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Alexandra [31]
2 years ago
13

4. At which point does the function y = -x² + 6x - 5 reach its maximum value?

Mathematics
1 answer:
fenix001 [56]2 years ago
5 0

Answer:

(3,4)

Step-by-step explanation:

Hello!

To find the maximum value, we can find the vertex of the graph.

Since the coefficient of x² is negative, the graph opens downwards, meaning that the vertex would be the highest point.

To solve for the vertex, we can convert it to vertex form.

<h3>Convert</h3>
  • y = -x² + 6x - 5
  • y = -1(x² - 6x) - 5
  • y = -1(x² - 6x + 9) - 5 + 9
  • y = -1(x - 3)² + 4

The vertex is (3,4)

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maxonik [38]

We can let x and y represent cups of lemonade and numbers of lemon bars, respectively. Then the constraints are ...

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A graph is shown in the attachment, with the ordered pairs plotted. It is not feasible to sell half cups of lemonade or half lemon bars, so the second and third choices must be excluded. The point (160, 110) falls outside the feasible region, so is not a correct choice.

The correct choices are ...

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3 years ago
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PSYCHO15rus [73]

A) 2 2/9

The answer would of course be positive because two negatives make a positive.

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6 0
3 years ago
What are the x-intercepts of y=x^2+2x-15
Sedbober [7]

Answer:

(-5,0) and (3,0)

Step-by-step explanation:

Think about it.

What two numbers multiply to -15 and add up to 2?

The answers are 5 and -3.

So plug that into the factored form of a parabola.

y=(x+5)(x-3)

To find the x-intercepts, plug in 0 for y.

(x+5)(x-3)=0

Since we are multiplying, at least one of the terms has to equal 0.

x+5=0 \\ x-3=0 \\ \\ x=-5,3

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Step-by-step explanation:

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