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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.

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What does this mean -(-c) when c+2/3 on the numberline
ad-work [718]

Answer:

Step-by-step explanation:

a negative minus a negative is a positive so it mean c plus 2divided by 3 on the the number line

5 0
3 years ago
Brian says that the expression 8n + 2 is equal to 83 when n=1. Explain why Brian’s answer is incorrect?
GalinKa [24]

Answer:

8n+2 first let’s plug in n which is 1

8(1)+2=10

The answer is 10 but Brian said the expression is equal to 83. He is incorrect because 8 times 1 is 8 and then plus 2 is 10.

I hope it helps.

5 0
3 years ago
A rectangular card has an area of 120 over 1\4 square inches. The card is 6 over 1\2 inches wide. How long is the card???? if u
Anika [276]
The area is 120/(1/4) or 120 x 4 or 480 square inches
the width is 6/(1/2) or 6 x 2 or 12 inches
to find the length, divide the area by the width
480/12= 40
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Hope this helps :)

7 0
3 years ago
The sum of two consecutive ODD integers is -76. Find the integers.​
alexandr1967 [171]

Answer:

First number: -39

Second number: -37

Step-by-step explanation:

An odd number can be written as 2n+1 where n is a whole number.

Let's call our first number 2n+1.

Our second, consecutive number will be 2 more than our first number, since it has to be odd. All numbers go: odd -> even -> odd -> even. If we have an odd number, and add 2, we'll get the next odd number.

First number: 2n+1

Second number: 2n+1+2 = 2n+3

The sum of these two numbers, 2n+1 and 2n+3 will be -76.

(2n+1) + (2n+3) = -76

2n + 2n + 1 + 3 = -76

4n + 4 = -76

4n = -80

n = -20

Since our first number is 2n+1:

2 * (-20) + 1 = -40 + 1 = -39

First number: -39

Our second number is 2n+3, or 2 more than our first number.

-39 + 2 = -37

Second number: -37

We can double check this:

-39 + (-37) = -39 - 37 = -76

7 0
3 years ago
A DVD player that normally cost $160 is on sale for 70% of its normal price.What is the sale price of the DVD player.
maw [93]
160 $ = 100%
     x $ = 70%


100 x = 11200
     x =  112


160,00 - 112,00 =  48,00$


7 0
3 years ago
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