Answers
Step-by-step explanation:
a refuse regular function tries to calculate a y value for a given x (input) value.
the inverse function turns this around and tries to calculate the x (input) value for a given y functional value.
e.g. when we know f(x) = 8, then what was the x value leading to this 8 fungible value ?
in order to turn this around, we solve the same functional equation for x instead of for y.
in our example here
f(x) = y = 3x -6
y + 6 = 3x
x = y/3 + 2
and now, to write the inverse function as normal function, we simply exchange the x and y names :
y = x/3 + 2
Related Questions
what is -8m + 3x - 2m + 7x and please explain why.
Answers
Answer:-10m+10x
Step-by-step explanation: add -8m plus -2m which gives you -10m and then add 3x plus 7x which gives you 10x so the final answer is -10m+10x.
Simplify the algebraic expression
(10x2 + 11y) - (3x2 + y)
Answers
[tex]\large \mathfrak{Solution : }[/tex]
On simplification we get :
[tex]10 {x}^{2} + 11y - 3 {x}^{2} - y[/tex][tex]7 {x}^{2} + 10y[/tex]Please answer!!! 25 points! I give brainliest!!!!!!!!!
Answers
Answer:
2x3xX you solve this with 1 linear 2 nonlinear 3 nonlinear 4linear 5linear 6 nonlinear
Step-by-step explanation:
What is the slope and y- intercept
Answers
Answer:
4x,5y
Step-by-step explanation:
you look at it
Let A be the set of whole numbers bigger than 3 and smaller than 10 and B the set of positive whole numbers smaller than
8. Which of the following sets is equal to A U B?
Answers
Answer:
A union B is 4,5,6,7!!!!!!!!........
The animal rescue has 3 cats for
every 8 dogs. If there are 20 more
dogs than cats, how many dogs are
there?
dogs
Answers
Answer:
32
Step-by-step explanation:
8-3=5
20÷5=4 sets
Hence, no. of dogs=4×8
=32
Let cats be x
Dogs be x+20ATQ
[tex]\\ \sf\longmapsto \dfrac{x}{x+20}=\dfrac{3}{8}[/tex]
[tex]\\ \sf\longmapsto 8x=3(x+20)[/tex]
[tex]\\ \sf\longmapsto 8x=3x+60[/tex]
[tex]\\ \sf\longmapsto 8x-3x=60[/tex]
[tex]\\ \sf\longmapsto 5x=60[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{60}{5}[/tex]
[tex]\\ \sf\longmapsto x=12[/tex]
[tex]\\ \sf\longmapsto x+20=12+20=32[/tex]
8.64 ÷ 2.25 = ______
Answers
Answer: 3.84
Step-by-step explanation:
cause it is use calculator
Answer:
8.64 ÷ 2.25=3.84
Your answer: 3.84
Step-by-step explanation:
Write the given phrase as an algebraic expression. Use the variable x to represent each unknown number.
A number divided by eleven.
The answer is
(Answer quickly)
Answers
Answer:
x/11
Step-by-step explanation:
The prompt states to use x for each unknown number and then the question says A number divided by eleven so x divided by 11 = x/11
what expression is equivalent to (5^4) 2
25^8
5^8
20^2
5^6
Answers
Answer:
5 x 8
Step-by-step explanation:
Answer:
[tex]5^{8}[/tex]
Step-by-step explanation:
Using the rule of exponents
[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex] , then
[tex](5^4)^{2}[/tex] = [tex]5^{4(2)}[/tex] = [tex]5^{8}[/tex]
WILL GIVE BRAINLEST
Show Step-ByStep pls..
Answers
Find the smallest value of p such that 525 X p is a perfect square.
Answers
Answer:
p = 21
Step-by-step explanation:
525 × 21 = 11,025
√11,025 = 105
Solve for F. m/F = 1/a
Answers
Answer:
F = ma
Step-by-step explanation:
Given
[tex]\frac{m}{F}[/tex] = [tex]\frac{1}{a}[/tex] ( cross- multiply )
F = ma
WILL GIVE BRAINLEST
PLS GIVE Step-By-Step..
Answers
Answer:
1,3
2,4
5,7
6,8
Step-by-step explanation:
congruent angles are angles across from each other and they equal the same
I need help! Really bad a math.
Answers
Answer:
-72
Step-by-step explanation:
Substitute -4 in the equation
h(-4) = -20 + 13(-4)
h(-4) = -20 + -52
h(-4) = -72
-72 is the final answer
Answer:
Step-by-step explanation:
You are giving away a lot of points. Usually 20 will attract our attention. I mean you put up 20 and we get 10. It's enough.
h(t) = - 20 + 13t
First of all you need to understand that h(t) is a y value. The t is the x value.So when you see something in h(t)s value that isn't t, that's what you put in the value for t on the right side. That's the key to the problem.In this case t is going to be - 4
h(-4) = -20 + 13(-4)
h(-4) = -20 - 52
h(=4) = -72
Solve the equation for j
jr+se=jb+f
Answers
Hello there!
We are given the equation:
[tex] \displaystyle \large{jr + se = jb + f}[/tex]
We are going to isolate j. First, subtract both sides by jb.
[tex] \displaystyle \large{jr + se - jb = jb - jb+ f} \\ \displaystyle \large{jr + se - jb = f}[/tex]
Then subtract both sides by se to leave only jr and jb.
[tex] \displaystyle \large{jr + se - jb - se= f - se} \\ \displaystyle \large{jr - jb = f - se}[/tex]
For jr-jb, we can common factor out the j-term.
[tex] \displaystyle \large{j(r - b)= f - se}[/tex]
For r-b, treat it as one term. Then we divide both sides by r-b.
[tex] \displaystyle \large{ \frac{j(r - b)}{r - b} = \frac{f - se}{r - b} } \\ \displaystyle \large{ j= \frac{f - se}{r - b} }[/tex]
Hence, j = f - se / r - b
Alternate Solution
This is an alternate solution. We can simplify the fractional expression by separating each terms.
[tex] \displaystyle \large{ j= \frac{f - se}{r - b} } \\ \displaystyle \large{ j= \frac{f}{r - b} + \frac{ - se}{r - b} }[/tex]
Since se is in negative, we replace + as - and cancel -se to se.
[tex] \displaystyle \large{ j= \frac{f - se}{r - b} } \\ \displaystyle \large{ j= \frac{f}{r - b} - \frac{ se}{r - b} }[/tex]
The simplifed answer is j = ( f / r - b ) - ( se / r - b l
These two answers work and are correct.
Let me know if you have any questions!
Topic: Literal Equation (Factorization Involved)
What's the sum of 2∕5 and 2∕4 ? Question 4 options: A) 6∕7 B) 9∕10 C) 8∕20 D) 10∕20
Answers
[tex] \frac{2}{5} + \frac{2}{4} = \frac{2}{5} + \frac{1}{2} = \frac{4}{10} + \frac{5}{10} = \frac{9}{10} [/tex]
Answer: B)
Determine g(x + a) – g(x) for the following function.
g(x) = 5x2 + 2x
Answers
Answer:
[tex]g(x + a) - g(x) = 10ax + 5a^2 + 2a[/tex]
Step-by-step explanation:
We are given the function:
[tex]g(x) = 5x^2 + 2x[/tex]
And we want to determine:
[tex]\displaystyle g(x+a) - g(x)[/tex]
Substitute:
[tex]\displaystyle \begin{aligned}g(x + a) - g(x) &=\left[5(x+a)^2 + 2(x+a)\right] -\left[5x^2+2x\right] \end{aligned}[/tex]
And simplify:
[tex]\displaystyle \begin{aligned}g(x + a) - g(x) &=\left[5(x+a)^2 + 2(x+a)\right] -\left[5x^2+2x\right] \\ \\ &= \left(5(x^2 + 2ax + a^2) + (2x + 2a) \right) + \left(-5x^2 - 2x\right) \\ \\ &= \left((5x^2 + 10ax + 5a^2) + (2x + 2a)\right) + \left(-5x^2 - 2x\right) \\ \\ &= (5x^2-5x^2) + (10ax + 2x - 2x) + (5a^2+2a) \\ \\ &= 10ax + 5a^2 + 2a \end{aligned}[/tex]
In conclusion:
[tex]g(x + a) - g(x) = 10ax + 5a^2 + 2a[/tex]
I need to know [35 - (8 + 2) x 3]
Answers
Q) [35 - (8 + 2) × 3] = ?
→ 35 - {(8 + 2) × 3}
→ 35 - {10 × 3}
→ 35 - 30
→ 5 is the correct answer.
Find the slope of the line.
x= 4
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The slope is m = (Type an integer or a simplified fraction.)
OB. The slope is undefined.
(Answer quickly)
Answers
Answer:
B
Step-by-step explanation:
x = 4 is a vertical line parallel to the y- axis with an undefined slope
Which of the following expressions is equal to 5'8 over5'2?
the 5'8 and 5'2 is a fraction and after the ' is the exponent.
Answers
Answer:
number 3
Step-by-step explanation:
What is the constant of proportionality
Answers
Another question I need help with. Thank you
Answers
Answer:
The answer is 5t
Step-by-step explanation:
Two angles are complementary. One angle measures 32 degrees more than the other angle. Find the measure of the LARGER angle
Answers
[tex]\begin{array}{l}\text{We\ have\ } \alpha +\beta =90\ \text{and} \ \beta =\alpha +32\text{\ then}\\\\\alpha +\alpha +32=90\\\\\Longrightarrow 2\alpha =90-32\\\\\Longrightarrow \alpha =\frac{58}{2} =29\\\\\therefore \beta =29+32=61\\\\\therefore \boxed{\text{The\ larger\ angle\ is\ 61\ degrees}}\end{array}[/tex]
Find g (x) - f (x).
g (x) = x^2 + 1 and f (x) = 2x + 5
Answers
Answer:
x^2 - 2x - 4
Step-by-step explanation:
g(x) - f(x) = (x^2 + 1) - (2x + 5) = x^2 + 1 - 2x -5 = x^2 -2x +(1-5) = x^2 - 2x - 4
5 times a number k minus 9 is two thirds of a number j. solve for j
Answers
Answer:
j= 15k−27/2
Step-by-step explanation:
The sum of 7 times a number and 5 is the same as the difference of the number and 7. Find the number.
Answers
Answer:
pls mark me a brainliest
let x represent the number
7(x) + 5 = 7 - x
so we now group like terms
7x + x = 7 - 5
8x = 2
we now divide through by 8
[tex] \frac{8x}{8} = \frac{2}{8} [/tex]
[tex]x = \frac{1}{4} [/tex]
the final answer for the number is 1/4
Hope this will help
Have a good day
Cody won 64 super bouncy balls playing hoops at the county fair. At school he gave three to every student in his math class. He only has 7 remaining. How many students are in his class ?
need algebraic equation too
Answers
Equation: 64 - 3x = 7
Subtract 64 from both sides
-3x = -57
Divide both sides by -3
x = 19
There are 19 students in his class.
(b) Find the value of 3^6
Answers
Answer:
Hey
The answer of your question is 729.
Answer:
3^6=729 or,
Step-by-step explanation:
3×3×3×3×3×3=729
When the function f(x) = 2x^n + ax^2 - 6 is divided by (x - 1), the remainder is -7 and when divided by (x + 3), the remainder is 129.
Calculate the value of "a" and "n" and hence write the polynomial function completely.
Answers
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
From the fact that the remainder is -7 after we divide by x -1 , then we know that f(1) = -7. But f(1) = 2 + a - 6.
So 2 + a - 6 = -7
a - 4 = -7
a = 4 - 7
a = -3.
Also we know that when divided by x + 3 the remainder is 129. Hence f( -3) = 129
129 = f(-3) = 2 (-3)^ n + (-3)(-3)^2 -6
129 = 2 (-3)^n -27 - 6
129 = 2 (-3)^n -33
129 + 33 = 2(-3)^n
162 = 2 (-3)^n
81 = (-3)^n
Hence n =4 and therefore f(x) = 2x^4 -3x^2 - 6.
Need help with these questions
Answers
Answer:
Step-by-step explanation:
where is the questions?
