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Natasha2012 [34]
3 years ago
11

A particular number was divided by 6 qnd then 5 was taken away from the quotient. Finally, the difference was mutiplird by 2. Gi

ven the product was -12, what was the number?
Mathematics
1 answer:
Nitella [24]3 years ago
6 0
N is the number
divided by 6 then n/6
5 was taken away so (n/6)-5
the result is multiplied by 2 so 2((n/6)-5)
result is -12

-12=2((n/6)-5)
divide both sides by 2
-6=(n/6)-5
add 5
-1=n/6
times 6
-6=n
da number was -6
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Rationalize the numerator or denominator, and simplify:
allochka39001 [22]
\dfrac{\sqrt[3]{x+h}-\sqrt[3]x}h\times\dfrac{\sqrt[3]{(x+h)^2}+\sqrt[3]{x(x+h)}+\sqrt[3]{x^2}}{\sqrt[3]{(x+h)^2}+\sqrt[3]{x(x+h)}+\sqrt[3]{x^2}}=\dfrac{(\sqrt[3]{x+h})^3-(\sqrt[3]x)^3}\cdots
=\dfrac{x+h-x}\cdots=\dfrac h\cdots

The hs then cancel, leaving you with the \cdots=\sqrt[3]{(x+h)^2}+\sqrt[3]{x(x+h)}+\sqrt[3]{x^2} term.

If it's not clear what I did above, consider the substitution a=\sqrt[3]{x+h} and b=\sqrt[3]x. Then

a^3-b^3=(a-b)(a^2+ab+b^2)
\implies\dfrac{a-b}h=\dfrac{a-b}h\times\dfrac{a^2+ab+b^2}{a^2+ab+b^2}=\dfrac{a^3-b^3}{h(a^2+ab+b^2)}
4 0
3 years ago
<img src="https://tex.z-dn.net/?f=3%2F5%20of%205%2F9%5C%5C" id="TexFormula1" title="3/5 of 5/9\\" alt="3/5 of 5/9\\" align="absm
pychu [463]

Answer:

<u>⅓</u>

<h2>Step-by-step explanation:</h2>

\frac{5}{9}  \times  \frac{3}{5}

=  \frac{1}{3}  \times  \frac{1}{1}

=  \frac{1}{3}

<h2>Checking:</h2>

\frac{1}{3}  \div  \frac{3}{5}

=  \frac{1}{3}  \times  \frac{5}{3}

=  \frac{5}{9}

#CarryOnLearning

8 0
3 years ago
Read 2 more answers
three trigonometric functions for a given angle are shown below csc theta = 13/12, sec theta = -13/5, cot theta = -5/12 what are
goldenfox [79]
We have that
csc ∅=13/12
sec ∅=-13/5
cot ∅=-5/12

we know that
csc ∅=1/sin ∅
sin ∅=1/ csc ∅------> sin ∅=12/13

sec ∅=-13/5
sec ∅=1/cos ∅
cos ∅=1/sec ∅------> cos ∅=-5/13

sin ∅ is positive and cos ∅ is negative
so
∅ belong to the II quadrant

therefore
<span>the coordinates of point (x,y) on the terminal ray of angle theta are
</span>x=-5
y=12

the answer is
point (-5,12)

see the attached figure

6 0
3 years ago
Read 2 more answers
How do you graph y=12/x
Tpy6a [65]

Answer: \frac{12}{x} is an asymptote

Step-by-step explanation:

Apply a table, and plug in values of x into the equation.  For example f(2)=\frac{12}{2} =6. That's one of the points on the graph that we just found (2,6)

7 0
1 year ago
Need help with question 5) &amp; 6)<br> TIA☺️
mart [117]

Answer:

5.

1. a

2.d

3.b

4.e

5.c

Step-by-step explanation:

can't do question 6 though, sorry about that

7 0
3 years ago
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