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2 years ago

1) Ms. Roth has 2 black skirts and 3 gray skirts. She chooses a skirt at random on Monday, wears it, puts

Mathematics

2 answers:

dimulka [17.4K]2 years ago

6 0

The answer is 2/5, I think

Ainat [17]2 years ago

5 0

Answer:

I think the answer would be ⅖

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What is lim x→3 x^2 - x - 6/ x - 3

Kisachek [45]

<h3>Answer: D) 5</h3>

=======================================================

Explanation:

If we plugged x = 3 into the expression, then we'd get x-3 = 3-3 = 0 in the denominator. That's not allowed. But we can simplify first

x^2-x-6 factors to (x-3)(x+2). The key here is that (x-3) is a factor. It cancels with the x-3 in the denominator

So, $\frac{x^2-x-6}{x-3} = \frac{(x-3)(x+2)}{x-3} = x+2$

Allowing us to say,

$\displaystyle \lim_{x \to 3}\frac{x^2-x-6}{x-3} = \lim_{x \to 3}\frac{(x-3)(x+2)}{x-3}\\\\\\\displaystyle \lim_{x \to 3}\frac{x^2-x-6}{x-3} = \lim_{x \to 3}(x+2)\\\\\\\displaystyle \lim_{x \to 3}\frac{x^2-x-6}{x-3} = 3+2\\\\\\\displaystyle \lim_{x \to 3}\frac{x^2-x-6}{x-3} = 5\\\\\\$

5 0

3 years ago

What is the value of x for log6(5x) + log6(2)=5

Igoryamba

$\bf \begin{array}{llll} \textit{logarithm of factors} \\\\ \log_a(xy)\implies \log_a(x)+\log_a(y) \end{array}~\hfill \begin{array}{llll} \textit{Logarithm Cancellation Rules} \\\\ log_a a^x = x\qquad \qquad \stackrel{\textit{we'll use this one}}{a^{log_a x}=x} \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \log_6(5x)+\log_6(2)=5\implies \log_6(5x\cdot 2)=5\implies \log_6(10x)=5 \\\\\\ 6^{ \log_6(10x)}=6^5\implies 10x=6^5\implies x = \cfrac{6^5}{10}\implies x = \cfrac{3888}{5}\implies x = 777.6$

8 0

3 years ago

If eight is added to four times a number the result is 96

Ilia_Sergeevich [38]

Answer:

Step-by-step explanation:

6 0

3 years ago

Evaluate the expression when c=2. 6c/2

marshall27 [118]

Answer:

Step-by-step explanation:

Given the expression g(c) = 6c/2, we are to find the value when c = 2

Substitute c = 2 into the expression

g(2) = 6(2)/2

g(2) = 12/2

g(2) = 6

<em>Hence the result when c = 2 is 6</em>

6 0

3 years ago

Which fractions are equievalent? a.20/5 b.-20/5 c.20/-5 d. -20/-5 e.- 20/5

pogonyaev

Answer:

D) -20/-5 because a negative divided by a negative is a positive.

Step-by-step explanation:

6 0

3 years ago