Answer:
2
Step-by-step explanation:
rate of change = (y2-y1)/(x2-x1)
(20-26)/(5-8)
-6/-3 = 2
=7x-x^2>8
0=7x-x^2-8
0= -x^2 + 7x -8
0=(x^2 + 8x)-(x - 8)
0=x(x + 8)-1(x +8)
0=(x-1) 0=(x+8)
x=1 x= -8
Answer:
Option A is correct.
Solution for the given equation is, 
Step-by-step explanation:
Given that : 
Let 
then our equation become;
.....[1]
A quadratic equation is of the form:
.....[2] where a, b and c are coefficient and the solution is given by;
Comparing equation [1] and [2] we get;
a = 2 b = -1 and c =-1
then;
Simplify:
or
or
and 
Simplify:
y = 1 and 
Substitute y = cos x we have;
⇒
and
⇒ 
The solution set: 
Therefore, the solution for the given equation is, 
Answer:
Step-by-step explanation:
Unless we set x^2 + 8x + 15 equal to zero, we don't have an equation to be solved. I will assume that the problem is actually x^2 + 8x + 15 = 0.
The coefficients of this quadratic are {1, 8, 15}, and so the "discriminant" b^2 - 4ac is (8)^2 - 4(1)(15), or 4. Because the discriminant is positive, we know that there are two real, unequal roots.
Continuing with the quadratic formula and knowing that the discriminant is 4, we get:
-8 ± √4 -8 ± 2
x = ---------------- = --------------- , or x = -2 ± 1: x = -3 and x = -5
2 2
