All categories

3 years ago

F(x) = 4x2 + 5x - 3 g(x) = 4x2 – 3x2 + 5 Find (f +g)(x).

Mathematics

1 answer:

kondaur [170]3 years ago

6 0

Answer:

5x + 12

Step-by-step explanation:

simplify f(x) and g(x)

g(x) = 4*2 -3*2 +5

g(x) = 8 -6 + 5

g(x) = 7

and

f(x) = 4*2 + 5x -3

f(x) = 8 + 5x - 3

f(x) = 5x + 5

So (f + g)(x) = f(x) + g(x)

(f + g)(x) = (5x + 5) + (7)

(f + g)(x) = 5x + 12

You might be interested in

A toy motorcycle costs $24. A toy airplane costs 4 times as much as the toy motorcycle. How much more does the toy airplane cost

tekilochka [14]

Answer:

The toy airplane costs $72 more than the toy motorcycle. Hope this helps!

Step-by-step explanation:

$24 x 4 = $96

$96 - $24 = $72.

5 0

3 years ago

Read 2 more answers

Write an expression and then solve for x. 149

MatroZZZ [7]

X+52=149 x=97 hope this helped!

3 0

3 years ago

A. 70-74 B. 60-64 C.75-79 D.65-69 E.55-59 please answer will give brainliest

Leona [35]

Answer:

Step-by-step explanation:

7 0

3 years ago

Solve the system of the linear equation using any method: 2x+5y=4 4x+7y=11

mr_godi [17]

Multiply the first equation by 2:
4x+10y=8
Subtract the second equation from this so the 4x cancels:
3y = -3
y = -1
Plug into first equation:
2x -5 = 4
2x = 9
x = 9/2 = 4 1/2 = 4.5
So (x,y) = (-1,4.5)

3 0

3 years ago

Read 2 more answers

A tattoo enthusiast website claims that :

KATRIN_1 [288]

Answer:

The probability that a person is a Millennial given that they have tattoos is 0.5069 (50.69%) or about 0.51 (51%).

Step-by-step explanation:

We have here a case where we need to use Bayes' Theorem and all conditional probabilities related. Roughly speaking, a conditional probability is a kind of probability where an event determines the occurrence of another event. Mathematically:

$\\ P(A|B) = \frac{P(A \cap B)}{P(B)}$

In the case of the Bayes' Theorem, we have also a conditional probability where one event is the sum of different probabilities.

We have a series of different probabilities that we have to distinguish one from the others:

The probability that a person has a tattoo assuming that is a Millennial is:

$\\ P(T|M) = 0.47$

The probability that a person has a tattoo assuming that is of Generation X is:

$\\ P(T|X) = 0.36$

The probability that a person has a tattoo assuming that is of Boomers is:

$\\ P(T|B) = 0.13$

The probability of being of Millennials is:

$\\ P(M) = 0.22$

The probability of being of Generation X is:

$\\ P(X) = 0.20$

The probability of being of Boomers is:

$\\ P(B) = 0.22$

Therefore, the probability of the event of having a tattoo P(T) is:

$\\ P(T) = P(T|M)*P(M) + P(T|X)*P(X) + P(T|B)*P(B)$

$\\ P(T) = 0.47*0.22 + 0.36*0.20 + 0.13*0.22$

$\\ P(T) = 0.204$

For non-independent events that happen at the same time, we can say that the probability of occurring simultaneously is:

$\\ P(M \cap T) = P(M|T)*P(T)$

$\\ P(T \cap M) = P(T|M)*P(M)$

But

$\\ P(M \cap T) = P(T \cap M)$

Then

$\\ P(M|T)*P(T) = P(T|M)*P(M)$

We are asked for the probability that a person is a Millennial given or assuming that they have tattoos or P(M | T). Solving the previous formula for the latter:

$\\ P(M|T)*P(T) = P(T|M)*P(M)$

$\\ P(M|T) = \frac{P(T|M)*P(M)}{P(T)}$

We have already know that

$\\ P(T|M) = 0.47\;P(M) = 0.22\;and\;P(T) = 0.204$ .

Therefore

$\\ P(M|T) = \frac{0.47*0.22}{0.204}$

$\\ P(M|T) = 0.50686 \approx 0.51$

Thus, the probability that a person is a Millennial given that they have tattoos is 0.5069 (50.69%) or about 0.51 (51%).

5 0

4 years ago