Answer: x≤ -0.5
Step-by-step explanation: Graph the two lines or solve for x:
2x – 6 ≥ 6(x – 2) + 8
2x – 6 ≥ 6x – 12 + 8
2x – 6 ≥ 6x – 4
-4x ≥ 2
x ≤ -1/2 [Inequality is reversed when multiplying or dividing by a negative number]
The number line is anything less than or equal to - 1/2
Or one can plot each side of the inequality and note the interception point (x = -(1/2)).
Answer:
Revenue = 1380
Step-by-step explanation:
Given:
Revenue means the sales or turnover of a company when it sells its products. In other words, it is nothing but the income of a company on selling the products.
Here, the company is selling backpacks. So, revenue is the amount earned by the company on selling 'x' backpacks. The linear model to represent the same is given below.
The revenue received from selling 'x' backpacks is given as:
Number of backpacks sold (x) = 40
Now, in order to find the revenue received on selling 40 backpacks, we need to plug in 40 for 'x' in the equation above and solve for the revenue, 'R'.
On plugging 40 for 'x', we get:
Therefore, the revenue received by the company on selling 40 backpacks is 1380.
Answer:
Step-by-step explanation:
<u>Given functions</u>:
Solve for p(x) = r(x):
As the found quadratic equation cannot be factored, use the Quadratic Formula to solve for x:
<u>Quadratic Formula</u>
Therefore:
Substitute the values of a, b and c into the <u>quadratic formula</u> and solve for x:
Therefore, the solutions are:
Learn more about quadratic equations here: