Answer:
x=-7
Step-by-step explanation:
xe^-x+7e^-x=0
factor out the e^-x
e^-x(x+7)=0
e^-x=0, x+7=0
-x=ln(0), x=0-7=-7,
since ln(0) is undefined,
the only solution is -7.
Answer:
Below in bold.
Step-by-step explanation:
A. −16x2 + 24x + 16 = 0
-8(2x2 - 3x - 2) = 0
-8(2x + 1 )(x - 2) = 0
x = -0.5, 2.
So the x-intercepts are (-0/5, 0) and (2, 0).
B. As the leading coefficients is negative (-16) the vertex of the graph will be a Maximum.
To find its coordinates we convert the function to vertex form:
f(x) = −16x2 + 24x + 16
= -16(x^2 - 1.5x) + 16
Completing the square on contents of the parentheses:
= -16 [(x - 0.75)^2 - 0.75^2] + 16
= -16(x - 0.75)^2 - 16 * -0.75^2 + 16
= -16(x - 0.75)^2 + 9 + 16
= -16(x - 0.75)^2 + 25.
So the coordinates of the vertex are (0.75, 25)
Answer:C
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
3(x-2)
Replace x as 12
3(12-2)
3(10)
3 times 10
30
Answer: B
Step-by-step explanation:
I got it right on Edge
