Answer:
B) 1, 2, 2, 1
Step-by-step explanation:
In given equation:
Left side: Right Side:
2 Na 1 Na
1 S 1 S
1 H 2 H
1 Cl 1 Cl
To equal the number of Na and H atoms on both sides, HCl and NaCl will have a coefficient of 2 to balance the equation while Na₂S and H₂S will have a coefficient of 1.
1 Na₂S + 2 HCl ⇒ 2 NaCl + 1 H₂S
A) Table D does not represent a function as y can't have two different values for the same value of x.
B) Table A and C.
Answer:
7 > -7
Step-by-step explanation:
-9 is not greater than -4
-6 is not greater than -5
I am not sure what 7 -7 means in your first option but if it is consistent, then yes, 7 is greater than -7.
I am pretty sure it's 82/100.
One form of the equation of a parabola is
y = ax² + bx + c
The curve passes through (0,-6), (-1,-12) and (3,0). Therefore
c = - 6 (1)
a - b + c = -12 (2)
9a + 3b + c = 0 (3)
Substitute (1) into (2) and into (3).
a - b -6 = -12
a - b = -6 (4)
9a + 3b - 6 = 0
9a + 3b = 6 (5)
Substitute a = b - 6 from (4) into (5).
9(b - 6) + 3b = 6
12b - 54 = 6
12b = 60
b = 5
a = b - 6 = -1
The equation is
y = -x² + 5x - 6
Let us use completing the square to write the equation in standard form for a parabola.
y = -[x² - 5x] - 6
= -[ (x - 2.5)² - 2.5²] - 6
= -(x - 2.5)² + 6.25 - 6
y = -(x - 2.5)² + 0.25
This is the standdard form of the equation for the parabola.
The vertex us at (2.5, 0.25).
The axis of symmetry is x = 2.5
Because the leading coefficient is -1 (negative), the curve opens downward.
The graph is shown below.
Answer: y = -(x - 2.5)² + 0.25