1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ostrovityanka [42]
3 years ago
7

14. f(x) = -x4 + x² + 4; x = -1

Mathematics
1 answer:
natali 33 [55]3 years ago
5 0

Answer:

  f(-1) = 4

Step-by-step explanation:

See below for the synthetic division tableau. The remainder is 4, hence ...

  f(-1) = 4

___

IMO, in this function it is far easier just to substitute -1 for x. Since the only terms are of even degree, the value of f(-1) is the sum of the coefficients:

  f(-1) = -1 +1 +4

  f(-1) = 4

You might be interested in
I sincerly am bad at Math xD. I need help with this
telo118 [61]
I wish I could help but I'm not good in math at all
8 0
3 years ago
Terrell is moving boxes in a freight elevator. Each box weighs about 25 pounds. For safety reasons, a maximum of 600 pounds can
k0ka [10]

Answer:

x ≤ 15

Step-by-step explanation:

25x + 225 ≤ 600

Subtract 225 from both sides and get

25x  ≤  375

Divide 25 from both sides and you´ll get

x ≤ 15

3 0
3 years ago
A player of the National Basketball Association’s Portland Trail Blazers is the best free-throw shooter on the team, making 94%
g100num [7]

Answer:

The data for the probabilities are shown in the table below.

- A represents the probability of making the two shots for each of the best and worst shooter on the Portland Trail Blazers' team

- B represents the probability of making at least one shot for each of the best and worst shooter on the Portland Trail Blazers' team.

- C represents the probability of not making any of the two shots for each of the best and worst shooter on the Portland Trail Blazers' team.

N | Best ||| Worst

A | 0.8836 | 0.3136

B | 0.9964 | 0.8064

C | 0.0036 | 0.1936

It becomes evident why fouling the worst shooter on the team is a better tactic. The probabilities of the best shooter making the basket over the range of those two free shots are way better than the chances for the worst shooter.

Step-by-step explanation:

Part 1

Probability of the best shooter of the National Basketball Association’s Portland Trail Blazers making a shot = P(B) = 94% = 0.94

Probability that he doesn't make a shot = P(B') = 1 - 0.94 = 0.06

a) Probability that the best shooter on the team makes the two shots awarded = P(B) × P(B) = 0.94 × 0.94 = 0.8836

b) Probability that the best shooter on the team makes at least one shot.

This is a sum of probabilities that he makes only one shot and that he makes two shots.

Probability that he makes only one shot

= P(B) × P(B') + P(B') + P(B)

= (0.94 × 0.06) + (0.06 × 0.94) = 0.1128

Probability that he makes two shots = 0.8836 (already calculated in part a)

Probability that he makes at least one shot = 0.1128 + 0.8836 = 0.9964

c) Probability that the best shooter on the team makes none of the two shots = P(B') × P(B') = 0.06 × 0.06 = 0.0036

d) If the worst shooter on the team, whose success rate is 56% is now fouled to take the two shots.

Probability of the worst shooter on the team making a shot = P(W) = 56% = 0.56

Probability that the worst shooter on the team misses a shot = P(W') = 1 - 0.56 = 0.44

Part 2

a) Probability that the worst shooter on the team makes the two shots = P(W) × P(W)

= 0.56 × 0.56 = 0.3136

b) Probability that the worst shooter on the team makes at least one shot.

This is a sum of probabilities that he makes only one shot and that he makes two shots.

Probability that he makes only one shot

= P(W) × P(W') + P(W') + P(W)

= (0.56 × 0.44) + (0.44 × 0.56) = 0.4928

Probability that he makes two shots = 0.3136 (already calculated in part a)

Probability that he makes at least one shot = 0.4928 + 0.3136 = 0.8064

c) Probability that the worst shooter makes none of the two shots = P(W') × P(W') = 0.06 × 0.06 = 0.1936

From the probabilities obtained

N | Best ||| Worst

A | 0.8836 | 0.3136

B | 0.9964 | 0.8064

C | 0.0036 | 0.1936

It becomes evident why fouling the worst shooter on the team is a better tactic. The probabilities of the best shooter making the basket over the range of those two free shots are way better than the chances for the worst shooter.

Hope this Helps!!!

8 0
2 years ago
Read 2 more answers
A tank currently holds 5 gallons of water. It is being filled at the rate of 1/4 gallon per minute. How long will it take for th
Verdich [7]
So we know the tank already has 5 gallons and we need 9. This means we need 4 more gallons in order to fill up the tank.

If 1/4 gallon is being filled per minute we need to find out how many 1/4 gallons makes up 4 gallons in total.

4 of the 1/4 gallons makes up 1 whole gallon. So since we need 4 whole gallons we would need 16 of the 1/4 gallons.

This means that it will take 16 minutes for the tank to hold 9 gallons of water. 
6 0
3 years ago
Read 2 more answers
Parallelogram CDEF with vertices C(-4,-4), D(-2, 0), E(6, 1), and F(4, -3) in the line y = 2.
STALIN [3.7K]
Y=2 I’d the answer I think
7 0
2 years ago
Other questions:
  • A can of soda is 6 inches tall and has a diameter 3 inches how much soda does the can hold in terms of pi
    15·1 answer
  • (-4,-3) and (4,3) distance formula
    8·2 answers
  • It’s number 5 please help
    13·1 answer
  • Help me on this please
    11·2 answers
  • X2-12x+20 anyone? help plz
    9·1 answer
  • Solve for t.<br> Speed (Velocity)<br> V = d/t
    10·1 answer
  • Jacob has 2 gifts he gives 1 gift to Sally how many gifts does Jacob have now?
    5·2 answers
  • 2. Does the point (2, 3) lie on the graph of y = 3x - 4 ? Explain. (2 points)
    12·1 answer
  • HELP HELP HELP HELP FIND THE VALUE OF X
    10·1 answer
  • A party rental company has chairs and tables for rent. The total cost to rent 6 chairs and 5 tables is $63. The total cost to re
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!