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emmasim [6.3K]
3 years ago
8

Given the system below:

Mathematics
2 answers:
Norma-Jean [14]3 years ago
3 0

f(x) and g(x) are literally the same function: their output is twice the input.

So, no matter which input you feed to f and g, they will always return the same output.

All of the option apply, as well as every other possible number.

hram777 [196]3 years ago
3 0

Answer:

B) x = 1

C) x = 4

Step-by-step explanation:

Given:

f(x) = 2x

g(x) = 2^x

We have to find at what value of x, the above two functions are equal in value.

Now we have to check with the each options.

When x = 0, f(0) = 2(0) = 0 ; g(0) = 2^0 = 1 [Anything power 0, is 1]

When x = 1, f(1) = 2(1) = 2 ; g(1) = 2^1 = 2.

when x = 2, f(2) = 2(2) = 4; g(2) = 2^2 = 4

when x = 3, f(3) = 2(3) = 6, g(3) = 2^3 = 8

when x = 4, f(4) = 2(4) = 8, g(4) = 2^4 = 16

The two functions are equal in value when x = 1 and x = 2.

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According to a​ report, 51.6​% of murders are committed with a firearm. ​(a) if 200 murders are randomly​ selected, how many wou
dolphi86 [110]

Answer:

a) 103, b) No

Step-by-step explanation:

a) We need to multiply the probability by the amount of the sample to get:

200 × 51.6% = 103.2, rounded down to 103

b) As we have selected the people randomly, we have no control over the type of people we are given - this is theoretical and the estimate is not definite - all of the sample could have murdered by firearm or even none (even though it is highly unlikely).

6 0
3 years ago
Let A = {1, 2, 3, 4, 5} and B = {a, b, c, d}. For each of the following relations fromn A to B, answer these questions: Is it a
Lorico [155]

Answer:

(a) This function is neither one-to-one nor onto.

(b) This function is neither one-to-one nor onto.

(c) This relation is not a function.

(d) The function is onto but not one-to-one.

Step-by-step explanation:

Given information: A = {1, 2, 3, 4, 5} and B = {a, b, c, d}

A relation is a function if and only if there exist a unique output for each input.

One-to-one : A function is one-to-one if every element of the function's codomain is the image of at most one element of its domain.

Onto : A function is onto if for every element y in the codomain Y of f there is at least one element x in the domain X of f such that f(x) = y.

(a)

{(1, c) ,(2, c) ,(3, c) ,(4, c) ,(5, d)}

This relation is a function because all x-value has unique y-value.

The above function it not one-to-one because for more than one input we have same output (c have four domains).

The above function it not onto because all element of B are not have preimage (a and b have no preimage).

This function is neither one-to-one nor onto.

Similarly,

(b)

{(1, a ) ,(2, d ) ,(3, a ) ,(4, c ) }

This relation is a function because all x-value has unique y-value.

Here, a have more than one preimage and b have no preimage.

The function is neither one-to-one nor onto.

(c)

{(1, d ) ,(2, d ) ,(3, a ) ,(4, b ) ,(4, d ) ,(4, c )} .

For x=4 we have for than one value of y.

Therefore this relation is not a function.

(d)

{(1, c ) ,(2, b ) ,(3, a ) ,(4, d ) ,(5, a ) }

This relation is a function because all x-value has unique y-value.

Here, a have two preimage. So, this function is not one-to-one.

All elements of B have preimage. So, this function is onto.

The function is onto but not one-to-one.

5 0
3 years ago
The hypotenuse of a right triangle is 65 cm, if one of its sides is 25 cm, find the length of the other side and it's perimeter
KatRina [158]

Answer:

Other side = 60

Perimeter = 150

Step-by-step explanation:

Using Hypothenuse formula

25²+B²=65²

625+B²=4225

B²=4225-425

B²=3600 (Bring Square to the other side to become Square root)

B=√(3600)

B=60

Perimeter:(Sum of all side)

60+65+25

150

5 0
2 years ago
*<br> What's the y-intercept of the following?<br> 4x + 2y = 20
Marysya12 [62]

Answer:

(1, -10) hope this helps

6 0
3 years ago
Read 2 more answers
PLEASE HELP WILL MARK BRAINLIEST!!!!! +20 POINTS <br> only answer number 25.
natima [27]

Answer:

the one up: 21

the one down: 16

5 0
3 years ago
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