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dimulka [17.4K]
2 years ago
14

H(t)=-16t^{2}+100t+10 find the domain and range. please

Mathematics
1 answer:
RSB [31]2 years ago
3 0

Answer:

Step-by-step explanation:

The graph of this function is that of a parabola that opens down (due to the negative coefficient of t^2).  The axis of symmetry is

        -b          -100

x = --------- = ----------- = 50/16 = 25/8.

        2a        2(-16)

The y value of the vertex is h(25/8) = -16(25/8)^2 + 100(25/8) + 10, or 166/25.

The largest value this function can take on is 166/25.  Thus, the range is

(-infinity, 166/25).

Since the given function is a polynomial, the domain consists of all real numbers.

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Answer:

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Step-by-step explanation:

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Answer:

y = -1

Step-by-step explanation:

The standard form of equation of a line is y = mx+b

m is the slope

b is the y intercept

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Make y the subject of the formula in both expressions

For 2x  - y = 9

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y = 2x - 9

Similarly for 3x - 7y = 19

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y = 3/7 x - 19/7

Equating both expressions

2x - 9 = 3/7 x - 19/7

Multiply through ny 7

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Since y =2x - 9

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y = 8-9

y = -1

Hence the coordinate of intersection is at (4, -1)

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Get the required equation

Recall that y = mx + b

y = 0x + (-1)

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Hence the required equation is y = -1

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Answer:

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Step-by-step explanation:

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