Questions: Choose the inequality statement that matches the graph. -6x + 5y < 30 5x - 6y ≥ 30 -6x + 5y > 30 -6x + 5y ≥ 30

Choose the inequality statement that matches the graph. -6x + 5y < 30 5x - 6y ≥ 30 -6x + 5y > 30 -6x + 5y ≥ 30
Transcript text: Choose the inequality statement that matches the graph. $-6 x+5 y<30$ $5 x-6 y \geq 30$ $-6 x+5 y>30$ $-6 x+5 y \geq 30$
failed

Solution

failed
failed

Solution Steps

Step 1: Find two points on the line.

Two points on the line are (-5, 0) and (0, 6).

Step 2: Determine the equation of the line.

The slope of the line is (6 - 0) / (0 - (-5)) = 6/5. Using the point-slope form, the equation of the line is y - 0 = (6/5)(x - (-5)), which simplifies to y = (6/5)x + 6. Multiplying both sides by 5 gives 5y = 6x + 30, which can be rewritten as -6x + 5y = 30.

Step 3: Determine the inequality sign.

The shaded region is above the line. A test point in the shaded region, such as (0, 10), can be used to determine the inequality sign. Substituting (0, 10) into the equation -6x + 5y gives -6(0) + 5(10) = 50. Since 50 is greater than 30 and the shaded region is above the line, the inequality is -6x + 5y > 30.

Final Answer

-6x + 5y > 30

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
Which of the following historical styles came before 1750, and which came after? Before 1750 Baroque Middle Ages Renaissance After 1750 Classical Romantic
failedAnswered
Select the correct choice below and fill in the answer boxes to complete your choice. (Use ascending order. Round to one decimal place as needed.) and months B. We can be 95% confident that the mean length of sentencing for the offense is between and months C. 95% of the sentences for the crime are between and months
failedAnswered
An airliner carries 50 passengers and has doors with a height of 76 in. Heights of men are normally distributed with a mean of 69.0 in and a standard deviation of 2.8 in. Complete parts (a) through (d). a. If a male passenger is randomly selected, find the probability that he can fit through the doorway without bending. The probability is (Round to four
failedAnswered
Select all that apply Secondary alkyl halides may react by SN1 or SN2 reaction mechanisms. Which of the following will favor an SN1 mechanism over an SN2 mechanism? (Select all that apply.) - use of polar protic solvents - use of methanol as both the nucleophile and solvent - use of acetone as the solvent - use of a strong nucleophile
failedAnswered
Complete the table. Round 283,162 to each place. Round 283,162 to the nearest... hundred thousand ten thousand 280,000 thousand hundred