Answer:
If the function is
A(n) = 4n -25
and we wish to get the inverse function N(a)
We let
A(n) = a
n = N(a)
Plugging in the values
a = 4 N(a) - 25
Arranging the equation:
4 N(a) = a + 25
N(a) = (a + 25) /4
The answer is
N(a) = (a + 25) /4
Step-by-step explanation:
The inverse function of a(n) = 3n - 15 is n(a) = 5 + a/3.
What is an inverse function?An inverse function exists a function that undoes the action of another function. A function g exists as the inverse of a function f if whenever
y = f(x) then x = g(y).
We have:
a(n) = 3n - 15
Rewrite the above equation as
a = 3n - 15
Add 15 to both sides of the equation
3n = 15 + a
Divide through by 3, we get
n = 5 + a/3
Express as function then, we get
n(a) = 5 + a/3
Hence, the inverse function is n(a) = 5 + a/3.
To learn more about inverse function
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Solve the system of equations.
- 4x + 1ly = 15
x = 2y
Pls someone I need help
Answer:
B. Dan walked uphill, then downhill.
Step-by-step explanation:
The place that the slope went up is based on the distance from the starting point, so the distance is up then down. I hope this helped and please mark me as brainliest!
Find the domain and range
Answer:
Domain: x = all reals
Range: y is less than or equal to -4
What is the volume of a rectangular prism that measures 45units long, 25 units wide, and 35 units high?
Answer:
39375
Step-by-step explanation:
All you have to do is just multiply the length x width x height.
Answer:
Find a rectangular prism in your house exactly the same as this one,them you'll know the answer
What is the length of the hypotenuse
Answer:
20
Step-by-step explanation:
To find Hypotenuse: Pythagorean Theroem
a^2+ b^2= c^2
The legs are A and B
The side that is directly across from the Right angle is C
12^2 + 16^2 =C^2
144+256=400
400 = c^2
Square root on both sides to get rid of c^2
The square root of 400 is 20
c=20
Answer:
20 feet
Step-by-step explanation:
c = (a² + b²)
c= (12^2 + 16^2)
c= square root (400)
c= 20
I need help finding the length of GH.
Answer:
length of arc=2r+teete ×2πr
360
2×13+155°×2×22×13
360. 7
26+155°×572
360. 7
26+88660
2520
88686
2520
35.404
how to i find b in y=my+b if the slope is undefined?
Answer:
By finding the y- intercept in the graph.
Step-by-step explanation:
This is the only point in the graph that is on the y axis.
EF
is parallel to the bases of the trapezoid ABCD and bisects the area. Find the length of
EF
, if AD = 48 cm and BC = 14 cm.
Answer:
Step-by-step explanation:
48 + 14 / 2 = 31
PLEASEEEEE ANSWERRRRRRR!!!!!!!!!!!!
What is the area of figure?
A trapezoid with short base eighteen centimeters, long base thirty-eight centimeters, height sixteen centimeters, and diagonal side lengths twenty centimeters.
A. 320 square centimeters
B. 608 square centimeters
C. 448 square centimeters
D. 560 square centimeters
Answer:
C. 448 square centimeters
Step-by-step explanation:
38+18/2(16)
=448 square centimeters
:3
PLEASE HELP ASAP worth alot
Answer:
I believe it is C
Step-by-step explanation:
Hope this helps
and if it at all possible and you mark me brainlyest please
Answer:
5 pts isnt a lot but ok.. and yes it is c
Step-by-step explanation:
In the expression 16x + 2x – 5y + 17, which terms are “like terms”?
Also i didn't mean to say exam on last question, turns out it was a quiz, my bad it just has alot of questions over 4, it has 6.
Answer:
16x and 2x have like terms
how many faces does this pyramid have?
ASAP WILL MARK BRAINLIEST!!!
Answer:
I believe it is 5
Step-by-step explanation:
by counting all sides
Answer:
5
Step-by-step explanation:
hi annalise!
I need help answering
Help Me! I'm not good at this! I will mark brainliest!
Answer:
1.61 * 10 ^8
3.3 * 10^-7
Step-by-step explanation:
Multiply the numbers and then add the exponents
2.3 * 10^1 * 7 * 10^6
2.3 *7 * 10^(1+6)
16.1 * 10^7
We need to make this scientific notation by moving the decimal one place to the left and adding 1 to the exponent
1.61 * 10 ^8
Multiply the numbers and then add the exponents
1.1* 10^-5 3*10^-2
1.1 *3 * 10^(-5+-2)
3.3 * 10^-7
Answer:
1. B
2. C
Step-by-step explanation:
1. 2.3 × 10¹ × 7 × 10⁶
2.3 × 7 × 10^(1+6)
16.1 × 10⁷
1.61 × 10⁸
2. 1.1 × 10^-5 × 3 × 10^-2
1.1 × 3 × 10^(-5-2)
3.3 × 10^-7
13. A circle with radius x is shown below. The diagram is not drawn to scale. (1 point)
What is the value of x? Round the answer to the nearest tenth.
Answer: 16.1
Step-by-step explanation:
x^2 = 8^2 + (28/2)^2
x^2=64 + 196
x^2= 260
Take the square root of 260 and get 16.1!
The value of x is x=16.1
Chord
The perpendicular from the center of a circle bisects the chord
RadiusA line from the center of the circle to the circumference of the circle is the radius of the circle
Lets connect the center of the circle to the other end of the chord that is at the circumference of circle
The diagram attached below
The line OA from the center bisects the chord
AB= half of 28 = 14
the triangle AOB forms a right angle triangle
apply Pythagorean theorem to find out the value of x
[tex]x^2=8^2+14^2\\x^2= 64+196\\x^2=260\\\sqrt{x^2}=\sqrt{260} \\ x=16.1[/tex]
The value of x is 16.1
Learn more information about 'perpendicular line ' here
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José represents the linear function f(x) = 5x – 7 with words.
Multiply each element in the domain by negative 7 and add 5.
Correct his error.
Answer:
-2
Step-by-step explanation:
The correct statement that Jose is supposed to have written is that multiply each element in the domain by 5 and subtract 7
Given the linear function written by Jose expressed as f(x) = 5x - 7
Note that the expression is in form of a linear equation y = mx + b where:
x is the input value known as the domain
We are to write the function f(x) = 5x - 7 in words.
Let the domain variable be x
5x means that we are to multiply each element in the domain 5
For 5x - 7, we are to multiply each element in the domain by 5 and subtract 7.
The correct statement that Jose is supposed to have written is that multiply each element in the domain by 5 and subtract 7
Learn more here: https://brainly.com/question/20911160
Find an explicit formula for the geometric sequence 3, 15, 75, 375...
Answer:
3 * 5 ^ (n-1)
Step-by-step explanation:
3 is the first term and it multiplies by 5
The explicit formula for the geometric sequence is [tex]T_n = 3(5)^{n-1}[/tex]
The standard explicit formula for a geometric sequence is expressed as:
[tex]T_n = ar^{n-1}\\[/tex]
a is the first term
r is the common ratio
n is the number of terms
Given the sequence of numbers 3, 15, 75, 375...
r = 15/3 = 75/15 = 5
a = 3
Substitute the given parameters into the formula to have:
[tex]T_n = ar^{n-1}\\T_n=3(5)^{n-1}[/tex]
Hence the explicit formula for the geometric sequence is [tex]T_n = 3(5)^{n-1}[/tex]
Learn more here: https://brainly.com/question/20548958
PLEASE HELP!! (will give brainliest for best answer)
Jillian said StartRoot 25 EndRoot is irrational because it is a square root. Why is she incorrect?
A) Jillian is incorrect because the square root of StartRoot 25 EndRoot = 5.5.
B) Jillian is incorrect because a square root is always rational.
C) Jillian is incorrect because square roots of perfect squares are rational.
D) Jillian is incorrect because the decimal expansion of StartRoot 25 EndRoot is a repeating decimal.
Answer:
C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
The square root would be 5
14 adults and 20 children attended a piano recital. If two people are selected to receive door prizes at the recital, what is the probability that both will be children? Write your answer as a fraction and a decimal rounded to the nearest hundredth.
Answer: 0.34
Step-by-step explanation:
From the question, 14 adults and 20 children attended a piano recital. This means that there are 14 + 20 = 34 people who attended the paint recital.
If two people are selected to receive door prizes at the recital, the probability of selecting the first child will be 20/34 while the second child will be 19/33. To get the probability of both being children, we have to multiply the fractions
= 20/34 × 19/33
= 380/1122
= 0.34
What is the sum of 1-2 and V-18?
Answer:
v-19
Step-by-step explanation:
Answer:
It depends on what you mean.
Step-by-step explanation:
If its to separate questions,
1-2= 1
V-18= -13
If its one whole question then
1-2 - V-18= 14
1-2 / V-18= -0.07692307692
1-2 * V-18= -13
1-2 + V-18= -12
Hope this helps! :D
37.5(3.8-x)+90x=300 please help me
Answer:
I’m just copying his answer which is 3
Step-by-step explanation:
at least I tried
Answer: 3
Step-by-step explanation:
37.5 (3.8-x) + 90x = 300
First, you have to simplify, by using the Distributive Property.
142.5 - 37.5x + 90x = 300
Now, add the like terms
142.5+ 52.5x = 300
Now, isolate the variable, meaning the variable has to be on one side on its own. You would have to subtract 142.5 and move it to the other side
52.5x = 300 - 142.5
52.5x = 157.5
Then, you divide!
[tex]\frac{52.5x}{52.5x}[/tex] = [tex]\frac{157.5}{52.5x}[/tex]
= 3
Find the slope of the line that passes through (10, 8) and (1, 16).
Simplify your answer and write it as a proper fraction, improper fraction, or integer
Answer:
-8/9 is the answer
Math question down below
Answer:
314.961
Step-by-step explanation:
i need help with this !!!!!!
Answer:
Step-by-step explanation:
Use the cosine ratio, adjacent over hypotenuse. Plug in the values
cos70=x/25.5
Isolate x. Multiply both sides by 25.5
x=25.5*cos70
Enter the equation into a calculator
HELP PLEASEEEE FAST
128
164
140
Answer: 140 m3
Step-by-step explanation:
Multiply the area of the trapezoid face by the length .
Since the area is 20, you multiply it by 7 to get 140
Answer:
140 m^3
Step-by-step explanation:
This is a prism with a trapezoid base.
The volume if a prism is
V = (area of base) * height
The base is the trapezoid in the front face. The height is the distance between bases which is 7 m.
area of trapezoid = (b1 + b2)h/2
In the area of the trapezoid, h is the height of the trapezoid which is the distance between parallel bases. It is 4 m in this case.
V = (area of base) * (height of trapezoid)
V = (8 m + 2 m)(4 m)/2 * 7 m
V = 20 m^2 * 7 m^2
V = 140 m^3
Maria bought an SUV for 21,000 dollars. Nancy bought a sedan for 2/3 as much. How much less did Nancy spend on her sedan?
Answer:
7000
Step-by-step explanation:
21,000*(2/3)=14000
21,000-14,000=7000
Answer:
7,000 dollars
Step-by-step explanation:
21,000 divided by 3 is 7,000 = 1/3
So 2/3 = 7,000 x 2 = 14,000
To find how much less Nancy spent on her sedan you do 21,000 - 14,000 = 7,000
What is the true solution to 2 In x=2 in 8
Answer:
x=2 is the true solution.
Step-by-step explanation:
We have been given the expression:
2\ln 4x=2\ln 8
Using:
n\ln m=\ln m^n
Our given expression becomes:
\ln{4x}^2=\ln{8^2}
Cancel ln from both sides we get:
4x^2=8^2
On simplification we get:
16x^2=64
x^2=4
Final simplification gives the result:
x=2
Answer:
x = 8
Step-by-step explanation:
2 In x=2 ln 8
Divide by 2
ln x = ln 8
Raise to the e base
e^ ln x = e^ ln 8
x = 8
Simplify x^2-4x+4/x^2-4
Answer:
x2 - 4x - 4
———————————
x - 2
Step-by-step explanation:
A basketball court is in the shape of a rectangle. It has a length of (x - 7) meters and a width of (x + 3) meters:
(x-7)(x + 3)
Which of the following simplified expressions represents the area of the basketball court in square meters?
-6x + 3
ox2 - 21
ox2 - 4x - 21
ox² - 7x + 3
Answer:
x2 - 4x - 21
Step-by-step explanation:
Area = (x -7 )(x +3)
= x*x - 7*x + x*3 - 7*3
=x2 - 4x - 21
The distance from home to school is 7/8 of a mile for Amy and 2/4 of a mile for Tom. How much farther does Amy walk than Tom?
The answer is 3/8
because 2/4 × 2 = 4/8
7/8 - 4/8 = 3/8
Answer:
3/8 of a mile more
Step-by-step explanation:
2/4=4/8
7/8-4/8=3/8