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Fantom [35]
2 years ago
15

The tables represent the functions f(x) and g(x).

Mathematics
1 answer:
adell [148]2 years ago
4 0

Answer:

Step-by-step explanation:

it's - 6  Anasta  :)

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Simplify: cos2x-cos4 all over sin2x + sin 4x
GrogVix [38]

Answer:

\frac{\cos\left(2x\right)-\cos\left(4x\right)}{\sin\left(2x\right)+\sin\left(4x\right)}=\tan\left(x\right)

Step-by-step explanation:

\frac{\cos\left(2x\right)-\cos\left(4x\right)}{\sin\left(2x\right)+\sin\left(4x\right)}

Apply formula:

\cos\left(A\right)-\cos\left(B\right)=-2\cdot\sin\left(\frac{A+B}{2}\right)\cdot\sin\left(\frac{A-B}{2}\right) and

\sin\left(A\right)+\sin\left(B\right)=2\cdot\sin\left(\frac{A+B}{2}\right)\cdot\sin\left(\frac{A-B}{2}\right)

We get:

=\frac{-2\cdot\sin\left(\frac{2x+4x}{2}\right)\cdot\sin\left(\frac{2x-4x}{2}\right)}{2\cdot\sin\left(\frac{2x+4x}{2}\right)\cdot\cos\left(\frac{2x-4x}{2}\right)}

=\frac{-\sin\left(\frac{2x-4x}{2}\right)}{\cos\left(\frac{2x-4x}{2}\right)}

=\frac{-\sin\left(\frac{-2x}{2}\right)}{\cos\left(\frac{-2x}{2}\right)}

=\frac{-\sin\left(-x\right)}{\cos\left(-x\right)}

=\frac{-\cdot-\sin\left(x\right)}{\cos\left(x\right)}

=\frac{\sin\left(x\right)}{\cos\left(x\right)}

=\tan\left(x\right)

Hence final answer is

\frac{\cos\left(2x\right)-\cos\left(4x\right)}{\sin\left(2x\right)+\sin\left(4x\right)}=\tan\left(x\right)

6 0
2 years ago
What is a million times all the numbers in the world
kozerog [31]
Well, there isn’t really an end for numbers...

However; The biggest number referred to regularly is a googolplex (10googol), which works out as 1010^100. That isn’t the end to numbers but it is a huge one. We will replace that with ‘all the numbers in the world’.

106 is the exponent equivalent to 1 million

So your question would be:
106 x 1010^100 =

However I don’t believe there is a calculator that large.
7 0
3 years ago
What is<br> -1 5/6 - (-3 1/4) ?
lions [1.4K]

Answer:

1\frac{5}{12}

Step-by-step explanation:

Eliminating a negative and changing our operation

1\frac{5}{6} +3\frac{1}{4}

Rewriting our equation with parts separated

-1-\frac{5}{6} +3+\frac{1}{4}

Solving the whole number parts

-1+3=2

Solving the fraction parts

-\frac{5}{6} +\frac{1}{4} =[?]

Find the LCD of 5/6 and 1/4 and rewrite to solve with the equivalent fractions.

LCD = 12

-\frac{10}{12} +\frac{3}{12}=-\frac{7}{12}

Combining the whole and fraction parts

2-\frac{7}{12} =1\frac{5}{12}

[RevyBreeze]

8 0
2 years ago
Please help me solve this
andre [41]

Answer:

Step-by-step explanation:

This number is much larger than 1. You need to start at the decimal and move left (that's how scientific notation works for numbers larger than 1.)

So the answer is 1.0054 * 10 ^7

The person doing this started at the 1 and moved right until he/she hit the decimal. Wrong direction.

7 0
2 years ago
The tape diagram represents an equation.
elena-s [515]

Answer:1.75 = 5n

Step-by-step explanation:

5 0
3 years ago
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