1.1 i hoped that helped you bye have a good day
Answer:
c = 289
Step-by-step explanation:
Given
x² + 34x
To complete the square
add ( half the coefficient of the x- term )² to x² + 34x
= x² + 2(17)x + 17²
= x² + 34x + 289 ( with c = 289 )
= (x + 17)² ← perfect square
Answer:
Adult: 50 tickets
Child: 34 tickets
Step-by-step explanation:
Let a be the amount of adult tickets
Let c be the amount of child tickets
Equation:
a + c = 84
14a + 9c = 1,006
Step 1: Multiply a + c = 84 with -9, to canceled c.
-9 (a + c = 84) → -9a - 9c = -756
14a + 9c = 1006 → 14a + 9c = 1006
Step 2: Combined the 2 equation together, and solved it.
-9a - 9c = -756
<u>14a + 9c = 1006</u>
<u> 5a</u> = <u>250</u>
5 5
a = 50
Step 3: Plug 50 into the one of the equation, and solved it.
a + c = 84 → 50 + c = 84
<u>-50 -50</u>
c = 34
Answer: Adult tickets (a) = 50 and Child tickets (c) = 34
To check the answer plug the two number into the equation ( Make sure to add 50 for a and 34 for c).
2 equations: the first one is the sum of 2 unknown numbers x and y: x + y = 72. Now the difference is 25, so x - y = 25. Solve the first equation for y: y = 72 - x. Sub that into the second equation to solve for x: x - (72 - x) = 25. x - 72 + x = 25 and 2x - 72 = 25. Therefore, 2x = 97 and x = 48.5 That's the larger of the 2 numbers; since we subtracted y from x we defined x as the larger of the 2. Just for fun, plug x in to find that y = 23.5
