All categories

3 years ago

F(x) = x2 -2x & g(x) = 12-8x. Find f(2) - g(3)

Mathematics

1 answer:

Marianna [84]3 years ago

3 0

<h3>Answer: 24</h3>

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

Work Shown:

f(x) = x^2 - 2x

f(2) = 2^2 - 2*2 ... replace every x with 2

f(2) = 4 - 4

f(2) = 0

----------------------------

g(x) = 12-8x

g(3) = 12-8*3 ... replace every x with 3

g(3) = 12-24

g(3) = -24

----------------------------

Subtract the results of the previous two sections

f(2) - g(3) = 0 - (-24)

f(2) - g(3) = 0 + 24

f(2) - g(3) = 24

You might be interested in

A rectangular pyramid has a volume of 160 cubic feet. Find two possible sets of measurements for the base area and height of the

muminat

$\bf \textit{volume of a pyramid}\\\\ V=\cfrac{1}{3}Bh~~ \begin{cases} B=area~of\\ \qquad its~base\\ h=height\\ \cline{1-1} V=160 \end{cases}\implies 160=\cfrac{Bh}{3}\implies 480=Bh \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} 480=&2\cdot 2\cdot 2\cdot 2\cdot 2\cdot 3\cdot 5\\ &8\cdot 60\\ &32\cdot 15 \end{cases}~\hspace{5em}\stackrel{B}{8}\times\stackrel{h}{60}\qquad \qquad \stackrel{B}{32}\times\stackrel{h}{15}$

4 0

3 years ago

NEED HELP PLS thank u

Mandarinka [93]

Hey I can help. Do u still need it?

7 0

3 years ago

Read 2 more answers

May runs around a 4 m track at a consistent speed of 250 m/min. how many minutes does it take me to complete for lapse of the tr

Nookie1986 [14]

Answer:

<u>It takes May 6 minutes and 24 seconds to run 4 laps and 1 minute and 36 seconds per lap</u>

Statement and question:

May runs around a 400-meter track at a constant speed of 250 meters per minute. How many minutes does it take May to complete 4 laps of the track?

Source:

Previous question that can be found at brainly

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Speed of May = 250 meters per minute

Length of the track = 400 meters

2. How many minutes does it take May to complete 4 laps of the track?

Let's answer the question calculating the total distance and the time it took Mary to run around the track, this way:

Total distance = 4 * 400 = 1,600 meters

Time it takes May to run 1,600 meters = 1,600/250

Time it takes May to run 1,600 meters = 6.4 minutes

<u>6.4 minutes = 6 minutes + 0.4 * 60 seconds = 6 minutes and 24 seconds</u>

<u>Time it takes May to run one lap = 6.4/4 = 1.6</u>

<u>1.6 minutes = 1 minute + 0.6 * 60 seconds = 1 minute and 36 seconds</u>

3 0

4 years ago

A certain virus infects one in every 300 people. A test used to detect the virus in a person is positive 90% of the time when t

garik1379 [7]

Answer:

a) P[A/B] = 0,019 or P[A/B] = 1,9 %

b) P[A- /B-] = 0,9996 or P[A- /B-] = 99,96 %

Step-by-step explanation:

Bayes Theorem :

P[A/B] = P(A) * P[B/A] / P(B)

The branches of events are as follows

Condition 1 real infection 1/300 and not infection 299/300

Then

1.- 1/300 299/300

When the test is done (virus present) 0,9 (+) 0,15 (-)

2.- 299/300

When the test is done ( no virus ) 0,15 (+) 0,85 (-)

Then:

P(A) = event person infected P(B) = person test positive

a) P[A/B] = P(A) * P[B/A] / P(B)

where P(A) = 1/300 = 0,0033 P[B/A] = 0,9

Then P(A) * P[B/A] = 0,0033*0,9 = 0,00297

P(B) is ( 1/300 )*0,9 + (299/300)*0,15

P(B) = 0,0033*0,9 + 0,9966*0,15 ⇒ P(B) = 0,1524

Finally

P[A/B] = 0,00297 /0,1524

P[A/B] = 0,019 or P[A/B] = 1,9 %

b) Following sames steps:

P[A- /B-] = (299/300) * 0,85 / (299/300) * 0,85 + (1/300 * 0,1)

P[A- /B-] = 0,8471 /0,8474

P[A- /B-] = 0,9996 or P[A- /B-] = 99,96 %

6 0

3 years ago

In the general population, one woman in eight will develop breast

MArishka [77]

Answer:

a) 8/10

b) $0.001 \overline{33}$

c) Independent events

Step-by-step explanation:

The given information are;

The proportion of women than carries a mutation of the BRCA gene, P(A) = 1/600

The proportion of women in which the mutation develops breast cancer, P(B) = 8/10

a) The probability that a randomly selected woman will develop breast cancer given that she has a mutation of the BRCA gene is given as follows;

1 × P(B) = 1 × 8/10 = 8/10

b) The probability, P that a randomly selected woman woman will carry the mutation of the BRCA gene and will develop breast cancer is given as follows;

P(A) × P(B) = 1/600×8/10 = 1/750 = $0.001 \overline{33}$

c) The events are dependent

Given that P(A) × P(B) = P(A∩B), the events of carrying the mutation and developing Breast cancer are independent events.

4 0

4 years ago