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)
Convert the mixed numbers to improper fractions then find the LCD and combine.
exact form: 8/3
decimal form: 2.6
mixed number form: 2 2/3
x 55
-------- = ---------
69.50 100
69.50*55= 3822.5
3822.5/100= 38.225
x=$38.22
please give brainliest
Let's solve your equation step-by-step.
x2+x=12
Step 1: Subtract 12 from both sides.
x2+x−12=12−12
x2+x−12=0
Step 2: Factor left side of equation.
(x−3)(x+4)=0
Step 3: Set factors equal to 0.
x−3=0 or x+4=0
x=3 or x=−4
Answer:
x=3 or x=−4
