There are 2,475 books in total in the library.
1 answer:
You might be interested in
Answer:
the factors of f(x)=x^3+8x^2+5x-50 are (x-2)(x+5)(x+5)
Step-by-step explanation:
We need to factorise the function
If a number is a factor of this function than it must be completely divisible by last co-efficient. Our last co-efficient is -50
Checking few numbers:
So, f(2)=0 which means x-2 is a factor of the given function. Now we will perform long division of by (x-2) to find other factors
The long division is shown in figure attached.
After long division we get:
The equation can be further simplified as: (x+5)(x+5) or (x+5)^2
So, the factors of f(x)=x^3+8x^2+5x-50 are (x-2)(x+5)(x+5)
The measure of the exterior angle PNM will be x < 77. Then the correct option is C.
<h3>What is the triangle?</h3>A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
Triangle NPO is shown.
Line ON extends through point M to form exterior angle PNM.
Angle NPO is 38 degrees.
Angle PON is 39 degrees.
Let the exterior angle PNM is x degrees and the interior angle PYO be y.
Then we have
38 + 39 + y = 180°
y = 103°
And we know that the sum of interior and exterior angle is a triangle is 180 degrees.
x + y < 180
103 + x < 180
x < 77
Then the correct option is C.
More about the triangle link is given below.
#SPJ1
