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: 9210
Step-by-step explanation:
1 game has 3 bags of green chips ; 2 bags of red chips ; 5 bags of yellow chips
1 bag: 25 green chips
1 bag: 30 red chips
total number of chips:
green: 3 x 25 = 75
red: 2 x 30 = 60
yellow: 75 + 60 = 135 answer to part a.
75 + 60 + 135 = 270 total number of chips.
270 / 54 = 5 players. answer to part b.
Each of the 5 players will have 15 green chips, 12 red chips, and 27 yellow chips, for a total of 54 chips.
Answer:
Step-by-step explanation:
You must state the "price before tax". Let this be P. Also, you must state the sales tax rate. Let this be r, where r is a decimal fraction.
Then the sales tax is rP, the product of the tax rate and the "price before tax."
The total cost of the item (for which it is sold) is (P + rP)($40).
If P = $40 and the sales tax rate is 7%, then
this total cost is (1 + 0.07)P = 1.07P = $42.80
Your question would be clearer if you wrote it like this: Given that the base price of an item is $40 and that the sales tax rate is 7%, find the total cost of the item with tax. That would be (1 + 0.07)($40), or $42.80.
The sales tax is $42.80 - $40 = $2.80.
Option A is the correct answer
