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:
hour= 1.25
MINUTES ANSWER= 75 minutes
Step-by-step explanation:
hope that helps>3
Y-8+2≤-2+2
remember you can do anything to an equaiton as long as you do it to both sides
y-8+2≤-2+2
y-6≤0
add 6 to both sides
y+6-6≤0+6
y+0≤6
y≤6
Answer: OPTION B.
Step-by-step explanation:
Given the following equation:
These are the steps to solve it:
<em>Step 1</em>
Add like terms on the left side of the equation:
<em>Step 2</em>
Apply Addition property of equality, which states that: 
Then, we can add 25 to both sides of the equation:
<em>Step 3</em>
Applying the Subtraction property of equality, we can subtract 
from both sides:
<em>Step 4</em>
Applying the Division property of equality, we can both sides of the equation by 3. Then:
The flow rate is 2 quarts per minute. There are 4 quarts in a US gallon, so 2 quarts divide 4 quarts per US gallon = 0.5 gallons per minute There are 60 seconds in a minute, so the flow rate is 0.5 gallons per minute divide 60 seconds per minute = 0.0083 gallons per second
