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Airida [17]
2 years ago
11

A dolphin jumps from the water at an initial velocity of 16 feet per second. The equation h + -16t^2 + 80t models the dolphin's

height at any given time, t. What is the maximum height the dolphin jumps?
Mathematics
1 answer:
Dominik [7]2 years ago
3 0

Answer:

100feet

Step-by-step explanation:

Given the height reached by a dolphin expressed by the equation is h = -16t^2 + 80t. At maximum height, the velocity is zero, hence;

v(t) = dh/dt = -32t + 80

0 = -32t + 80

32t = 80

t = 80/32

t = 2.5secs

Substitute t = 2.5 into the height formula h = -16t^2 + 80t

h = -16(2.5)^2 + 80(2.5)

h = -100+200

h = 100feet

Hence  the maximum height the dolphin jumps is 100feet

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Irina18 [472]

Answer:

7,000

Step-by-step explanation:

The answer is 7,000 because when rounding to the greatest value you basically keep on number and round the others since the 498 is lower than 500 you would keep the 7 and turn the other's into 0's hence 7,000.

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noname [10]
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3 years ago
Could you please answer this precisely. Thank you!
OleMash [197]

The mathematical functions (equations) are matched to their graph line respectively as follows:

  • y = 960 - 78x: purple straight line.
  • y = 8·3^x: violet line curve that slopes to the left.
  • y = 960·(1/2)^x: green line curve that slopes to the right.

<h3>What is a linear function?</h3>

A linear function can be defined as a type of function whose equation is graphically represented by a straight line on the cartesian coordinate. Mathematically, a linear function is given by this equation:

y = mx ± c.

<h3>What is an exponential function?</h3>

An exponential function can be defined as a type of mathematical function whose values are generated by a constant that is raised to the power of the argument. Mathematically, an exponential function is represented by this formula:

f(x) = keˣ

Next, we would match each of the mathematical functions (equations) to their graph line respectively as follows:

  • y = 960 - 78x: purple straight line.
  • y = 8·3^x: violet line curve that slopes to the left.
  • y = 960·(1/2)^x: green line curve that slopes to the right.

Read more on graphs here: brainly.com/question/24298987

#SPJ1

3 0
1 year ago
Solve the radical equation x – 7 = square root of -4x+28. Which statement is true about the solutions to the radical equation? T
Julli [10]

Answer:

x = 3 and 7

There are two true solutions.

Step-by-step explanation:

To solve x-7 = \sqrt{-4x+28}, use inverse operations by squaring both sides of the equal sign.

(x-7)^2 = (\sqrt{-4x+28})^2\\x^2-14x+49 = -4x+28\\x^2-14x+4x+49-28 = 0\\x^2-10x+21=0

The quadratic expression can be factored into binomials and set equal to 0 by the zero product property to find x.

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x-3 = 0 so x=3

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7-7 = \sqrt{-4(7)+28}\\ 0=0

and

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3 0
3 years ago
The coordinates of the vertices of △JKL are J(3, 4), K(3, 1) , and L(1, 1) . The coordinates of the vertices of △J′K′L′ are J′(−
timurjin [86]

The <em><u>correct answer</u></em> is:

A 180° rotation followed by a translation 1 unit down.

Explanation:

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L(1, 1)→L'(-1, -2)

A 180° rotation maps a point (x, y) to (-x, -y).  This would map

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