthetic division with x = 4 as the test zero on the left:
Step-by-step explanation:
What are the three ordered pairs that should be in the table of values y=2x-3
Answer:
(-2, -7), (0, -3), (2, 1)
Step-by-step explanation:
Equation is given as y = 2x - 3.
To complete the table, plug in each value of x into y = 2x - 3 to get their corresponding y-value.
✔️When x = -2:
y = 2(-2) - 3
y = -4 - 3
y = -7
✔️When x = 0:
y = 2(0) - 3
y = -3
✔️When x = 2:
y = 2(2) - 3
y = 4 - 3
y = 1
Which of these is equivalent to 12x + 6 ? Select all.
A. 3(4x + 2)
B. 6(2x + 1)
C. 6x(2x + 1)
D. 2(6x + 3)
Answer:
A
Step-by-step explanation:
What are the coordinates of each point after quadrilateral ABCD is reflected across the y-axis and then translated 2 units down? Drag numbers 1
complete the coordinates Numbers may be used once, more than once, or not at all
Answer:
[tex]A" = (3,2)\ \ B" = (-1,1)\ \ C" =(-3,4)\ \ D =(-1,4)[/tex]
Step-by-step explanation:
Given [Missing]
[tex]A = (-3,4)[/tex]
[tex]B = (1,3)[/tex]
[tex]C =(3,6)[/tex]
[tex]D =(1,6)[/tex]
The first transformation: reflection across the y-axis.
The rule is: [tex](x,y)==>(-x,y)[/tex]
So:
[tex]A = (-3,4)[/tex] ==>[tex]A' = (3,4)[/tex]
[tex]B = (1,3)[/tex] ==> [tex]B' = (-1,3)[/tex]
[tex]C =(3,6)[/tex] ==> [tex]C' = (-3.6)[/tex]
[tex]D =(1,6)[/tex] ==> [tex]D' = (-1,6)[/tex]
Translation 2 units down
The rule is: [tex](x,y)==>(x,y-2)[/tex]
So:
[tex]A' = (3,4)[/tex] ==> [tex]A" =(3,4-2) =(3,2)[/tex]
[tex]B' = (-1,3)[/tex] ==> [tex]B" = (-1,3-2) = (-1,1)[/tex]
[tex]C' = (-3.6)[/tex] ==> [tex]C" = (-3,6-2) = (-3,4)[/tex]
[tex]D' = (-1,6)[/tex] ==> [tex]D" =(-1,6-2) = (-1,4)[/tex]
Hence:
[tex]A" = (3,2)\ \ B" = (-1,1)\ \ C" =(-3,4)\ \ D =(-1,4)[/tex]
Juan determines that a triangle has sides that measure 5 cm, 12 cm, and 13 cm. The same triangle also has one 90°° angle and two angles that are less than 90°°. Which best describes the triangle Juan is measuring?
isosceles right
scalene acute
scalene right
equilateral right
Answer:
scalene right
Step-by-step explanation:
A scalene right has no equal side lengths, has a right side(90) and will have two angles less than 90 because all three triangle sides need to equal to be 180. So scalene right is your answer. Hope that helped!
Is the value 2 a solution to the equation p+9=11 ?
IF YOU ANSWER THIS YOU GET 50 POINTS! <3
Answer:
P=2
Step-by-step explanation:
Milan has a total of 51 nickels and dimes worth $4.95. How many of each coin does she have?
Answer: 75 coins total, 51 nickels and 24 dimes.
Step-by-step explanation:
Find the product, explain it in words.
-5 x (-2/5)
Answer:
The answer will be 2
Step-by-step explanation:
The way you find the answer is by multiplying the numbers (simplifying)
Canceling both of the fives and adding the two negative signs together would leave you with the product of 2