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:
Step-by-step explanation:
Vertex form of a quadratic equation is: y = a(x - h)² + k, where point (h, k) is the vertex
f(x) = 3(x - 2)² + 11
This is in vertex form, so the vertex is (2, 11)
*it's positive 2 because we are subtracting h in the equation, and we are subtracting positive 2 in our problem
This is found using the binomial distribution with P(H) = 1/2 and P(T) = 1/2 n = 15 and r = 10
= nCr(0.5)^(15-10)(0.5)^10
= 15C10 * 0.5^15 = 0.0916 or 9.16%
It is 50!But really does anyone here no about the calculator?!
Answer:
x=17
Step-by-step explanation:
7x+10+3×=180
10x+10=180
-10. -10
10x/10=170/10
x=17
