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3 years ago

(05.02)

Mathematics

1 answer:

ahrayia [7]3 years ago

5 0

I don't think you provided all the options.

Because of this, I'm providing a guess until you have the time to provide the other equations...

I'd say the correct answer is:

$y = \frac{1}{2} x + 3$

Again, this is JUST an assumption.

I attached a screenshot in case you wished for relatively adequate proof.

If you can, please provide the other answer options, so I can give a more accurate answer. :)

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Can someone help me with system of equations?

nignag [31]

2x + y = 350
x + 2y = 475
3x + 3y = 825
x + y = 275
x = 275 - y
(plug back into first equation)
2(275 - y) + y = 350
550 - 2y + y = 350
550 - y = 350
-y =-200 or y = $200 (dog)
therefore, x = $75 (cats)
Check
2(75) + 200 = 350
75 + 400 = 475
HAPPINESS! :)

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2 years ago

Multi step equation 3x+3-x+12=x+5

dlinn [17]

Answer:

x= -10

if u need explanation pls let me know

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3 years ago

Mia wants to purchase a pair of jeans. The first time she saw the jeans, they were priced at $36. When she goes back to make the

jasenka [17]

Answer: D

Step-by-step explanation:

1. Subtract 36 to 28.80

2. Divide the answer to the first price (36.00)- 7.5 divided by 36.00 or 36

3. When you calculate and find the answer as a decimal, then make it into a percentage

So if... you divide 7.5 divided by 36, you get the decimal of 0.2, and when you move the decimals two places only, you get your answer of 20%.

Hopefully it helped you!. Have a good day :-).

8 0

2 years ago

Which function is the same as y = 3 cosine (2 (x startfraction pi over 2 endfraction)) minus 2? y = 3 sine (2 (x startfraction p

kirza4 [7]

The function which is same as the function y = 3cos(2(x +π/2)) -2 is: Option A: y= 3sin(2(x + π/4)) - 2

<h3>How to convert sine of an angle to some angle of cosine?</h3>

We can use the fact that:

$\sin(\theta) = \cos(\pi/2 - \theta)\\\sin(\theta + \pi/2) = -\cos(\theta)\\\cos(\theta + \pi/2) = \sin(\theta)$

to convert the sine to cosine.

<h3>Which trigonometric functions are positive in which quadrant?</h3>

In first quadrant (0 < θ < π/2), all six trigonometric functions are positive.
In second quadrant(π/2 < θ < π), only sin and cosec are positive.
In the third quadrant (π < θ < 3π/2), only tangent and cotangent are positive.
In fourth (3π/2 < θ < 2π = 0), only cos and sec are positive.

(this all positive negative refers to the fact that if you use given angle as input to these functions, then what sign will these functions will evaluate based on in which quadrant does the given angle lies.)

Here, the given function is:

$y= 3\cos(2(x + \pi/2)) - 2$

The options are:

$y= 3\sin(2(x + \pi/4)) - 2$
$y= -3\sin(2(x + \pi/4)) - 2$
$y= 3\cos(2(x + \pi/4)) - 2$
$y= -3\cos(2(x + \pi/2)) - 2$

Checking all the options one by one:

Option 1: $y= 3\sin(2(x + \pi/4)) - 2$

$y= 3\sin(2(x + \pi/4)) - 2\\y= 3\sin (2x + \pi/2) -2\\y = -3\cos(2x) -2\\y = 3\cos(2x + \pi) -2\\y = 3\cos(2(x+ \pi/2)) -2$

(the last second step was the use of the fact that cos flips its sign after pi radian increment in its input)
Thus, this option is same as the given function.

Option 2: $y= -3\sin(2(x + \pi/4)) - 2$

This option if would be true, then from option 1 and this option, we'd get:
$-3\sin(2(x + \pi/4)) - 2= -3\sin(2(x + \pi/4)) - 2\\2(3\sin(2(x + \pi/4))) = 0\\\sin(2(x + \pi/4) = 0$