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Dennis_Churaev [7]
3 years ago
11

Emma throws an object upward from a hill that is 64 feet high. The object has an initial velocity of 48 feet per second. The fun

ction y = -16x2 + 48x + 64 represents the height of the object, y, in terms of the time elapsed after the object is thrown, x.

Mathematics
2 answers:
sveta [45]3 years ago
8 0

Well, i know that a non linear function always has a number power greater than 1, and a linear function only has a number power 1 or less.

Hope this helps

stiks02 [169]3 years ago
3 0

Answer:

The correct options are B and D.

Step-by-step explanation:

Consider the provided function

y=-16x^2+48x+64

The provided function is a quadratic function.

A polynomial function with highest exponent equal to 1 is known as linear functions. Nonlinear functions are all other functions.

The provided function has the exponent 2 which is greater than 1.

Thus, the provided function is a nonlinear function.

Also, the rate of change of a quadratic function does not remain the same.

Therefore, the correct options are B and D.

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Dishwashers are on sale for 25% off the original price (d), which can be expressed with the function p(d) = 0.75d. Local taxes a
shutvik [7]

We are given the functions:

<span>P (d) = 0.75 d                                      ---> 1</span>

<span>C (P) = 1.14 P                                      ---> 2</span>

The problem asks us to find for the final price after discount and taxes applied; therefore we have to find the composite function of the two given functions 1 and 2. To solve for composite function of the final price of the dishwasher with the discount and taxes applied, all we have to do is to plug in the value of P (d) with variable d into the equation of C (P). That is:

C (P) = 1.14 (0.75 d)

C (P) = 0.855 d

or

<span>C [P (d)] = 0.855 d</span>

8 0
3 years ago
Which equation could represent "the area of a square as a function of a side"?
Ratling [72]
Let side = x
area = x^2
6 0
3 years ago
What is 32.043 in expanded form (decimal form)
Monica [59]
Oh this is it thrity two.three you welcome and let the answer go let it go
3 0
4 years ago
Zain bought ice cream and sherbet at the grocery store and is placing the containers in the freezer. The container of ice cream
lianna [129]

Answer:

102 in^3.

Step-by-step explanation:

Volume of the  ice cream container = 10*14*12 = 1680 in^3.

Volume of the  sherbet container = 11*18^9 = 1782 in^3.

So the answer is 1782 - 1680

= 102 in^3.

7 0
3 years ago
In a lab experiment, 80 bacteria are placed in a petri dish. The conditions are such that the number of bacteria is able to doub
Effectus [21]

Answer:

The hourly growth rate is of 4.43%.

The function showing the number of bacteria after t hours is P(t) = 80(1.0443)^t

Step-by-step explanation:

Equation of population growth:

The equation for the population after t hours is given by:

P(t) = P(0)(1+r)^t

In which P(0) is the initial population and r is the growth rate, as a decimal.

The conditions are such that the number of bacteria is able to double every 16 hours.

This means that P(16) = 2P(0). We use this to find r.

P(t) = P(0)(1+r)^t

2P(0) = P(0)(1+r)^{16}

(1+r)^{16} = 2

\sqrt[16]{(1+r)^{16}} = \sqrt[16]{2}

1 + r = 2^{\frac{1}{16}}

1 + r = 1.0443

r = 1.0443 - 1

r = 0.0443

The hourly growth rate is of 4.43%.

80 bacteria are placed in a petri dish.

This means that P(0) = 80.

P(t) = P(0)(1+r)^t

P(t) = 80(1+0.0443)^t

P(t) = 80(1.0443)^t

The function showing the number of bacteria after t hours is P(t) = 80(1.0443)^t

6 0
3 years ago
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