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2 years ago

1 and 2 i get them but 3-6 i don't get it

Mathematics

1 answer:

katovenus [111]2 years ago

5 0

3) will be a horizontal line just forever stretching across the 7 y value never straying

4) will be a vertical line just forever stretching across the 1 x value never straying

5 & 6 are the ones I don't understand

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three times the lesser of two consecutive even integers is 6 less than six times the greatest number. find the integers.

kakasveta [241]

3x-6=6(x+2) 3x-6=6x+12 3x-6x=6+12 -3x=18 X= 18/-3 X= -6 first number . For second number you substitute x+2. -6+2=-4

3 0

2 years ago

Show tan(???? − ????) = tan(????)−tan(????) / 1+tan(????) tan(????)<br> .

anyanavicka [17]

Answer:

See the proof below

Step-by-step explanation:

For this case we need to proof the following identity:

$tan(x-y) = \frac{tan(x) -tan(y)}{1+ tan(x) tan(y)}$

We need to begin with the definition of tangent:

$tan (x) =\frac{sin(x)}{cos(x)}$

So we can replace into our formula and we got:

$tan(x-y) = \frac{sin(x-y)}{cos(x-y)}$ (1)

We have the following identities useful for this case:

$sin(a-b) = sin(a) cos(b) - sin(b) cos(a)$

$cos(a-b) = cos(a) cos(b) + sin (a) sin(b)$

If we apply the identities into our equation (1) we got:

$tan(x-y) = \frac{sin(x) cos(y) - sin(y) cos(x)}{sin(x) sin(y) + cos(x) cos(y)}$ (2)

Now we can divide the numerator and denominato from expression (2) by $\frac{1}{cos(x) cos(y)}$ and we got this:

$tan(x-y) = \frac{\frac{sin(x) cos(y)}{cos(x) cos(y)} - \frac{sin(y) cos(x)}{cos(x) cos(y)}}{\frac{sin(x) sin(y)}{cos(x) cos(y)} +\frac{cos(x) cos(y)}{cos(x) cos(y)}}$

And simplifying we got:

$tan(x-y) = \frac{tan(x) -tan(y)}{1+ tan(x) tan(y)}$

And this identity is satisfied for all:

$(x-y) \neq \frac{\pi}{2} +n\pi$

8 0

2 years ago

An investor bought an antique table for $6000. He paid 5% as a deposit and borrowed the remainder from a bank for two years at 1

Sloan [31]

First lets get rid of the deposit.
(0.95*6000)=5700

Formula is I=PRT
I= Interest earned
P=Principal amount (5700)
R=Rate (18% or 0.18 or 18/100)
T=Time period (2 years)
Equation:
I= 5700*2*0.18
I= 2052
But remember the question asks for monthly payments!
2052/24 (12 months in a year and T= 2 years)
Answer=$85.50

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2 years ago

Last month, a company had receipts totaling $3,700. The company had overhead costs of $444. What is the rate of overhead?

Arlecino [84]

The rate of the over head is 12%

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3 years ago

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PLEASE HELP MATH GOOD POINTS

Anna71 [15]

Noah is correct because the two sides are equivalent expretions

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3 years ago

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