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LenaWriter [7]
3 years ago
13

There are two formulae you can use to calculate the number of apple trees and the number of conifer

Mathematics
1 answer:
Leno4ka [110]3 years ago
5 0

9514 1404 393

Answer:

  n = 8

Step-by-step explanation:

"By inspection" is an appropriate method.

We are asked to compare the expressions

  n·n

  8·n

and find the value(s) of n that makes them equal. <em>By inspection</em>, we see that n=8 will make these expressions equal. We also know that both expressions will be zero when n=0.

__

More formally, we could write ...

  n^2 = 8n . . . . the two formulas give the same value

  n^2 -8n = 0 . . . . rearrange to standard form

  n(n -8) = 0 . . . . . factor

Using the zero product rule, we know the solutions will be the values of n that make the factors zero. Those values are ...

  n = 0 . . . . . makes the factor n = 0

  n = 8 . . . . . makes the factor (n-8) = 0

Generally, we're not interested in "trivial" solutions (n=0), so the only value of n that is of interest is n = 8.

__

A lot of times, I find a graphing calculator to be a quick and easy way to find function argument values that make expressions equal.

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Step-by-step explanation:

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3 years ago
Two and four tenths times a number minus three is greater than one and six tenths times the number minus four and one tenth
diamong [38]

Let's first turn all the words into numbers:

Two and four tenths = 2.4

One and six tenths = 1.6

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Now lets represent "a number" as x.

Then translate the wording into a linear equation:

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I need help combining like terms 2-x^3-4+3y+y+y+5
OLEGan [10]

Answer:

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Step-by-step explanation:

It helps to rewrite the given polynomial according to its degree (exponent), in <u>descending</u> order. Also, for variables without a coefficient, it helps to include "1" with it to make it less confusing when combining like terms.

- x³ + 3y + ( 1 )y + ( 1 )y + 5 + 2 - 4

One way to simplify a polynomial is to combine the like terms if there are any. Two or more terms in a polynomial are like terms if they have the same variable(s) with the same exponent.

- x³ is the only term with an exponent of 3, so we wouldn't have to combine it with other terms. We need to combine the terms with the variable "y," as they have the same degree of 1.

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Lastly, combine the constants (5 + 2 - 4):

- x³ + 5y + 3

Please mark my answers as the Brainliest if you find my explanations helpful :)

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