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3 years ago

12

You are the CEO of a big company. You are paid an annual salary, plus a bonus of the company's profits over $5,000,000,000. Cons

ider the two functions: g(x) = x - 5,000,000,000 ; f(x) = 0.01x which of the following represents your bonus?
a. (g ⚬ f)(x)
b. (f ⚬ g)(x)

1 answer:

ArbitrLikvidat [17]3 years ago

6 0

Answer:

(g ⚬ f)(x)

Step-by-step explanation:

(g ⚬ f)(x)

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The number of users on a website has grown exponentially since its launch. After 2 months, there were 90 users. After 4 months,

grigory [225]

Answer:

10(3)^x

Step-by-step explanation:

The function contains the points (2,90) and (4,810). Use the general form y=abx to write two equations:

90=ab^2 and 810=ab^4

Solve each equation for a:

a=90/b^2 and a=810/b^4

Since a=a, set the other sides of the equations equal and solve for b.

90/b2=810/b4

Cross multiply, then divide and simplify as follows:

90b^4=810b^2

b^4/b^2=810/90

b^2=90

b^3

Now, use the value of b and the point (2,90) to find the value of a.

90=a(3^2)

a=10

So, substitute answers in original equation for a final answer of f(x)=10(3)^x.

8 0

3 years ago

Show all work to identify the discontinuity and zero of the function f of x equals 4 x over quantity x squared minus 16

Leto [7]

Answer:

Discontinuity of function occurs when x = 4 or x = -4

zero of function is when x=0

Step-by-step explanation:

We are given:

$f(x) = \frac{4x}{x^2 - 16}$

Discontinuity of the function occur when the denominator is equal to zero.

So, we need to find the values of x that makes the denominator zero.

The denominator is x^2 - 16

x^2 - 16 =0

x^2 = 16

x = ± 4

So, if the value of x = 4 or value of x=-4 then the function will be discontinuous.

Zero of the function i.e f(x)=0

So, Putting the function equal to zero and finding the value of x

$\frac{4(x)}{(x)^2 - 16}=0\\4x =0((x)^2 - 16)\\4x=0\\x=0$

So, zero of function is when x=0

5 0

3 years ago

Plz help WILL MARK BRAINLIEST

shusha [124]

Answer:

16 and 18

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

This isn’t too difficult of questions and I am pretty sure I know the answers but I just want to make sure. Can someone please h

Shkiper50 [21]

Q2 Anwser
Exact Form:
28/15
Decimal Form:
1.86
Mixed Number Form:
1 13/15

5 0

3 years ago

Q = x^3 â xGiven that x is a positive integer such that x â¥ 75, which of the following is the remainder when Q is divided by 6?

geniusboy [140]

Answer:

A) 0

Step-by-step explanation:

Given that

$Q=x^{3}-x\\\\x(x^{2}-1)\\\\x(x+1)(x-1)$

Divisor = 6 = 3*2

$\frac{Q}{D}=\frac{(x)(x+1)(x-1)}{6}\\\\\frac{Q}{D}=\frac{(x)(x+1)(x-1)}{2 \times 3}\\$

As it can be see that x ≥ 75 and Q is product of three consecutive terms (x-1), x, (x+1) which is always completely divisible by 2, 3 and 6. So remainder is zero

4 0

3 years ago