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morpeh [17]
3 years ago
13

Please answer this question, we have a test on it tomorrow. I will probably be posting more.... I will mark brainiest IF you get

it correct first.

Mathematics
1 answer:
yKpoI14uk [10]3 years ago
6 0
The answer is in the picture

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The product of five and a number plus 10 is at least thirty
inna [77]

Answer: Greater of equal sign

Step-by-step explanation:

5+10+x is greater than or equal to 30 ( use the greater of equal to sign)

7 0
3 years ago
Evaluate the following limit:
Makovka662 [10]

If we evaluate the function at infinity, we can immediately see that:

        \large\displaystyle\text{$\begin{gathered}\sf \bf{\displaystyle L = \lim_{x \to \infty}{\frac{(x^2 + 1)^2 - 3x^2 + 3}{x^3 - 5}} = \frac{\infty}{\infty}} \end{gathered}$}

Therefore, we must perform an algebraic manipulation in order to get rid of the indeterminacy.

We can solve this limit in two ways.

<h3>Way 1:</h3>

By comparison of infinities:

We first expand the binomial squared, so we get

                         \large\displaystyle\text{$\begin{gathered}\sf \displaystyle L = \lim_{x \to \infty}{\frac{x^4 - x^2 + 4}{x^3 - 5}} = \infty \end{gathered}$}

Note that in the numerator we get x⁴ while in the denominator we get x³ as the highest degree terms. Therefore, the degree of the numerator is greater and the limit will be \infty. Recall that when the degree of the numerator is greater, then the limit is \infty if the terms of greater degree have the same sign.

<h3>Way 2</h3>

Dividing numerator and denominator by the term of highest degree:

                            \large\displaystyle\text{$\begin{gathered}\sf L  = \lim_{x \to \infty}\frac{x^{4}-x^{2} +4  }{x^{3}-5  }  \end{gathered}$}\\

                                \ \  = \lim_{x \to \infty\frac{\frac{x^{4}  }{x^{4} }-\frac{x^{2} }{x^{4}}+\frac{4}{x^{4} }    }{\frac{x^{3} }{x^{4}}-\frac{5}{x^{4}}   }  }

                                \large\displaystyle\text{$\begin{gathered}\sf \bf{=\lim_{x \to \infty}\frac{1-\frac{1}{x^{2} } +\frac{4}{x^{4} }  }{\frac{1}{x}-\frac{5}{x^{4} }  }  \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ =\frac{1}{0}=\infty } \end{gathered}$}

Note that, in general, 1/0 is an indeterminate form. However, we are computing a limit when x →∞, and both the numerator and denominator are positive as x grows, so we can conclude that the limit will be ∞.

5 0
2 years ago
5x5x5x5x6x7x8x8x9x9x9x9x9x9x10x12x13x14x15x16x17x18x19x20<br><br> WHAT DOES THIS EQUAL
trapecia [35]

Answer:

5.441683e+23

Step-by-step explanation:

Hope it helped brainiest plz

5 0
2 years ago
Read 2 more answers
How are lines best fit and other trend lines used with scatter plots?
skad [1K]
- Line<span> of </span>Best Fit<span>. A </span>line<span> of </span>best fit<span> (or "</span>trend<span>" </span>line<span>) is a straight </span>line<span> that </span>best<span> represents the data on a </span>scatter plot<span>. This </span>line<span> may pass through some of the points, none of the points, or all of the points.</span>
6 0
3 years ago
Directions: Check for solution
KATRIN_1 [288]

Answer:

1. d=1     2. Y=6

Step-by-step explanation:

7 0
3 years ago
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