Answer:
f(x) = 4x^2 + 2x - 4.
Step-by-step explanation:
Let the quadratic function be y = f(x) = ax^2 + bx + c.
For the point (-2, 8) ( x = -2 when y = 8) we have:
a(-2)^2 + (-2)b + c = 8
4a - 2b + c = 8 For (0, -4) we have:
0 + 0 + c = -4 so c = -4. For (4, 68) we have:
16a + 4b + c = 68
So we have 2 systems of equations in a and b ( plugging in c = -4):
4a - 2b - 4 = 8
16a + 4b - 4 = 68
4a - 2b = 12
16a + 4b = 72 Multiplying 4a - 2b = 12 by 2 we get:
8a - 4b = 24
Adding the last 2 equations:
24a = 96
a = 4
Now plugging a = 4 and c = -4 in the first equation:
4(4) - 2b - 4 = 8
-2b = 8 - 16 + 4 = -4
b = 2.
Answer:
Step-by-step explanation:
That means that the given expressions are equal.
100 - 2.5x = 100 + 2.5(5 - x)
100 - 2.5x = 100 + 12.5 - 2.5x
There is no solution to this.
(100)= 0.25*100=15 times.
<span>SO, the train will be late 15 times in 100 days.
Hope i helped:P </span>
Answer:
b 3.13
Step-by-step explanation:
did this beofer
The answer
the question is not very clear,
its complement may be <span>Which is equivalent to 16 ^ 3/4x?
-4√16^3x
-4√16^3
-3√16^4x
-3√16^4
perhaps the </span>16 3/4x should be written as [16 ^ 3] / 4x, or 16 ^ (3 / 4x)
or - [16 ^ (3 / 4)] x
If the question is [16 ^ 3] / 4x, then none of the choices is equivalent to this
if the question is 16 ^ (3 / 4x), it is equivalent to 4x-th root of 16^3
so if the question is - [16 ^ (3 / 4)] x
so - [16 ^ (3 / 4)] x =( - 4√16^3)x it is 4th root of 16^3 times x
so the choice is -4√16^3x
