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Vlada [557]
2 years ago
14

Solve the following system of equations.

Mathematics
2 answers:
allsm [11]2 years ago
7 0

Answer:

x=1,y=1

Step-by-step explanation:

For this problem, we can use the substitution method. Since we know that x is equal to 2y-1, we can rewrite the first equation as 2(2y-1)+y=3. Now solving we get:

4y-2+y=3

5y-2=3

5y=5

y=1

Now we can plug in 1 for y in the second equation and get:

x=2(1)-1

x=1

This means that x=1, and y=1

svet-max [94.6K]2 years ago
4 0

Step-by-step explanation:

your solution would be (1,1)

is step by step needed

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Solve sint = cos2t, for –4π ≤ t ≤ –2π
e-lub [12.9K]

Answer:

-(23/6)π

-(19/6)π

-3π

Step-by-step explanation:

cos2t=cos^2t-sin^2t => cos^2t=1-sin^2t =>cos2t=1-2sin^2t

sint=1-2sin^2t, if x=sint, thenn we have 2x^2+x-1=0

Here x=0.5, x=-1, as x=sint => sint = -1 solutions for -4π to -2π is t=-3π,

sint = 0.5 solutions for -4π to -2π is t= -(23/6)*π, and t = -(19/6)*π

3 0
4 years ago
The store has put up a robotics kit on sale for 25% off the original price of $250, AND you have a coupon for an additional 20%
Ganezh [65]

A. If you use only the coupon you will have to pay $137.50.

B. Using the Coupon during the sale, the kit is discounted by $112.50

C. The total percent discount is 45% after both discounts.

Step-by-step explanation:

Step 1; The store has the robotics kit for a sale of 25% off $250. So we need to find how much 25% is in terms of $250. To do that we convert 25% into a fraction by dividing it by 100 and multiplying it with $250.

25% of  $250 = \frac{25}{100} × $250 = 0.25 × $250 = $62.50

So we find the cost of the kit due to the store's discount. To do that we subtract the discounted price from the original price.

Robotics kit price after 25% discount = $250 - $62.50 = $187.50.

Step 2; A coupon you have gives you an additional 20% discount. So the robotics kit can be brought for 25% off due to the sale at the store, due to this coupon you get an additional 20%. So you get a 45% discount off $250.

45% of  $250 = \frac{45}{100} × $250 = 0.45 × $250 = $112.50.

So to find the total discount we subtract this $112.50 from the non-discounted cost of $250.

Total discounted price = $250 - $112.50 = $137.50.

6 0
3 years ago
Write the number 0.21212121 ... as a fraction
julia-pushkina [17]

Answer:

1.91/9

Step-by-step explanation:

x=0.212121212........                                                         .........1  equation

10x=2.12121212.........                                                       ........2   equation

1 equation - 2 equation

9x=1.91

x=1.91/9

therefore 0.212121.....=1.91/9

4 0
3 years ago
What is the approximate radian measure<br> of an angle with a degree measure of<br> 59.6°?
Stella [2.4K]

Answer:

The approximate radian measure of the angle. So we have 15 nine 0.6 degrees convert degrees to radiance. You have to multiply by pi over 1 80. So if we did that, that'd be 59.6 pi over 1 80. So if we want to know the approximate value, we're going to use the pi button on our calculator to figure out what 59.6 times pi is. That's approximately 187.2389, Divided by 1 80. So now I would divide that number by 180 and that gives me 1.04 radiance, 1.04 radiance is the answer.

3 0
2 years ago
Which statement is true regarding the graphed functions?
Vika [28.1K]

f(-2)=g(-2)

Think of the number in parentheses as your x value. f(x)=y. In this case the line hit at (-2,4) so when f(x) = 4, g(x)= 4 and 4=4 so you then have to find the x which in this case is -2. I’m pretty bad at explaining but there’s your answer

8 0
4 years ago
Read 2 more answers
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