Answer:
Option (1)
Step-by-step explanation:
x -2 -1 0 1 2
y 10 2.5 0 2.5 3.0
Ist difference,
= -2.5
= 2.5
= 7.5
2nd difference,
= 5
= 5
= 5
Since 2nd difference is common, given table represents a quadratic equation.
Let the equation is,
y = ax²+ bx + c
For a point (0, 0) passing through the quadratic equation,
0 = c
Therefore, quadratic equation is y = ax² + bx
Since ordered pair (-1, 2.5) passes through the graph of the function,
2.5 = a(-1)² + b(-1)
a - b = 2.5 ------(1)
For another point (1, 2.5)
2.5 = a(1)² + b(1)
a + b = 2.5 ------(2)
By adding equations (1) and (2),
2a = 5
a = 2.5
and from equation (2)→ y = 0
Therefore, equation of the quadratic function given in the table is y = 2.5x²
Option (1) is the answer.
Answer:
C
Step-by-step explanation:
2x -15 +3x -5 = 180
5x -20 = 180
5x = 180+20 = 200
x = 200/5 = 40
3x -5 = 3(40)-5 = 120-5 = 115
2x -15 = 2(40) - 15 = 80-15 = 65
Answer:
To find the slope of a line from a graph, first choose 2 points along the line and write down the X and Y coordinates for each. Next, find the rise by taking the difference between the 2 Y coordinates. If the line slopes up as it moves to the right, the rise will be positive. If it slopes down, the rise will be negative.
Step-by-step explanation:
Answer:
13
Step-by-step explanation:
-15=11-2t
Answer:
Each snack combo costed $8
Step-by-step explanation:
4 friends* 11 per ticket = $44 for four tickets
76 - 44 = $32 spent on all the snack combos
$32 ÷ 4 friends = $8 spent on each snack combo
So, each snack combo costed $8
Hope this helps!