Answer:
The answer to your question is: x₁ = 9 ; x₂ = -2, third option
Step-by-step explanation:
The excluded values are those that make the denominator equal to zero.
To find the excluded values, just factor the denominator and equal to zero to find the roots.
Process
x² - 7x - 18
- Find to numbers that added gives -7 and multiply -18.
- These numbers are -9 and + 2, because
-9 + 2 = -7
and -9 x 2 = -18
(x - 9) (x + 2) = 0
x₁ - 9 = 0 x₂ + 2 = 0
x₁ = 9 x₂ = -2
Test
(9)² - 7(9) - 18 (-2)² - 7(-2) - 18
81 - 63 - 18 4 + 14 - 18
81 - 81 18 - 18
0 0
Answer:
gcf is 20 lcm is 40
Step-by-step explanation:
Answer:
The point of intersections are (1.838, -16.49) and (8.16, 236.49).
The point (1.838, -16.49) represent that the loss for selling soccer balls equals loss for selling footballs when they are sold at a price of 1.84 dollars and the loss is $16.49.
The point (8.16, 236.49) represent that the profit for selling soccer balls equals profit for selling footballs when they are sold at a price of 8.16 dollars and the profit is $236.49.
Step-by-step explanation:
Given:
The daily profit expression for selling soccer balls is given as:

The daily profit expression for selling footballs is given as:

The graph is drawn as shown below. From the graph, the points of intersection of the two functions are (1.838, -16.49) and (8.16, 236.49).
Therefore, for selling price equal to 1.84 dollars, there is negative profit which means they will have loss. The daily loss for selling both soccer balls and footballs would be same and equal to $16.49.
For selling price equal to 8.16 dollars, there is positive profit. The daily profit for selling both soccer balls and footballs would be same and equal to $236.49.
Answer:
(x-8)(x-6)
Step-by-step explanation:
To factor this, you need the numbers that will multiply together to give you the third number (48 in this case) and add together to give you the second number (-14). -8 * -6 = 48. -8 + -6 = -14