2 years ago

5+7k>=-30 and -4k +4>20

Mathematics

1 answer:

Slav-nsk [51]2 years ago

7 0

Answer:

$\large\boxed{-5\leq k$

Step-by-step explanation:

$5+7k\geq-30\ \wedge\ -4k+4>20\\\\5+7k\geq-30\qquad\text{subtract 5 from both sides}\\7k\geq-35\qquad\text{divide both sides by 7}\\\boxed{k\geq-5}\\\\-4k+4>20\qquad\text{subtract 4 from both sides}\\-4k>16\qquad\text{change the signs}\\4k$

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PLEASE PLEASEE ANSWER THE QUESTION IN THE PICTURE BELOW

KatRina [158]

Answer: Choice C

Vertex = (5, -2)

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Explanation:

Vertex form is $y = a(x-h)^2 + k$ where the vertex itself is located at (h,k)

As the name implies, we can very quickly pull out the coordinates of the vertex without doing much math at all.

In the case of choice C, we have $y= \frac{1}{2}(x-5)^2 - 2$ which is the same as $y = \frac{1}{2}(x-5)^2 + (-2)$ and we can see that h = 5 and k = -2. Therefore, the vertex is located at (h,k) = (5, -2)