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velikii [3]
3 years ago
9

Find the inverse function of F(x) = 1/2x-6​

Mathematics
2 answers:
DIA [1.3K]3 years ago
5 0
F^-1 (x) = 2x + 12 hope it help
chubhunter [2.5K]3 years ago
3 0

Answer:

F^{-1} (x) = 2x + 12

Step-by-step explanation:

Let's assume F(x) = y, then

y = \frac{1}{2} x - 6

Let us solve the equation for x.

y + 6 = \frac{1}{2} x

2y + 12 = x

Next, replace y with x and also replace x with F⁻¹(x)

Answer: F^{-1} (x) = 2x + 12

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5x +7 y=-17<br> 4x – 3y = -5<br> Substitute.
Bond [772]

Answer:

(x,y) = (-2, -1)

Step-by-step explanation:

We start off by substituting the value of "x".

5x+7y=-17

x=-\frac{5}{4} + \frac{3}{4}y

We then solve 55(-\frac{5}{4}+\frac{3}{4}y ) +7y= -17

y=-1 *Substitute the value of "y"

x= --\frac{5}{4}+\frac{3}{4}x(-1)

x=-2

\left \{ {{-17=-17} \atop {-5=-5}} \right. This works.

5 0
3 years ago
Identify each function that has a remainder of -3 when divided x+6
Sergeu [11.5K]

Answer:

D

Step-by-step explanation:

According to remainder theorem, you can know the remainder of these polynomials if you plug in x = -6 into them.

<em>So we will plug in -6 into x of all the polynomials ( A through D) and see which one equals -3.</em>

<em />

<em>For A:</em>

x^5 + 2x^2 - 30x + 30\\=(-6)^5 + 2(-6)^2 - 30(-6) + 30\\=-7494

For B:

x^4 + 4x^3 - 21x^2 - 53x + 12\\=(-6)^4 + 4(-6)^3 - 21(-6)^2 - 53(-6) + 12\\=6

For C:

x^3 - 10x^2 - 7\\=(-6)^3 - 10(-6)^2 - 7\\=-583

For D:

x^4 + 6x^3 - 10x - 63\\=(-6)^4 + 6(-6)^3 - 10(-6) - 63\\=-3

The only function that has a remainder of -3 when divided by x + 6 is the fourth one, answer choice D.

5 0
3 years ago
Aunt Mary drove 325 miles to visit her nephew for thanksgiving. It took her 5 hours to drive from her to her nephew’s house What
Dima020 [189]

\text{We know that Aunt Mary drove 325 miles}\\\\\text{We also know this took her 5 hours}\\\\\text{We need to find how fast she was going, in miles per hour}\\\\\text{To do this, divide 325 by 5 to see how much she drove in 1 hour}\\\\325\div5=65\\\\\text{This means that she was going 65 mph}\\\\\boxed{\text{65 mph}}

7 0
3 years ago
Read 2 more answers
What is the fifth term in the sequence defined by f(n)=3(n-3)
Sholpan [36]
The answer is n= 3.

Hope this helps.
8 0
3 years ago
Read 2 more answers
Which of the following is the complete factorization of 3x2-6x-240?
AURORKA [14]
1.  Reduce  <span>3x2-6x-240   to    x^2 - 2x - 80

2.  Use " ^ " to indicate exponentiation

3.  Factor  </span>x^2 - 2x - 80 using completing the square:

     x^2 - 2x + 1^2 - 1^2 - 80

         (x+1)^2 - 1  - 80
          (x+1)^2 - 81
          (x+1)^2 - 9^2  = (x+1-9)(x+1 +9), or (x-8)(x+10)

Final answer, with all factors shown:      3(x-8)(x+10)
4 0
3 years ago
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