Answer:34 play sports; 46 don't play sports
Step-by-step explanation:
80 total students
48 in band
24 band and sport
24 band only
22 neither
10 sports only
80-22 = 58 participants
58-48 = 10
24 both + 10 sports only = play 34 sports
80-34 = 46 don't play sports
Answer:
$1.08
Step-by-step explanation:
30 days × (2 hrs/day) × (150 W) × (1 kW / 1000 W) × (0.12 $/kWh) = $1.08
Answer:
the first question: y = x -10
the second question: y = 1/2 x - 3/2
Step-by-step explanation:
for the second equation:
1. x = 2y + 3
2. x - 3 = 2y
3. divide 2 on the whole equation
4. 1/2x - 3/2 = y
4. put it in slope-intercept form: y = 1/2x - 3/2
Answer:
- The effect of the negative sign is that it reflects the graph of the function over the x-axis.
- That means that the graph that represents such function is a parabola that opens downward, being its vertex the maximum of the graph.
Explanation:
The vertex form of a parabola is y = A (x - h)² + k.
The values of A, h, and k means the following:
- A > 0 the parabola opens upward and the vertex is a minimum,
- A < 0 the parabola opens downward and the vertex is a maximum.
- A cannot be equal to zero.
- | A | > 0 the parabola is stretched vertically.
- | A | < 0 the parabola is compressed vertically.
- The vertex of the function is the point (h, k).
So, for the given function you have:
- A = - 1/2, so the parabola opens downward and the vertex is the maximum.
- Also, since |A| < 1 means that the parabola is compressed vertically.
- The vertex is (1, 3), so the maximum of the function is 3 and it happens at x = 1.
Answer:
5/6
Step-by-step explanation:
1 2/3 = 5/3
5/3 ÷ 2/1 =
5/3 × 1/2 =
5/6