Answer:
(x + 3)(2x + 5)
Step-by-step explanation:
Given
2x² + 11x + 15
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 2 × 15 = 30 and sum = + 11
The factors are + 6 and + 5
Use these factors to split the x- term
2x² + 6x + 5x + 15 ( factor the first/second and third/fourth terms )
= 2x(x + 3) + 5(x + 3) ← factor out (x + 3) from each term
= (x + 3)(2x + 5)
-8 ft
(I don't know what you were asking sorry)
The ball takes 6 seconds to reach the ground.
<u><em>Explanation</em></u>
Height of the ball after
seconds is represented by....
![f(x)= -16(x^2 -5x-6)](https://tex.z-dn.net/?f=f%28x%29%3D%20-16%28x%5E2%20-5x-6%29)
The height of the ball is 0 feet when it hits the ground. So, for finding the number of second the ball takes to reach the ground, <u>we will just plug
into the above equation and then solve for
.</u>
Thus...
![0=-16(x^2-5x-6)\\ \\ x^2-5x-6=0\\ \\ (x-6)(x+1)=0](https://tex.z-dn.net/?f=0%3D-16%28x%5E2-5x-6%29%5C%5C%20%5C%5C%20x%5E2-5x-6%3D0%5C%5C%20%5C%5C%20%28x-6%29%28x%2B1%29%3D0)
Using zero-product property....
![x-6=0\\ x=6](https://tex.z-dn.net/?f=x-6%3D0%5C%5C%20x%3D6)
and
(Negative value is ignored as time can't be negative)
So, the ball takes 6 seconds to reach the ground.
Answer: Are you ok?
Step-by-step explanation:
Answer:
1150
Step-by-step explanation:
a2=a1+d
d=4
sn=(n/2)(2a1+(n-1)d)
s25=(25/2)(2×(-2)+24×4)=25×46=
1150