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3 years ago

It always seems to rain on the day after July 4th.

Mathematics

1 answer:

Rina8888 [55]3 years ago

7 0

Answer:

The inductive reasoning is based on A: a limited number of observations

Step-by-step explanation:

Let's say you lived until 90 years old, and took a observation on July 4th each year. Even if you lived until 90 years old, you would only have 90 observations. And inductive reasoning allows for statements to be false, so any of the 90 observations that you took can be proven false. So really, you would have only 90 observations, with any of them that could be false. A limited number of observations would be the only thing that you could base this reasoning off of.

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The polynomial function y = x3 -3x2 + 16x - 48 has only one non-repeated x-intercept. What do you know about the complex zeros o

earnstyle [38]

• First way to solve:
We'll manipulate the expression of the equation:

$y=x^3-3x^2+16x-48\\\\ y=x^2(x-3)+16(x-3)\\\\ y=(x-3)(x^2+16)$

If we have y=0:

$x-3=0~~~or~~~x^2+16=0\\\\ x=3~~~or~~~x^2=-16\\\\ x=3~~~or~~~x=\pm\sqrt{-16}\\\\ x=3~~~or~~~x=\pm4i$

Then, the function has one real zero (x=3) and two imaginary zeros (4i and -4i).

Answer: B

• Second way to solve:

The degree of the function is 3. So, the function has 3 complex zeros.

Since the coefficients of the function are reals, the imaginary roots are in a even number (a imaginary number and its conjugated)

The function "has only one non-repeated x-intercept", then there is only one real zero.

The number of zeros is 3 and there is 1 real zero. So, there are 2 imaginary zeros.

Answer: B.

3 0

3 years ago

Expand and simplify x(x + 1)(x + 2)

zimovet [89]

Answer:

$x^3$ + 3 $x^2$ + 2x

Step-by-step explanation:

x(x^2 + x + 2x + 2)

x ( x^2 + 3x + 2)

$x^3$ + 3 $x^2$ + 2x

6 0

3 years ago

SOMEBODY PLEASE FAST HELP!! (view photo, math related)

charle [14.2K]

That stuff ain’t written right email your teacher

4 0

3 years ago

How much would it be if 2 1/4 is tripled

Tcecarenko [31]

If you mean added together 3 times then it would be 6 3/4 and just in case this sounds rude I do not want it to be.

4 0

3 years ago

Computer towers purchased for $30900 depreciates at a constant rate of 12.6% per year. Write the function that models the value

Paha777 [63]

Answer: the computer towers will be worth $10521 after 8 years

Step-by-step explanation:

We would apply the formula for exponential decay which is expressed as

A = P(1 - r)^t

Where

A represents the value of the computer towers after t years.

t represents the number of years.

P represents the initial value of the computer towers.

r represents rate of decay.

From the information given,

P = $30900

r = 12.6% = 12.6/100 = 0.126

Therefore, the function that models the value of the computer towers after (t)years from now is

A = 30900(1 - 0.126)^t

A = 30900(0.874)^t

Therefore, when t = 8 years, then

A = 30900(0.874)^8

A = $10521

6 0

3 years ago