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VARVARA [1.3K]
2 years ago
14

Y = x + 2 y = 3x - 4

Mathematics
1 answer:
exis [7]2 years ago
8 0

Answer:

x=3; y=5

Step-by-step explanation:

y=x+2

y=3x-4

so x+2=3x-4

2x=6

x=3

because y=x+2

                  x=3

so y=3+2

     =5

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Which point on the graph below is included in the solution to the following system of equations?
monitta

Answer:

D(-7,-2)

Step-by-step explanation:

A(-4,3)  B(5,-1)  C(-2,-6)    D(-7,-2)

A: 5×(-4) + 6×3 = -2 ≥ -30 ..... No

B: 2/3×5 + 1 =4.33 ≥ -1 ....No

C:  -6 ≤ 2/3×-2 +1 ....No

D: 2/3×(-7)+1 = 2.333 ≤ -2

    5×(-7) + 6×(-2) = -47 ≤ -30 ......Yes

5 0
2 years ago
Find all solutions of each equation on the interval 0 ≤ x < 2π.
Korvikt [17]

Answer:

x = 0 or x = \pi.

Step-by-step explanation:

How are tangents and secants related to sines and cosines?

\displaystyle \tan{x} = \frac{\sin{x}}{\cos{x}}.

\displaystyle \sec{x} = \frac{1}{\cos{x}}.

Sticking to either cosine or sine might help simplify the calculation. By the Pythagorean Theorem, \sin^{2}{x} = 1 - \cos^{2}{x}. Therefore, for the square of tangents,

\displaystyle \tan^{2}{x} = \frac{\sin^{2}{x}}{\cos^{2}{x}} = \frac{1 - \cos^{2}{x}}{\cos^{2}{x}}.

This equation will thus become:

\displaystyle \frac{1 - \cos^{2}{x}}{\cos^{2}{x}} \cdot \frac{1}{\cos^{2}{x}} + \frac{2}{\cos^{2}{x}} - \frac{1 - \cos^{2}{x}}{\cos^{2}{x}} = 2.

To simplify the calculations, replace all \cos^{2}{x} with another variable. For example, let u = \cos^{2}{x}. Keep in mind that 0 \le \cos^{2}{x} \le 1 \implies 0 \le u \le 1.

\displaystyle \frac{1 - u}{u^{2}} + \frac{2}{u} - \frac{1 - u}{u} = 2.

\displaystyle \frac{(1 - u) + u - u \cdot (1- u)}{u^{2}} = 2.

Solve this equation for u:

\displaystyle \frac{u^{2} + 1}{u^{2}} = 2.

u^{2} + 1 = 2 u^{2}.

u^{2} = 1.

Given that 0 \le u \le 1, u = 1 is the only possible solution.

\cos^{2}{x} = 1,

x = k \pi, where k\in \mathbb{Z} (i.e., k is an integer.)

Given that 0 \le x < 2\pi,

0 \le k.

k = 0 or k = 1. Accordingly,

x = 0 or x = \pi.

8 0
2 years ago
Read 2 more answers
Nathan packs 30 boxes in 2 hours.how many boxes can he pack in an 10 hour shift
Advocard [28]

Question :

nathan packs 30 boxes in 2 hours.how many boxes can he pack in an 10 hour shift?

30 boxes in 2 hours = 15 box in 1 hour

so

10 * 15 = 150

150 boxes is your answer

6 0
3 years ago
Read 2 more answers
Translate into an inequality<br> The quotient of y and 7 is greater than or equal to -19
Dafna11 [192]

Answer:

y/7  >/  -19

That middle sign is the greater than or equal to sign (couldn't find on keyboard)

Step-by-step explanation:

y divided by 7 is greater than or equal to -19

Quotient means divided by.

7 0
2 years ago
Solve 3[-x + (2 x + 1)] = X-1.<br> X =
dexar [7]
X= -2

Yeasssssssssssssss
3 0
3 years ago
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