Answer:
see explanation
Step-by-step explanation:
The equation of a parabola in vertex form is
f(x) = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
f(x) = 2(x - 3)² - 4 ← is in vertex form
with (h, k) = (3, - 4), thus
1 the vertex is (3, - 4 )
Consider the value of a
• If a > 0 then graph opens up and is a minimum
• If a < 0 then graph opens down and is a maximum
2 Here a = 2 thus the graph opens up
The max/ min value of the function is the y- coordinate of the vertex, thus
3 The function has a minimum value of - 4
Answer:
B: 4 solutions
Step-by-step explanation:
Combining the two equations results in 2x² = 52, or x² = 26.
This equation has two solutions: x = ±√26.
As before, x² = 26. If we substitute 26 for x² in the 1st equation, we get:
26 - 4y² = 16, or 4y² = 10, or y = ±√5/2. Again: two solutions.
If we take x to be +√26, y could be ±√(5/2).
Check: is ( √26, √(5/2) ) a solution of the system?
Subbing these values into the first equation, we get:
26 - 4(5/2) = 16. Is this true?
Then 10 = 10. Yes.
Through three more checks, we find that this system has FOUR solutions.
The answer for this will be
2a(1-2a ²+3bc)
Answer:
16.666
Step-by-step explanation:
divid 200 by 12
Answer:
1/2
Step-by-step explanation:
(1/16)^x
Let x = 1/4
(1/16)^ 1/4
Rewriting 16 as 2^4
(1/2^4)^ 1/4
We know that 1 / a^b = a^-b
(2 ^ -4)^ 1/4
We know that a^b^c = a^(b*c)
2^(-4*1/4)
2^-1
We know that a^-b = 1/ a^b
2^-1 = 1/2^1 = 1/2
