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borishaifa [10]
3 years ago
10

Which values are solutions to the any quality below check all that apply

Mathematics
1 answer:
Yuri [45]3 years ago
3 0

Answer:

B, C, E, F

Step-by-step explanation:

x^2 >= 49

A. 6: 6^2 = 36 No

B. 20: 20^2 = 400 Yes

C. -7: (-7)^2 = 49 Yes

D. -5: (-5)^2 = 25 No

E. -16: (-16)^2 = 256 Yes

F. 7: 7^2 = 49 Yes

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The coordinates of the turning point of the parabola whose equation is y = x2 — 6x + 8 are A. (3, 35) C. (-3, 35) B. (-3, —1) D.
quester [9]

Answer:

D. (3. —1)

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

f(x) = ax^{2} + bx + c

It's vertex is the point (x_{v}, y_{v})

In which

x_{v} = -\frac{b}{2a}

y_{v} = -\frac{\Delta}{4a}

Where

\Delta = b^2-4ac

If a<0, the vertex is a maximum point, that is, the maximum value happens at x_{v}, and it's value is y_{v}.

Turning point of a quadratic function:

The turning point of a quadratic function is the vertex.

y = x2 — 6x + 8

This means that a = 1, b = -6, c = 8

Now, we find the vertex.

x_{v} = -\frac{b}{2a} = -\frac{-6}{2(1)} = 3

\Delta = b^2-4ac = (-6)^2-4(1)(8) = 36 - 32 = 4

y_{v} = -\frac{4}{4(-1)} = -1

(x,y) = (3,-1), and the correct answer is given by option D.

6 0
3 years ago
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vladimir2022 [97]

Answer: c

Step-by-step explanation:

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