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3 years ago

1) what is the answer to 5(3x-2y)+2(x+2y)-3(3x-2y)?

1 answer:

4 0

So first we want to distribute. (#1)

So, using the distributive property, we can:

5 * 3x - 2y * 5 + 2x + 2 * 2y - 3 * 3x - 3 * 2y

or

15x - 10y + 2x + 4y - 9x - 6y

Now just combine like terms

8x -12y

So for #1 it should be a.

#2: 2x - 3 + 3x - 5

Combine Like Terms:

2x + 3x - 3 - 5

5x - 8

So it should be b.

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I do not get this question

postnew [5]

Hello!

When you put money into the bank you make a deposit

The answer is deposit

Hope this helps!

5 0

3 years ago

Read 2 more answers

Write each of the following as a function of theta.<br> 1.) sin(pi/4 - theta) 2.) tan(theta+30°)

Paladinen [302]

Step-by-step explanation:

Let x represent theta.

$\sin( \frac{\pi}{4} - x )$

Using the angle addition trig formula,

$\sin(x - y) = \sin(x) \cos(y) - \cos(x) \sin(y)$

$\sin( \frac{\pi}{4} ) \cos(x) - \cos( \frac{\pi}{4} ) \sin(x)$

$( \frac{ \sqrt{2} }{2}) \cos(x) - (\frac{ \sqrt{2} }{2} )\sin(x)$

Multiply one side at a time

Replace theta with x , the answer is

$\frac{ \sqrt{2} \cos(x) }{2} - \frac{ \sin(x) \sqrt{2} }{2}$

2. Convert 30 degrees into radian

$\frac{30}{1} \times \frac{\pi}{180} = \frac{\pi}{6}$

Using tangent formula,

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

$\frac{ \tan(x) + \tan( \frac{\pi}{6} ) }{1 - \tan(x) \tan( \frac{\pi}{6} ) }$

Tan if pi/6 is sqr root of 3/3

$\frac{ \tan(x) + ( \frac{ \sqrt{3} }{3} ) }{1 - \tan(x) (\frac{ \sqrt{3} }{3} ) }$

Since my phone about to die if you later simplify that,

you'll get

$\frac{(3 \tan(x) + \sqrt{3} )(3 + \sqrt{3} \tan(x) }{3(3 - \tan {}^{2} (x) }$

Replace theta with X.

4 0

2 years ago

PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! WILL NAME BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

faltersainse [42]

Hope this helps

Answer :

Percentage increase = (279 - 180)/180 x 100% = 55%

5 0

2 years ago

Read 2 more answers

PLS ANSWER ASAP NEED HELP!!!!!!

Dmitry_Shevchenko [17]

Answer: it’s b

Step-by-step explanation:

60+95=155. 50+70=120. 155-35=120

3 0

2 years ago

Aaron deposits $8,000 into an account that earns 3% interest, compounded Annually. How much money will he have after 4 years

Lapatulllka [165]

The equation used for this problem is

F = P(1+i)ⁿ
where
F is the future worth
P is the present worth
i is the effective interest rate
n is the number of years

Substituting the values,

F = <span>$8,000(1 + 0.03)</span>⁴
F = $9,004.07

Thus, after 4 years, Aaron will have $9,004.07.

4 0

2 years ago