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
EleoNora [17]
2 years ago
13

Let P(x) = 3x³-ax+b. If P(1) = P(-1) and P(2)=16, find the values of a and b

Mathematics
1 answer:
kozerog [31]2 years ago
6 0

P(1) = P(-1)

P(1) = 3 - a + b
P(-1) = -3 + a + b

-> 3 - a + b = -3 + a + b
-> 3 - a + b + 3 - a - b = 0
-> 6 - 2a = 0
-> a = 3.

P(2) = 24 - 2a + b -> 24 - (2a - b) = 16 -> 2a - b = 8
-> 6 - b = 8
b = -2.

So, a = 3 and b = -2

Recheck : P(1) = 3 - 3 + (-2) = -2
P(-1) = -3 + 3 + (-2) = -2 => P(1) = P(-1) (true)

P(2) = 24 - 6 + (-2) = 16.

You might be interested in
Find the unit rate. round to the nearest hundred if necessary
Lina20 [59]
360÷60=60 60 miles per hour    6840÷45=152 152 costumes per day   45.5÷13=3.5 rounded to nearest hundred= 4 4 meters per second    $7.40<span>÷5=$1.48 rounded to nearest hundred = 1 $1 per pound</span>
3 0
3 years ago
Find the area of wyz A. 18 cm B 36 cm C.72 cm D 144
Oliga [24]

Answer:

36 cm^2

Step-by-step explanation:

area of triangle = length * height * 1/2

6 * 12 * 1/2 = 72 * 1/2 = 36

6 0
3 years ago
The leg of a right triangle is 3 units and the hypotenuse is 4 units. What is the length, in units, of the other leg of the tria
Free_Kalibri [48]

Answer:

5

Step-by-step explanation:

This is honestly a pure guess, but I am guessing they want you to find a perfect triangle, and 3,4,5 is the smallest perfect triangle. Considering they also said it was a right triangle, I strongly beleive the answer is 5.

6 0
3 years ago
Read 2 more answers
What is the answer to m^7 · m^−3?
elena55 [62]

Answer:

M^4

Step-by-step explanation:

Here use product law which state- same base power should add

M^7-3

M^4

8 0
2 years ago
Find the distance between each pair of points. round your answer to the nearest tenth, if necessary. (-8, -5), (-4, 3)
Anuta_ua [19.1K]
The answer would be 8.9
8 0
3 years ago
Other questions:
  • In fgh, mf = 50, mg= 60, and mh =70 which side of fgh is the shortest
    8·1 answer
  • Any ideas please anybody?
    12·1 answer
  • True or False the baby boomer cohort generation was between 1946 and 1964 ?
    13·1 answer
  • How do you figure out 9/10 of 50
    13·2 answers
  • Helppppppppppp me pleaseeee
    14·1 answer
  • Brandy made a scale drawing of a house. The hall closet is 8 inches long in the drawing. The actual closet is 4 feet long. What
    15·1 answer
  • What is the answer 27× -3 1/3=
    7·1 answer
  • The answer of this  3*(-7) is  -21
    10·1 answer
  • Two angles are supplementary. One angle measure 17 more than three times the other. find the measure of the larger angle.
    9·1 answer
  • Which expression is equivalent to (5x10^-3)+(6x10^-3)/22x10^4
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!