Answers
-2f(x)= ( square root x+3)
4f^2(x)= x+3
f^-1(x)= 4x^2-3
Related Questions
Find the exact length of side a.
Answers
The exact length of a which is equivalent to BC is 7units
Cosine ruleA triangle is a shape with 3 sides and angles. In order to determine the sides BC, we will use the cosine rule
c² = a² + b² - 2abcosC
Given the following parameters
b = 2
c = 5√3
theta = 30 degrees
Substitute
c² = 2² + (5√3)² - 2abcos30
c² = 4 + 75 - 2(2)(5√3)*√3/2
c² = 79 - 30
c² = 49
c = 7 units
Hence the exact length of a which is equivalent to BC is 7units
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Ninety members of a gym were asked whether or not they use a treadmill when they exercise and whether or not they lift weights when they exercise.
The results of the poll are as follows:
14 members do not use a treadmill or lift weights
31 members use a treadmill but do not lift weights
28 members lift weights but do not use a treadmill
17 members use a treadmill and lift weights
Which two-way table represents the information found in the poll?
Answers
The answer is Y
Step-by-step explanation:
You have to compare the numbers with conditions both in Rows and Columns.
Find the measure of angle F if angle D = 88°
Answers
Answer:
52
Step-by-step explanation:
Two triangles are similar
m<B = m<E
m<C = m<D
m<A = m<F
now, the sum of interior angles in a triangle is equal to 180
angle B is given as 40 (so angle E is also 40) and angle D is given as 88 to find m<F:
40 + 88 + m<F = 180 add like terms
128 + m<F = 180 subtract 128 from both sides
m<F = 52
a water tap fills a tank within 4 hours, at the bottom of the tank
there is a hole for empty. the tank takes one hour to be empty. If the tap and the hole
are turning on together, the tank is fully filled. how long will the tank take to be completely
empty?
(70 min, 80 min, 90 min, 100 min)
Answers
Let V be the volume of the tank. The tap fills the tank at a rate of V/(4 hours), or V/4 per hour. The hole empties the tank at a rate of V per hour. If both the tap and hole work together, the net rate of water flow is V/4 - V or -3V/4 per hour.
Starting with a full tank, the volume v of water at time t is given by the function
v(t) = V + (-3V/4) t
Solve v(t) = 0 to find the time it takes to empty:
V - 3V/4 t = 0
V = 3V/4 t
t = V / (3V/4) = 4/3
So it takes 4/3 hours = 80 minutes to empty a full tank.
3.991 nearest one hundred answer
Answers
[tex]\huge\purple{hi!}[/tex]
3.991 nearest one hundred is 3.99
The answer wood be 3.99
Since 1 is closer to 0 you round down and it is 3.99
Please answer its iready press the image below.
30 points btw
Answers
Answer:
alternate exterior angles
Step-by-step explanation:
<3 i hope this helps! sorry if it doesnt :)
CORRECT ANSWER GETS BRAINLIST
Philani bough a scooter for R15 000. He paid 15% of the amount in cash and sgned a hire-purchase agreement to pay the balance in 24 equal monthly instalments. The interest rate is 10% per annum.
How much did he pay in cash?
Calculate the total amount that he must still pay.
Answers
chandra is constructing a weighted bookend for her shelf. it is a hollow rectangular prism, as shown, and she will fill it with sand to weigh it down
Answers
Since it is said to be a hollow rectangular prism, she will fill it with sand to weigh it about (573 + 9/2) cubic inches.
What is the prism about?
Note that the volume is said to be:
V = L x B x H
316 in = 6 √2 x 2 √3
The answer is 573 while the other part of the prison is 9√2 cubic inches.
Therefore, option A is correct.
See full question below
Chandra is constructing a weighted bookend for her shelf. It is a hollow rectangular prism, as shown, and she will fill it with sand to weigh it
down
6 √(2 in
316 in
2 √3 in
What is the volume of the bookend?
(Hint: The volume of a rectangular prism is the product of its length width and height.)
OA (573 + 9/2) cubic inches
B. 36/12 cubic inches
C 108 cubic inches
D. 216 cubic inches
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Pleaseeee!
I need help evaluating this:
Tan 2 theta-(1-tan^ 2 )=?
Answers
Answer:
[tex]\tan \left(2\theta\right)-1+\tan ^2\left(\theta\right)[/tex]
Key:
• [tex]-\left(a-b\right)=-a+b[/tex]
Step-by-step explanation:
[tex]\tan \left(2\theta\right)-\left(1-\tan ^2\left(\theta\right)\right)[/tex]
[tex]-\left(1-\tan ^2\left(\theta\right)\right)=-1+\tan ^2\left(\theta\right)[/tex]
[tex]=\tan \left(2\theta\right)-1+\tan ^2\left(\theta\right)[/tex]
Using the segment addition postulate, which is true?
Answers
The complete question is
"Using the segment addition postulate, which is true?
AB + BC = AD
AB + BC = CD
BC + CD = AD
BC + CD = BD"
Using the segment addition postulate, the true option is D; BC + CD = BD.
What is a line segment?A line segment is a straight line with finite length, and thus, have to endpoints(points on either ends).
We have been given the number line and four points A, B, C, and D on the line with coordinates -6, -1, 2, and 8 respectively.
(a) L.H.S. = AB + BC = 5 + 3 = 8,
R.H.S = AD = 14 ≠ 8.
So, this option is incorrect.
(b) L.H.S. = AB + BC = 5 + 3 = 8,
R.H.S = CD = 6 ≠ 8.
So, this option is incorrect.
(c) L.H.S. = BC + CD = 3 + 6 = 9,
R.H.S = AD = 14 ≠ 9.
So, this option is incorrect.
(d) L.H.S. = BC + CD = 3 + 6 = 9,
R.H.S = BD = 9.
So, this option is correct.
Hence, the correct option is (d).
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Solve: -1/2 + c = 31/4
(1/2 and 31/4 are fractions)
Answers
[tex]~~~-\dfrac 12 + c = \dfrac{31}4\\\\\\\implies c = \dfrac{31}{4}+\dfrac 12\\\\\\\implies c = \dfrac{31}{4}+ \dfrac 24\\\\\\\implies c = \dfrac{31+2}{4}\\\\\\\implies c = \dfrac{33}4[/tex]
Anyone know the answer?
James is using cement to make a new sidewalk and new steps.
He will make a new rectangular sidewalk that is 8 feet long, 4 feet wide, and 0.25 foot thick.
What is the volume, in cubic feet, of the cement used to make the sidewalk? Show or explain all of the steps you used to determine your answer.
Enter answer, including explanation, here
Answers
The volume, in cubic feet, of the cement used to make the sidewalk is 8 cu.ft.
What is a Cuboid ?A cuboid is a three dimensional figure with six rectangular faces .
The volume of the cuboid is given by
V = length * breadth * height
It is given in the question that
a new rectangular sidewalk that is 8 feet long, 4 feet wide, and 0.25 foot thick , this will be in the shape of a cuboid
The volume of cement required = 8 * 4 * 0.25
= 8 cu.ft
The volume, in cubic feet, of the cement used to make the sidewalk is 8 cu.ft.
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1
Use f(x) = ½ x and ƒ˜¹(x) = 2x to solve the problems.
f(2)=
f¹1)=[
f(f(2)) =
Answers
Answer:
f(2) = 1
(1) = 2
(f(2)) = 2
Step-by-step explanation:
f(x) = x
(x) = 2x
f(2) = (2)
f(2) = 1
(1) = 2(1)
(1) = 2
(f(2)) = 2((2))
(f(2)) = 2(1)
(f(2)) = 2
The function's solution is given as follows:
f(1) = 2
f(f(2)) = f(1) = f(1) = 1/2
What is a function?A function is a mathematical formula that illustrates the relationship between the dependent and independent variables.
The independent variable's value and the dependent variable's value both change in the function.
Mathematical expression is defined as the relationship between numerical variables and mathematical operations such as addition, subtraction, multiplication, and division.
For the given function [tex]f(x) = \dfrac{1}{2}x[/tex],
[tex]f(2) =\dfrac{1}{2} (2) = 1[/tex]
For the given function [tex]f^{-1}(x) = 2x[/tex],
[tex]f'(1) = 2(1) = 2[/tex]
Therefore, the solution for the function is [tex]f^{1}(1) = f^{-1}(1) = 2[/tex]
The composition of functions to find f(f(2)):
[tex]f(f(2)) = f(1) = \dfrac{1}{2} (1) = \dfrac{1}{2}[/tex]
Therefore, the solution for the function [tex]f(f(2)) = \dfrac{1}{2}[/tex].
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answer please image is below 35 points btw
Answers
help me on this question. If l || m, m7 = 2x and m2 = x, then what is the measure of angle 2?
Answers
Answer:
i dont know bc its not the complete expression
Step-by-step explanation:
HELP ME PLEASE!!!
.................................................
Answers
Answer:
Step-by-step explanation:
Explanation: find the hypotenuse of the 1st triangle a^2 + b^2 = c^2 -> 9*9 + 5*5 = c^2
Which is 81+25 = c^2 -> 106 = c^2 now square root c = 10.3
Now you have the hypotenuse of the triangle on the left notice that the hypotenuse we just solved for is actually a leg for the triangle on the right. Now you can use the hypotenuse formula for x.
10.3^2 + 4^2 = x^2 -> 106.09 + 16 = x^2
Next, 122.09 = x^2 now we need to square root to isolate the square (2). x = 11.04 when rounded the closest radical is you answer x=11
On a test that has a normal distribution, a score of 30 falls three standard deviations below the mean, and a score of 60 falls three standard deviations above the mean. Determine the mean of this test.
Answers
Answer:
45Step-by-step explanation:
Let μ - mean, σ - standard deviation.
Given:A score of 30 falls three standard deviations below the mean:
μ - 3σ = 30A score of 60 falls three standard deviations above the mean:
μ + 3σ = 60Add up the two expressions and find the value of μ:
μ - 3σ + μ + 3σ = 30 + 602μ = 90μ = 45The mean is 45
Patty had four times as many quarters as nickels. She had $12.60 in all. How many nickels and
she have?
Answers
Answer:
Hi,
Step-by-step explanation:
Let say n the number of nickels
4*n the number of quaters.
Let's calculate in cents:
n*5+4*n*25=1260
5n+100n=1260
105*n=1260
n=12 (number of nickels)
4n=48 (number of quaters)
Proof: 12*5+48*25=1260
Answer is equation B
Are the equations 6x-6=3x and x-1=3x equivalent?
Answers
Answer:
No, they aren't the same (equivalent).
Step-by-step explanation:
First, solve for both equations:
Equation #1: 6x-6=3x
Simplifying
6x + -6 = 3x
Reorder the terms:
-6 + 6x = 3x
Solving
-6 + 6x = 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation.
-6 + 6x + -3x = 3x + -3x
Combine like terms: 6x + -3x = 3x
-6 + 3x = 3x + -3x
Combine like terms: 3x + -3x = 0
-6 + 3x = 0
Add '6' to each side of the equation.
-6 + 6 + 3x = 0 + 6
Combine like terms: -6 + 6 = 0
0 + 3x = 0 + 6
3x = 0 + 6
Combine like terms: 0 + 6 = 6
3x = 6
Divide each side by '3'.
x = 2
Simplifying
x = 2Equation #2: x-1=3x
Simplifying
x + -1 = 3x
Reorder the terms:
-1 + x = 3x
Solving
-1 + x = 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation.
-1 + x + -3x = 3x + -3x
Combine like terms: x + -3x = -2x
-1 + -2x = 3x + -3x
Combine like terms: 3x + -3x = 0
-1 + -2x = 0
Add '1' to each side of the equation.
-1 + 1 + -2x = 0 + 1
Combine like terms: -1 + 1 = 0
0 + -2x = 0 + 1
-2x = 0 + 1
Combine like terms: 0 + 1 = 1
-2x = 1
Divide each side by '-2'.
x = -0.5
Simplifying
x = -0.5i need the answer quickly
Answers
Answer:
scatter plot 3
Step-by-step explanation:
No correlation exists when there is no relationship between two variables. For example there is no relationship between the x-axis to the y-axis while the other plots has noticeable linear correlation.
what is an equation for the circle with center 92,40 and radius 7
Answers
Answer:
17 i think im like 30 pecent sure
14 + w is the same as which expression?
A
14w
B
14 - w
C
w + 14
D
w - 14
Answers
Answer:
C
Step-by-step explanation:
14 + w is the same as w + 14
Answer:
C. w + 14.
Step-by-step explanation:
The order does not matter when you are adding terms.
this is called the Commutative Property of Addition.
Which polynomial is equal to the sum of polynomials 1 and 2?
Polynomials 1 and 2 are represented below with tiles.
Polynomial 1
X²X²
X²
Polynomial 2
A. 2x²+2x+1
OB. 5x² + 4x+6
OC. 7x² +6x+7
OD. 7x² +6x+5
SUBMIT
Answers
Polynomial are mathematical expressions involving variables raised with non-negative integers and coefficients. The correct option is C.
What is a polynomial?Polynomial are mathematical expressions involving variables raised with non-negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non-negative exponentiation of variables involved.
Example:
x² + 3x + 5
As per the given tile diagram, the first polynomial is,
First polynomial = 5x² + 4x + 6
The second polynomial equal is,
Second polynomial = 2x² + 2x + 1
Now, the sum of the two polynomial can be written as,
Sum = 5x² + 4x + 6 + 2x² + 2x + 1
= 7x² + 6x + 7
Hence, the correct option is C.
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The regular price of a tennis racquet is $79.99 and the sale price is $64.99. Find the percent of discount to the nearest whole percent.
Answers
Step-by-step explanation:
$79.99 - $64.99 = $15
(79.99 - 64.99)/|79.99| =15
15/79.99 =
15 ÷ 79.99 =
15 ÷ 79.99 × 100/100 =
(15 × 100 ÷ 79.99)/100 =
(1,500 ÷ 79.99)/100
≈18.752344043005/100 =
18.752344043005% ≈18.75%;
need rn. worth 30.
A librarian wants to have an employee reading contest. She asks her employees to volunteer to read as many books as possible in one week.
Which sentences explain how randomization is not applied in this situation?
Answers
Considering the situation described, the confidence interval is given by:
(0.35, 0.51).
What is a confidence interval?It is given by the estimate plus/minus the margin of error.
For this problem, we have that:
The estimate is of 0.43.The margin of error is half the range of the observations, hence M = (0.48 - 0.32)/2 = 0.08.Then, the bounds of the interval are given by:
0.43 - 0.08 = 0.35.0.43 + 0.08 = 0.51.More can be learned about confidence intervals at https://brainly.com/question/25890103
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The mean of a set of 10 number is 56,
If the mean of the first nine is 55 find the 10th number
Answers
Answer:
65
Step-by-step explanation:
10*56=5609*55=495560-495=65=65Write an equation in slope intercept form of the line that passes through the point (0,4) with slope 2
Answers
Answer:
y=2x+4
Step-by-step explanation:
From(0,4)
y intercept=b=4Equation in slope intercept form
y=mx+by=2x+4please help... Identify the shape of a cross section of the cone below.
Answers
Answer:
The vertical cross-section of a cone is a triangle, and the horizontal cross-section is a circle.
Step-by-step explanation:
I need help please question is in the image
Answers
The figure below shows a line graph and two shaded triangles that are similar:
Which statement about the slope of the line is true? (1 point)
It is fraction negative 1 over 3 throughout the line.
It is −3 throughout the line.
The slope from point O to point A is one-third times the slope of the line from point A to point B.
The slope from point O to point A is three times the slope of the line from point A to point B.
Answers
Answer: A
Step-by-step explanation: took the test, got it right.