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4 years ago

2. Consider the following graph of a quadratic function.

Mathematics

1 answer:

Stella [2.4K]4 years ago

5 0

Answer:

see the procedure

Step-by-step explanation:

Looking at the graph we have

The graph represent a vertical parabola open upward

The vertex is a minimum

The vertex is the point (-4,-3)

The domain is the interval -----> (-∞,∞)

The Domain is all real numbers

The range is the interval ----> [-3,∞)

$y\geq -3$

The range is all real numbers greater than or equal to -3

The graph is increasing in the interval (-4,∞)

The graph is decreasing in the interval (-∞,-4)

The minimum of the graph is y=-3 occurs at x=-4

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The net of a rectangular prism as shown in the diagram below what is the total surface area of the rectangle prism in square inc

goldenfox [79]

Answer:

b. 278 sq. in.

Step-by-step explanation:

i passed pre-algebra ik what i'm talking about

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3 years ago

The gym teacher has $250 to spend on volleyball equipment. She buys 4 volleyball nets for $28 each. Volleyballs cost $7 each. Ho

pav-90 [236]

Answer:

The maximum number of volleyballs that she can buy is 19

Step-by-step explanation:

Let

x ----> the number of volleyballs

we know that

The cost of each volleyball net ($28) by the number of volleyball nets (4) plus the cost of each volleyball ($7) multiplied by the number of volleyballs (x) must be less than or equal to $250

The inequality that represent this situation is

$28(4)+7x\leq 250$

Solve for x

$112+7x\leq 250$

subtract 112 both sides

$7x\leq 250-112$

$7x\leq 138$

Divide by 7 both sides

$x\leq 19.7$

therefore

The maximum number of volleyballs that she can buy is 19

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3 years ago

An open box with a square base is to have a volume of 18 ft^3.

kotegsom [21]

Answer:

2.29 ft of side length and 1.14 height

Step-by-step explanation:

a) Volume V = x2h, where x is side of square base and h is hite.

Then surface area S = x2 + 4xh because box is open.

b) From V = x2h = 6 we have h = 6/x2.

Substitude in formula for surface area: S = x2 + 4x·6/x2, S = x2 + 24/x.

We get S as function of one variable x. To get minimum we have to find derivative S' = 2x - 24/x2 = 0, from here 2x3 - 24 = 0, x3 = 12, x = (12)1/3 ≅ 2.29 ft.

Then h = 6/(12)2/3 = (12)1/3/2 ≅ 1.14 ft.

To prove that we have minimum let get second derivative: S'' = 2 + 48/x3, S''(121/3) = 2 + 48/12 = 6 > 0.

And because by second derivative test we have minimum: Smin = (12)2/3 + 4(12)1/3(12)1/3/2 = 3(12)2/3 ≅ 15.72 ft2

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3 years ago

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masha68 [24]

Answer:

Step-by-step explanation:

23550=15000(1+.0475t)

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3 years ago

What term is used to describe a systematic repayment of a loan through a set number of payments at a specific rate?

Elden [556K]

Answer:

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Step-by-step explanation:

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4 years ago

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