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tankabanditka [31]
3 years ago
14

Lim. √2x -√3x-a/√x-√ax approaches a​

Mathematics
1 answer:
Ludmilka [50]3 years ago
3 0

Answer: \sqrt{2}a-\sqrt{3}a-2\sqrt{a}

Step-by-step explanation:

\lim _{x\to \:a}\left(\sqrt{2}x-\sqrt{3}x-\frac{a}{\sqrt{x}}-\sqrt{a}\right)

=\sqrt{2}a-\sqrt{3}a-\frac{a}{\sqrt{a}}-\sqrt{a}

=\sqrt{2}a-\sqrt{3}a-2\sqrt{a}

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Find the interquartile range (IQR) of the data in the dot plot below.​
kolbaska11 [484]

Answer:

<em>(IQR) interquartile range: 12 - 9 = 3</em>

Step-by-step explanation:

Median: 10

Lower quartile: 9

Upper quartile: 12

Interquartile Range: 12 - 9 = 3

5 0
3 years ago
Write the equation in slope-intercept form of the line that has a slope of 2 and contains
mina [271]

Equation in slope-intercept form is y = 2x - 6

Step-by-step explanation:

  • Step 1: Given slope of the line, m = 2. Form an equation y = mx + b

⇒ y = 2x + b ---- (1)

  • Step 2: The line passes through the point (4,2). So it will satisfy the equation. Find b by substituting x = 4 and y = 2.

⇒ 2 = 2 × 4 + b = 8 + b

⇒ b = -6

  • Step 3: Form the slope-intercept equation.

⇒ y = 2x - 6

8 0
3 years ago
A box plot is known as a box-and-mustache plot?<br> <br><br>True<br>or <br>False<br>??
vladimir1956 [14]
This will be false a box plot is also known as quantile plots
6 0
3 years ago
Read 2 more answers
Select from the drop-down menus to correctly complete the sentence. The probability of a compound event is a number between 1.__
scoray [572]
The probability of any event is between 0 and 1. 0 means impossible and 1 means certain.

It could also be written with the percents: 0% and 100%.
5 0
3 years ago
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16 plus 5 times a number is more than the number minus 8. Write an inequality and solve it
Radda [10]

n > -6 is the inequality for 16 plus 5 times a number is more than the number minus 8

<em><u>Solution:</u></em>

Given statement is:

16 plus 5 times a number is more than the number minus 8

We have to write a inequality

From given statement,

16 plus 5 times a number is more than the number minus 8

Let the number be "n"

Therefore,

16 plus 5 times "n" is more than "n" minus 8

Here, "plus" means addition and "minus" means subtraction and "times" means multiplication

Thus the statement is translated into inequality as:

16 + 5n >n-8

Simplify the inequality

16 + 5n >n-8\\\\\mathrm{Subtract\:}16\mathrm{\:from\:both\:sides}\\\\16 + 5n -16 > n - 8 -16\\\\5n >n-24\\\\\mathrm{Subtract\:}n\mathrm{\:from\:both\:sides}\\\\5n-n>n-24-n\\\\\mathrm{Simplify}\\\\4n>-24\\\\\mathrm{Divide\:both\:sides\:by\:}4\\\\\frac{4n}{4}>\frac{-24}{4}\\\\n>-6

Thus the soultion is n > -6

8 0
3 years ago
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