Answer:
The answer to your question is "2"
Step-by-step explanation:
Data
12x - 7 > 6
Process
1.- Add +7 in both sides of the inequality
12x - 7 + 7 > 6 + 7
2.- Simplify
12x > 13
3.- Divide by 12 both sides
12x/12 > 13/12
x > 13/12 or x > 1.08
4.- Conclusion
All the numbers higher than 1.08 are solutions of this inequality
Then, from the choices, the only possible solution is 2.
The first table, representing <em>f</em>(<em>x</em>), is linear. The data have a constant rate of change or slope:
<em />(between the first two points): <em>m</em> = (<em>y</em>₂ - <em /><em>y</em>₁)/(<em>x</em>₂ - <em>x</em>₁) = (22-18)/(-1--2) = 4/(-1+2) = 4/1 = 4. The rate of change between any two points is the same:
(between the last two points):<em> m</em> = (34-30)/(2-1) = 4/1 = 4.
The second table, representing <em>g</em>(<em>x</em>), is exponential. The data points are multiplied by the same constant between successive points. 2*2 = 4; 4*2= 8; 8*2 = 16, etc.
Answer:
y = 3/2x + 6
Step-by-step explanation:
y = 3/2x - 4
y-intercept through point (-2, 3):
3 = 3/2(-2) + b
3 = -3 + b
b = 6
Equation of line:
y = mx + b
y = 3/2x + 6
**Parallel line share the same slope, in this case 3/2.
Answer:
Step-by-step explanation:
he has 4.80 in dimes and quarters....dimes (d) are worth 0.10 and quarters (q) are worth 0.25
0.10d + 0.25q = 4.80
he has 6 more dimes then quarters
d = q + 6
====================
d = q + 6...so we sub q + 6 in for d, back into the other equation
0.10(q + 6) + 0.25q = 4.80
0.10q + 0.60 + 0.25q = 4.80
0.35q = 4.80 - 0.60
0.35q = 4.20
q = 4.20 / 0.35
q = 12 <====== there is 12 quarters
d = q + 6
d = 12 + 6
d = 18 <===== there is 18 dimes
