All categories

3 years ago

Let h(x) be the inverse of f(x). If h(x) = -4+1, which of the following represents f(x)?

Mathematics

1 answer:

ser-zykov [4K]3 years ago

4 0

Answer:

Its F(x)=-1/4x-1/4

Step-by-step explanation:

just took a quiz in class

You might be interested in

(a) Plot the following function ona Karnaugh map.(Do not expand to minterm form before plotting.)

makvit [3.9K]

Answer:

a) the K-map is in the attachment

f = Σm(0,1,2,3,6,10,14,15)

b) from the k-map, the minimum sum of products is

F = A'B' + CD' + ABC

c) the minimum product of sums is

F = (B' + C)(A' + C)(A+ B' +D')(A' + B + D')

Step-by-step explanation:

A Karnaugh map (K-map) is a pictorial framework used to limit the Boolean expressions without utilizing Boolean algebra theorems and equation controls.

a) the given function is f(A,B,C,D)=A‘B’+CD’+ABC +A’B’CD’+ABCD’

expanding the function as four variable terms

f(A,B,C,D)=A‘B’+CD’+ABC +A’B’CD’+ABCD’

= A'B'(C + C')(D + D')+(A + A')(B + B")CD' + ABC(D + D') + A'B'CD' + ABCD'

= A'B'CD + A'B'CD' + A'B'C'D' + ABCD' +AB'CD' + A'BCD' + A'B'CD' + ABCD +ABCD' + A'B'CD' + ABCD'

=A'B'CD + A'B'CD' + A'B'C'D + A'B'C'D' + ABCD' + AB'CD' + A'BCD' +ABCD

f = Σm(0,1,2,3,6,10,14,15)

note: diagram is in the attachment

b) the minterms for the minimum sum of product are

f = Σm(0,1,2,3,6,10,14,15)

simplifying the K-map(done in the attachment)

from the k-map, the minimum sum of products is

F = A'B' + CD' + ABC

c) the maxterms for the minimum product of sums are

f = ПM(4,5,7,8,9,11,12,13)

plot the K-map to find minimum product of sums(done in the attachment)

the minimum product of sums is

F = (B' + C)(A' + C)(A+ B' +D')(A' + B + D')

4 0

3 years ago

<img src="https://tex.z-dn.net/?f=12x%20%5E%7B2%7D%20%20%2B%204x%20%2B%2020" id="TexFormula1" title="12x ^{2} + 4x + 20" alt="1

Nesterboy [21]

<h3>Answer: </h3>

The GCF is 4

The polynomial factors to $4(3x^2+x+5)$

==========================================================

Further explanation:

Ignore the x terms

We're looking for the GCF of 12, 4 and 20

Factor each to their prime factorization. It might help to do a factor tree, but this is optional.

12 = 2*2*3
4 = 2*2
20 = 2*2*5

Each factorization involves "2*2", which means 2*2 = 4 is the GCF here.

We can then factor like so

$12x^2 + 4x + 20\\\\4*3x^2 + 4*x + 4*5\\\\4(3x^2 + x + 5)$

The distributive property pulls out that common 4. We can verify this by distributing the 4 back in, so we get the original expression back again.

The polynomial inside the parenthesis cannot be factored further. Proof of this can be found by looking at the roots and noticing that they aren't rational numbers (use the quadratic formula).

4 0

2 years ago

If 6 times a number is added to -4, the result is 10 times the number. Find the number.

andrew11 [14]

the number is - 1

let the number be n then 6 times the number is 6n and added to -4 is

- 4 + 6n = 10n ( equal to 10 times the number )

subtract 6n from both sides

- 4 = 4n ( divide both sides by 4 )

$\frac{-4}{4}$ = n , hence n = - 1

5 0

2 years ago

how many meatballs are required fora party of 10 adults and 5 childen? fomual is m=4a+2 where c= children and m=meatball and a=

professor190 [17]

The answer is 42 because there are 10 adults and
M=4(10)+2
M=40+2
M=42

3 0

3 years ago

In the middle school debate club,30% of the members are in sixth grade.if there are 12 sixth graders in the debate club,how many

kondaur [170]

Answer:

Step-by-step explanation:

8 0

3 years ago