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stich3 [128]
3 years ago
6

Which function is the inverse of f(x)=4x-5

Mathematics
2 answers:
wlad13 [49]3 years ago
8 0

Answer:

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

Step-by-step explanation:

To find the inverse, you must switch x and y.

y=4x-5 becomes x=4y-5

Solve the equation, first by adding 5 over

x=4y-5

x+5=4y

Divide by 4 on both sides

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

Hope this helped!

astra-53 [7]3 years ago
7 0

Answer:

f−1(x)=x/4+5/4

Step-by-step explanation:

interchange the variables and solve for y

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determine the constant of variation for the direct variation R varies directly with S is given 16, R is 80
valina [46]

Answer:

5

Step-by-step explanation:

8 0
4 years ago
Multiply: 3m3(2m2 + 3m − 1) 6m6 + 6m4 15m6 − 9m3 6m5 + 9m3 − 3m3 6m5 + 9m4 − 3m3
nalin [4]

Step-by-step explanation:

hope this helps you out

3 0
3 years ago
You need to arrange 10 of your favorite books on a small shelf. How many different ways can you arrange the books, assyming that
tensa zangetsu [6.8K]

Answer:

You can arrange the books 3,628,800 different ways.

Step-by-step explanation:

You can imagine that the shelf has 10 "slots" where you can place a book. Each slot can take 1 of the 10 books. However, after you have placed 1 book, there are only 9 possible books to place. After 2 have been placed, there are only 8 possible.

Going left-to-right, the first slot has 10 available books.

Total combinations: 10

The 2nd slot has 9 available books.

Total combinations: 10 * 9

The 3rd slot has 8 available books.

Total combinations: 10 * 9 * 8

This continues for all 10 slots.

Eventually, for slot 10, there is only 1 book possible.

Total combinations: 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1

Multiply all numbers between 10 and 1 with each other is also known as "10 factorial" or "10!"

Thus, the total number of combinations is:

10! = 10*9*8*7*6*5*4*3*2*1 = 3628800

Answer: You can arrange the books 3,628,800 different ways.

8 0
4 years ago
05.02 find the measure of the angle x in the figure below​
lilavasa [31]

Answer:

48

Step-by-step explanation:

52+59=111 180-111=69  69+63=132 180-132=48

7 0
4 years ago
Find an n-degree polynomial function with real coefficients satisfying the given condition.
kolezko [41]

In all cases, if f has real coefficients, then any complex roots occur in conjugate pairs, so if a+bi is a root, then so is a-bi. Also, by the fundamental theorem of algebra, if r_1,\ldots,r_n are roots to f, then for some constant a\in\mathbb R,

f(x)=a(x-r_1)\cdots(x-r_n)

1. If n=3 and f(3)=f(2i)=0, then

f(x)=a(x-3)(x-2i)(x+2i)=ax^3-3ax^2+4ax-12a

Given that f(-1)=50, we have

f(-1)=a(-1-3)(-1-2i)(-1+2i)=-20a=50\implies a=-\dfrac52

\implies\boxed{f(x)=-\dfrac52x^3+\dfrac{15}2x^2-10x+30}

2.

f(x)=a(x-4)(x-(-5+2i))(x-(-5-2i))=a x^3 + 6 a x^2 - 11 a x - 116 a

With f(2)=-636, we have

f(2)=a(2-4)(2+5-2i)(2+5+2i)=-106a=-636\implies a=6

\implies\boxed{f(x)=6x^3+36x^2-66x-696}

The rest are done in the same exact way.

3 0
4 years ago
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