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3 years ago

For f (x) = 3x + 1 and g(x) = x^2 -6, find (f-g) (x)

Mathematics

1 answer:

natali 33 [55]3 years ago

6 0

Answer:

Step-by-step explanation:

(f - g)(x) = f(x) - g(x), so

f(x) - g(x)

= 3x + 1 - (x² - 6) ← distribute by - 1

= 3x + 1 - x² + 6 ← collect like terms

= - x² + 3x + 7 → D

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Max bicycled 6.25 mi in 30.5 on average how far did he bicycle each minute round to the nearest tenth

ollegr [7]

6.25/30.5= 0.2049180327868852 = 0.2 Miles per minute

6 0

2 years ago

Julie, a police officer, has the following work pattern. She works 3 days, has 4 days off, then works 4 days, then has 3 days of

zalisa [80]

Answer:

See below.

Step-by-step explanation:

For each day number, Y means working, and N means off

Day

1 Y

2 Y

3 Y

4 N

5 N

6 N

7 N

8 Y

9 Y

10 Y

11 Y

12 N

13 N

14 N

15 Y

16 Y

17 Y

18 N

19 N

20 N

21 N

22 Y

23 Y

24 Y

25 Y

26 N

27 N

28 N

29 Y

30 Y

31 Y

32 N

33 N

34 N

35 N

36 Y

37 Y

38 Y

39 Y

40 N

41 N

42 N

43 Y

44 Y

45 Y

46 N

a. Today is day 1. 30 days from today is day 31.

She works on day 31, so she does work 30 days from today.

b. 45 days from today is day 46. She is off on day 46, so she will be off 45 days from today.

8 0

2 years ago

Read 2 more answers

PROBLEM SOLVING A game of bowling has ten frames. After five frames, your friend’s bowling score is 65 and your bowling score $x

Elodia [21]

Considering the situation described, we have that:

a. x = 65 - 8 = 57.

b. You won the game, as you scored 137 and your friend 130.

<h3>What is the equation for the situation after five frames?</h3>

Your friend's score is of 65, and your score of x is 8 less than your friend, hence the equation is:

x = 65 - 8 = 57.

<h3>What are the final scores?</h3>

Your friend score doubled, hence his/her final score is:

2 x 65 = 130.

Your score increased by 80, hence your final score is:

57 + 80 = 137.

You won the game, as you scored 137 and your friend 130.

More can be learned about equations at brainly.com/question/25537936

#SPJ1

8 0

1 year ago

In the square below, the two semi-circles are congruent. Find the area of the shaded region. If necessary, round your answer to

Jobisdone [24]

Let's start with the area of the square
$area \: square = s \times s = 8 \times 8 = 64$
now let's subtract the are of the two half circles.
two half circles are the same as one circle, and we know that the diameter of the circle is 8 (same as the side of a square) so it's radius is 8/2= 4 inches

$area \: circle = \pi {r}^{2} = \pi \times {4}^{2} = 16\pi$
now we just subtract and our answer is

$64 - 16\pi = 64 - 16 \times (3.14) = 13.73$

3 0

3 years ago

100m In 9 3/5 seconds

Nostrana [21]

Answer:

Speed = 10.42 m/secs

Step-by-step explanation:

We have been given with:-

Distance = 100m

Time taken = 9 $\frac{3}{5}$ secs