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3 years ago

How to determine if an equation is a function?

1 answer:

6 0

An equation is a function if its like x to the second power or in other words In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. An example is the function that relates each real number x to its square x2

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Carla has 58 pencils what is the value of the digit of in this number

myrzilka [38]

Which one five or eight?

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3 years ago

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Payday loans are very short-term loans that charge very high interest rates. You can borrow $500 today and repay $575 in two wee

Artyom0805 [142]

Answer:

3685.7%

Step-by-step explanation:

Please don't get mad if it's wrong.

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2 years ago

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Which function has the greatest rate of change on the interval from x = 3 pi over 2 to x = 2π?

vodka [1.7K]

The average rate of change for the function f(x) can be calculated from the following equation
$\frac{f( x_{2})-f( x_{1} )}{ x_{2} - x_{1} }$

By applying the last formula on the given equations
(1) the first function f
from the table f(3π/2) = -2 and f(2π) = 0
∴ The average rate of f = $\frac{f(2 \pi)-f( \frac{3 \pi}{2} )}{2 \pi - \frac{3 \pi}{2} } = \frac{0-(-2)}{ \frac{\pi}{2} }= \frac{2}{ \frac{\pi}{2} } = \frac{4}{\pi}$

(2) the second function g(x)
from the graph g(3π/2) = -2 and g(2π) = 0
∴ The average rate of g = $\frac{g(2 \pi)-g( \frac{3 \pi}{2} )}{2 
\pi - \frac{3 \pi}{2} } = \frac{0-(-2)}{ \frac{\pi}{2} }= \frac{2}{ 
\frac{\pi}{2} } = \frac{4}{\pi}$

(3) the third function h(x) = 6 sin x +1
∴ h(3π/2) = 6 sin (3π/2) + 1 = 6 *(-1) + 1 = -5
 h(2π) = 6 sin (2π) + 1 = 6 * 0 + 1 = 1
∴ The average rate of h = $\frac{f(2 \pi)-f( \frac{3 \pi}{2} )}{2 
\pi - \frac{3 \pi}{2} } = \frac{1-(-5)}{ \frac{\pi}{2} }= \frac{6}{ 
\frac{\pi}{2} } = \frac{12}{\pi}$

By comparing the results, The function which has the greatest rate of change is h(x)


So, the correct answer is option C) h(x)

4 0

3 years ago

If f(x) is a fifth degree polynomial, is it possible that it has exactly 5 complex roots?

Zolol [24]

No.

A fifth degree polynomial, having a graph that increases and starts from below x-axis.

Therefore, no matter what equation it is. The fifth degree polynomial will intercept x-axis AT LEAST one.

The fifth degree polynomial can have only at maximum, 4 complex roots.

You can try drawing or seeing the graph of fifth-degree polynomial function. No matter what equations, they still intercept at least one x-value.

4 0

2 years ago

Karinna's aquarium can hold 80 liters, which is equal to 80,000 cm'. The base measures 100 cm by 40

tresset_1 [31]

Answer:height=20cm

Step-by-step explanation:

Length=100cm

Breadth=40cm

Volume=80 liters which is equal to 80000cm^3

volume=length x breadth x height

80000=100 x 40 x height

80000=4000 x height

Divide both sides by 4000

80000/4000=(4000xheight)/4000

20=height

Height=20cm

7 0

2 years ago