Answer:
1. f(N) = C ,where C = N - 7
2. The input of the function is x = N
3. The output of the function = y = C = N -7
4. F(C) = N where N = C - 7
5. Input of the inverse function = C
6. Output of the inverse function = N = C - 7
Step-by-step explanation:
Let Noah's cousin age = C
and Noah's age = N
As given ,Noah's cousin is exactly 7 years younger than Noah.
⇒ C = N - 7
a.)
As we know that , A function is a maping of x to y such that f(x) = y
Let x = N , y = C
So, f( x) = y
⇒f(N) = C ,where C = N - 7
b.)
The input of the function is x = N
c.)
The output of the function = y = C = N -7
d.)
A inverse function is a mapping of y to x
i.e change the variable ,
As we have C = N - 7
It becomes
N = C - 7
So the inverse function becomes
F(C) = N where N = C - 7
e.)
Input of the inverse function = C
f.)
Output of the inverse function = N = C - 7
In the expression 1 + 3 – 6 x (45 ÷ 9), which should be done first?
help help meeee!!!!!
Answer:
The correct answer will be $725
Answer:I believe it is $725
Step-by-step explanation: 12.50(1+0.16)
= 14.5 then 14.5 times 50 = 725
Given the system of equations. What is the X-value in the solution?
8x+ 3y = 7
4x+ 3y = 5
Answer
Answer:
x= 1/2
Step-by-step explanation: 8x+3y=7
-(4x+3y=5)
4x=2, and you get x=1/2
h(t) = -2t²+15t +8
t=30
Answer:
-1342
Step-by-step explanation:
Simplify
Plsss hurry
Answer:
imma say the third one
Step-by-step explanation:
sorry if wrong
help me please!!!!!!!:(
Answer:
4.15
Step-by-step explanation:
There is a rope hanging from the top of a pole with 3 feet of it lying on the ground. When it is tightly stretched, so that the end just touches the ground, it reaches a point 8 feet from the base of the pole. How long is the rope
Answer:
length of rope [tex](P+3) =12.167[/tex]
Step-by-step explanation:
From the question we are told that
Length of rope on Ground [tex]L_1=3 feet[/tex]
Length of rope from pole base when stretched [tex]L_2=8feet[/tex]
Given length of pole as P
length of the rope is therefore given by
[tex]P+3[/tex]
Generally the Pythagoras theorem is mathematically given by
[tex]P^2+8^2=(P+3)^2[/tex]
[tex]P^2+64=P^2+9[/tex]
[tex]P=9.167[/tex]
Therefore
length of rope [tex]P=9.167[/tex]
length of rope [tex](P+3) =9.167+3[/tex]
length of rope [tex](P+3) =12.167[/tex]
the measures of the three angles of a triangle is 180
in a triangle, the measures of the three angles are x, x + 18, and x - 6. what is the measure of each angle
Answer:
X + X +18 + X-6 = 180
3x + 12 = 180
3x = 168
x= 56
x + 18 = 74
x - 6 =50
Step-by-step explanation:
Answer:
56°, 74°, 50°
Step-by-step explanation:
x + x + 18 + x - 6 = 180
3x + 12 = 180
3x = 168
x = 56
56 + 18 = 74
56 - 6 = 50
A comic book is marked down 25% off of the original price. The original price was $40. what is the final price after the mark down?
Answer:
$30
Step-by-step explanation:
25% of 40 = 10
40-10 = 30
In a particular library, 18% of the books are children's books, 53% of the books are adult fictions, and the rest are adult non-fiction
You choose one book at random. What is the probability that it is an adult non-fiction book ?
Answer:
29%
Step-by-step explanation:
You add the 18 and 53 then subtract by 100 to receive your answer
Answer:
29%
Step-by-step explanation:
You add the percentages of the other categories (18 - children, 53 - adult fiction) then subtract from 100.
ZRDY and _NDA are:
R
Y
N
L
A
can you pls answer with an explanation
A data set has 100 data points. Enter values to answer each of the questions below.
CLEARCHECK
How many data points are above the median?
How many data points are below the 1st quartile?
How many data points are between the 1st and the 3rd quartiles, or in the interquartile range (IQR)?
Answer:
d01n6y09r4551gnm3nt5ch3ck
Step-by-step explanation:
How would you write twenty-one thousand six hundred fifty-six in standard form?
27,656
21566
21,665
2165
Answer:
21,656 is the correct answer.
in my opinion none of the option is correct-_-
3(t-2)
Expand equation
Answer:
[tex]3(t - 3) \\ 3t - 9[/tex]
this is your answer
Because you want to prepare and serve the healthiest food possible you monitor the fat and calorie continent of items on your menu some of the menu items are included in the graph below. Is the trend line linear if so write a linear equation that represents the trend line
If there's a graph, maybe I could help...?
a⋅a⋅c⋅c =
Evaluate the expression when a=3.
6+a =
Answer:
Translate this phrase into an algebraic expression. 78 less than Amaris test score. Use C to represent Amari's test score PLEASE HURRY!!
Answer:
it's 78<C. < means less than
Consider the system of equations.
x-3y = 9
1/5 x - 2y = -1
Which number can be multiplied by the second equation to eliminate the x-variable when the equations are added
together?
Given:
The system of equations:
[tex]x-3y=9[/tex]
[tex]\dfrac{1}{5}x-2y=-1[/tex]
To find:
The number that can be multiplied by the second equation to eliminate the x-variable when the equations are added together.
Solution:
We have,
[tex]x-3y=9[/tex] ...(i)
[tex]\dfrac{1}{5}x-2y=-1[/tex] ...(ii)
The coefficient of x in (i) and (ii) are 1 and [tex]\dfrac{1}{5}[/tex] respectively.
To eliminate the variable x by adding the equations, we need the coefficients of x as the additive inverse of each other, i.e, a and -a So, a+(-a)=0.
It means, we have to convert [tex]\dfrac{1}{5}[/tex] into -1. It is possible if we multiply the equation (ii) by -5.
On multiplying equation (ii) by -5, we get
[tex]-x+10y=5[/tex] ...(iii)
On adding (i) and (iii), we get
[tex]7y=14[/tex]
Here, x is eliminated.
Therefore, the number -5 can be multiplied by the second equation to eliminate the x-variable.
Please round to the nearest 100th place
Answer:
its 14.3, you first have to multiply each side and just work down
The next number in the arithmetic sequence 10, 23, 36, __is:
49.
46.
43.
50.
Answer:
49
Step-by-step explanation:
Answer:
49
Step-by-step explanation:
From the sequence it is obvious that the next number was simply the addition of 13, so by adding 13 to 36 we get 49
In the figure below, angle X is 35 degrees. What is the measure of angle Z?
Answer:
Z = 45 degrees
Step-by-step explanation:
the angle is still an acute angle but it is not a right angle so it must be 45 according to my calculations. plz mark brainliest
Can someone help me on this?
Answer:A
Step-by-step explanation: Its the first one because it has to first start with a fraction and 2/11 is smallest and it keeps on getting higher.
Hope this helps :)
Answer:
A
Step-by-step explanation:
hope this helps lol...
Write the log equation as an exponential equation. You do not need to solve for x.
log (x^2– 5x + 14) = 2x + 4
9514 1404 393
Answer:
x^2 -5x +14 = 10^(2x +4)
Step-by-step explanation:
The relationship is ...
log(a) = b ⇔ a = 10^b
__
Using this with a=x^2-5x+14 and b=2x+4, we have ...
x^2 -5x +14 = 10^(2x +4)
_____
Additional comments
In plain text, the exponent needs parentheses, because superscript formatting is not available to tell what is and isn't part of the exponent.
The base of "log" is assumed to be 10 in high school algebra. In the larger world, "log" is often used in place of "ln" to mean the logarithm to base 'e'.
__
The one solution is approximately x = −1.32505947996.
mhm you already know.
Answer:
Concave pentagon that is also irregular.
Step-by-step explanation:
Answer:
ehhhh, confusion my guy, confusion!
Step-by-step explanation:
nope, i don't know
Lol
Brainliest though!?
3. The value of a painting rises from £120,000 to £192,000. Work out the percentage increase in the value of the painting. *
Answer:
The value of a painting rises from £120,000 to £192,000. Work out the percentage increase in the value of the painting. 72000.
What is the area of a rectangle with side lengths of 5 12 foot and 2 3 foot
Answer:
3 2/3ft²
Step-by-step explanation:
Area of a rectangle = Length × Width
Given
Length = 5 1/2 foot
Width = 2/3foot
Substitute
Area of the rectangle = 5 1/2 × 2/3
Area of the rectangle = 11/2×2/3
Area of the rectangle = 22/6
Area of the rectangle = 11/3
Area of the rectangle = 3 2/3ft²
Please help solve this
Answer:
It's no. C
Step-by-step explanation:
40 pointssssss!!!!!!!
Answer: A.
Step-by-step explanation: It's 20 pionts bro.
1. Are you for or against the legal driving age 16? And would you want to change it?
2. Are you for or against the legal drinking age of 21? And would you want to change it?
3. Do you agree or disagree with the second amendment for everyone to bear arms or for everyone to have the right to have access to guns?
Answer:I’m definitely for the 1first one the second one no the 3rd one I’m for everyone to have
the right to have access to guns
Step-by-step explanation:
Answer:
1.I would say i am against the legal driving age because some students can’t always get a ride from people so then they have to walk and most of the time they can be late. And yes I would want to change it. I am for the legal drinking age because more People could drink and drive and cause things to happen. And no I wouldn’t want to change it. for number three idea what to put.
Step-by-step explanation:
1) Complete the sentences to explain how to multiply 4.56 x 1,000.
Y
1) Click the arrows to choose an answer from each menu.
The number 1,000 has Choose... factors of 10. To multiply 4.56 x 1,000, the
decimal point in 4.56 should be moved Choose... places to the right.
4.56 x 1,000 is equal to Choose...
Done
Answer:
The decimal point should be moved 3 units to the right, and the result of the multiplication is 4560.
Step-by-step explanation:
Multiplication of a decimal by the nth power of 10:
In this case, the decimal point should be moved n units to the right.
Division of a decimal by the nth power of 10:
In this case, the decimal point should be moved n units to the left.
In this question:
We multiply the decimal 4.56 by 1000.
1000 is the 3rd power of 10, because [tex]10^3 = 1000[/tex]. So the decimal point should be moved 3 units to the right, and the result of the multiplication is 4560.