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lozanna [386]
3 years ago
13

Find the value of k if (x-3) is a factor of P(x)=2x3-5x2+3x+k

Mathematics
1 answer:
blsea [12.9K]3 years ago
4 0

Answer:

k = -18

Step-by-step explanation:

If x-3 is a factor, what this means is that if we substitute;

x = 3 into the equation, we should get 0

This is from the factor theorem

Thus ;

P(3) = 0 = 2(3)^3 -5(3)^2 + 3(3) + k

0 = 54 - 45 + 9 + k

k + 18 = 0

k = -18

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4 0
1 year ago
Estimate 49.419-27.276 by first rounding each number to the nearest thousand.
Wewaii [24]

Answer:

22.143

Step-by-step explanation:

49.419-27.276=22.143

6 0
3 years ago
The sum of two numbers is 8, and their product is 15. What is the largest number?
AfilCa [17]
Hello there!

The sum of two numbers (x + y) is 8 (=8).
Their product (x * y) is 15 (=15).
x + y = 8
x * y = 15

First, we know that the two number must be positive and under 8, as the product is positive.

Let's list out some numbers that are from 1 to 8 that sum up to 8;
1 + 7
2 + 6
3 + 5
4 + 4

Now, we need to multiply the two numbers that add up to 8, and see which makes a product of 15.
1 * 7 = 7, this does not work.
2 * 6 = 12, this does not work.
3 * 5 = 15, this works!
4 * 4 = 16, this does not work.

Since we are looking for the larger number in our pairs, let's pick the largest one out of the correct pair, which is 5.

The largest number is 5.

I hope this helps!
3 0
3 years ago
What is the slope of the line that passes through the points (-2, -1) and (2, -3)?
Lady bird [3.3K]

Answer:

m=\frac{-1}{2}

Step-by-step explanation:

Slope Formula: m=\frac{y_2-y_1}{x_2-x_1}

Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>:

m=\frac{-3-(-1)}{2-(-2)}

m=\frac{-3+1}{2+2}

m=\frac{-2}{4}

m=\frac{-1}{2}

3 0
3 years ago
HI PPL ICE CREAM AND CANDY
ankoles [38]

Answer:

1/8 divded by 2/3= .... then u add ur answer to 1/8 and there u go

Step-by-step explanation:

Well u have 1/8 of a gallon of water and if u divide that over the 2/3 of the bins  will give u what it takes to fill the last bin then u add it to the the 1 over 8 gallon of water part.

ITs been a while but what I remember

5 0
3 years ago
Read 2 more answers
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