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Gwar [14]
3 years ago
11

How many pairs of whole numbers have a sum of 99

Mathematics
1 answer:
Fittoniya [83]3 years ago
8 0
10 or 4 I'm just guessing
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Please help me with these
Alex Ar [27]
When we approach limits, we are finding values that are infinitesimally approaching this x-value. Essentially, we consider the approximate location that this root or limit appears. This is essential when it comes to taking Calculus, and finding the limit or rate of change of a function.

When we are attempting limits questions, there are several tests we attempt first.

1. Evaluate the limit by substituting the value of the x-value as it approaches the value (direct evaluation of a limit)
2. Rearrangement of the function, such that we can evaluate the limit.
3. (TRIGONOMETRIC PROPERTIES)
\lim_{x \to 0} (\frac{sinx}{x}) = 1
\lim_{x \to 0} (\frac{tanx}{x}) = 1
4. Using L'Hopital's Rule for indeterminate limits, such as 0/0, -infinity/infinity, or infinity/infinity.

For example:

1) \lim_{x \to 0}\frac{\sqrt{x} - 5}{x - 25}

We can do this using the first and second method.
<em>Method 1: Direct evaluation:</em>

Substitute x = 0 to the function.
\frac{\sqrt{0} - 5}{0 - 25}
= \frac{-5}{-25}
= \frac{1}{5}

<em>Method 2: Rearranging the function
</em>

We can see that x - 25 can be rewritten as: (√x - 5)(√x + 5)
By rewriting it in this form, the top will cancel with the bottom easily, and our limit comes out the same.

\lim_{x \to 0}\frac{(\sqrt{x} - 5)}{(\sqrt{x} - 5)(\sqrt{x} + 5)}
= \lim_{x \to 0}\frac{1}{(\sqrt{x} + 5)}}
= \frac{1}{5}

Every example works exactly the same way, and by remembering these criteria, every limit question should come out pretty naturally.
8 0
3 years ago
What is the product 3x5(2x2+4x+1)
lesya692 [45]

Answer:

6x^7+12x^6+3x^5

Step-by-step explanation:

The given expression is:

3x^5(2x^2+4x+1)

We expand the parenthesis using the distributive property to obtain;

3x^5(2x^2)+3x^5(4x)+3x^5(1)

Recall that;

a^m\imes a^n=a^{m+n}

We apply this property and multiply out the constant terms to obtain;

6x^7+12x^6+3x^5

3 0
3 years ago
<img src="https://tex.z-dn.net/?f=-12%20%2B%20%2812%29" id="TexFormula1" title="-12 + (12)" alt="-12 + (12)" align="absmiddle" c
Harrizon [31]

Answer:

0

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Y = -8x2 + 665x – 5754
Burka [1]

Answer:

Is the -8x2 a -8x squared? Because the answer of this problem can be different.

Step-by-step explanation:

3 0
3 years ago
Juan bought fruit from the grocery store. The variables below define his purchase. Juan’s bananas cost half as much as apples. W
mixas84 [53]

Answer:

B = \frac{1}{2}A

A = 2B

Step-by-step explanation:

Given

Represent apple with A and Banana with B

Required

Determine the relationship between A and B

From the question, we understand that:

B costs half as much as A

This can be represented as:

B = \frac{1}{2} * A

B = \frac{1}{2}A

Multiply both sides by 2

2*B = \frac{1}{2}A*2

2B = A

A = 2B

4 0
3 years ago
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