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:
13600
Step-by-step explanation:
Số tiền đã được giảm là : 16000 x 15% = 2400 Rs
Giá bán của chiếc TV là : 16000-2400= 13600 Rs
Answer:
solved graphically,
it's just the point where the two lines intersect
No no need to take out the 2
You can factor this by using the ac method
2x^2 + 3x - 5 = 0
multiplying the first and last coefficients 2 * -5 = -10
Now we want to get 2 factors of -10 which will give us +3 when added:-
+5 and -2 seem ok so we write:-
2x^2 - 2x + 5x - 5 = 0
2x(x - 1) + 5 (x - 1) =0
(2x + 5)(x - 1) = 0
Solution is x = -5/2 and x = 1
Answer:
decimal: 0.4166666666...
fraction: 15/36 (simplified: 5/12)
Step-by-step explanation: