If you have a graphing calculator then it is easy to graph
Answer:
<u>The solution of this system of equation is ( 3, - 8)</u>
Step-by-step explanation:
1. Let's solve the system of equations:
First equation:
x + 2y = - 13
x = - 13 - 2y
Second equation:
12x + 5y = -4
12 * (- 13 - 2y) + 5y = - 4 (Replacing x with - 13 - 2y)
-156 -24y + 5y = - 4
-24y + 5y = - 4 + 156 (Like terms)
-19y = 152
y = - 152/19
<u>y = -8</u> (Dividing by 19)
Solving x
x + 2y = -13
x + 2 (- 8 ) = - 13
x - 16 = - 13
x = - 13 + 16
<u>x = 3</u>
2. Proving that x = 3 and y = - 8 are correct:
12x + 5y = -4
12 * 3 + 5 * -8 = -4
36 - 40 = - 4
- 4 = - 4
<u>We proved that x = 3 and y = - 8 are correct</u>
Answer: B) (-x, y)
<u>Step-by-step explanation:</u>
If a coordinate is reflected across the y-axis, the y-coordinate stays the same but the x-coordinate changes signs.
Consider (1, 2) as the original point. Now reflect it across the y-axis. The new coordinate is (-1, 2). The y-coordinate stayed the same (2) but the x-coordinate changed signs (1 → -1).
Answer:
below :)
Step-by-step explanation:
1) 12
2}3/2
3)224.64
4)2 quarters
5)w=50
6)m=6y+7
7)42/6=7 x=6
Answer:
The probability is 8 over 15.
Step-by-step explanation:
14 of the musicians play both guitar and drums, 28 play drums, 18 play the guitar.
It means n(G and D)=14, n(D)=28, n(G)=18.
Using the formula of Union:-
n(G or D) = n(G) + n(D) - n(G and D).
n(G or D) = 18 + 28 - 14.
n(G or D) = 32.
It says 60 musicians applied for a job at a music school. So n(U)=60.
The probability that the applicant who gets the job plays drums or guitar is = n(G or D)/n(U) = 32/60 = 8/15.
Hence, the probability is 8 over 15.
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