Answer:
Step-by-step explanation:
The expression x^3 - x^2 - 17x -15) ÷ (x-5) shows that x+5 is one of the factor if the polynomial function. According to factor theorem, we will equate the factor to zero and find x;
x+5 = 0
x = -5
Next is to generate the remainder.
Substitute x = -5 into the polynomial function
P(x) = x^3 - x^2 - 17x -15
P(-5) = (-5)^3 - (-5)^2 - 17(-5) -15
P(-5) = -125-25+85-15
P(-5) = -150+70
P(-5) = -80
Hence the remainder is -80
Answer:
Step-by-step explanation:
counting money after shopping or depositing money
Inequlity: 15>= x
Greatest amount she can earn: $105 a week
<span>You can share a 6 segment chewy
fruit worm by giving the four people 1 ¼ segments. Also, there are a lot ways
on how to divide it equally, but in this case, I’ll show two. Here are the two ways on how to share it:
1. You can divide the worm by giving one segment for each and then divide the remaining two segments in halves, thus resulting to having </span><span>1 </span>¼ shares.
2. Cut the worm in a horizontal manner. In this way, you'll have 12 segments now. You can then proceed by distributing the share by 3s, which is still equivalent to 1 <span>¼</span>.
<span>No, it doesn't. To find out if it's a right angled triangle, we use Pythagorean triple. It states that the square of the hypotenuse (the longest side) is equal to the sum of the squares of the opposite and adjacent sides. Obviously, the longest side, which is our hypotenuse is 24. So we want to find out whether the square of our hypotenuse is equal to the sum of the squares of the other two sides i. e 13 and 21.
24^ 2 = 576 ; 13^2 = 169 ; 21^2 = 441;
So is 576 = 169 + 441. An emphatic No: hence the triangle isn't right angled since it doesn't satisfy pythagorean triple.. A^2 is not equal to B^2 + C^2 where a is the hypotenuse and b and c the opposite and adjacent sides.</span>