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)
Less then jake
have a great day!!!
Answer: 72*x+12*y-(60)=0
72x + 12y - 60 = 12 • (6x + y - 5)
12 = 0
Step-by-step explanation:
Answer:
k = -5
Step-by-step explanation:
The function f(x) passes through the points (-4,0) and (-2,2).
Therefore, the equation of the straight line is given by
⇒ 
⇒ y = x + 4
⇒ f(x) = x + 4 ......... (1)
Now, g(x) passes through the points (-4,0) and (-2,-10).
Then the equation will be
⇒ 
⇒ y = - 5x - 20 = - 5 (x + 4)
⇒ g(x) = -5 (x + 4) ....... (2)
Therefore, from equations (1) and (2) we get k = -5 (Answer)
Answer:
0.1
Step-by-step explanation:
anything after the decimal (.) becomes a sogfig
