The length of a rod is 4x + 5y- 3z cm and the length of another is 6x- 3y + z cm. By
How much is the second rod longer than the first?

Kona Graphed the compound inequality x > 2 or x > 3 by graphing x > 3. Explain Kona’s error.

We will use the following steps to solve a system of linear inequalities graphically as per Kona's error described in the question:
1. Determine the inequality for y.
2. Graph the line as a solid or dashed line depending on the sign of the inequality.
• Draw the line as a dashed line if the inequality sign lacks an equals sign (or >).
• If the inequality sign includes an equals sign, draw the line as a solid line (or).
3. Highlight the area that satisfies the inequality.
4. Repeat steps 1–3 for each inequality.
5. The overlapping region of all the inequalities will be the solution set.

What is the shortest path from the park to the coffee shop?

Find the product of (x² + 3x + 5) and (x² -1).

When a < b, how is the graph of x > a and x < b similar to the graph of x > a? How is it different?

At least two inequalities separated by "and" or "or" make up a compound inequality.
¶Most of the time, the solutions can be determined between two quantities. Where sometimes, it goes on for a while in one direction. An example of borderline high blood pressure is the systolic blood pressure range of 120 to 139 mm mercury (Hg).
¶The graph intersection of the inequalities is represented by the graph of a compound inequality with "and." If a particular number resolves both inequalities, it is a solution to the compound inequality. It can be expressed as either x > -1 and x

Rebecca earns $30 for each item she sells and a 5% commission on each sale she makes. Write an equation to express her earnings in 5 days if she sold 10 items.

The number of gallons of oil in stock decreases at a rate of 800 gallons per day. Initially, there were 9000 gallons of oil in stock. Write the equation to model this situation. After how many days will the store run out of oil?

What are compound inequalities and how are their solutions represented?

Are the lines 6x - 3y = 5 and 2y = - 4x + 4 perpendicular?

Enquire plans a diet for his dog, river. River Consumes between 510 and 540 calories per day. If river eats 1.5 servings of dog food each day, how many treats can she have?

Solve each compound inequality and graph the solution.
2x+5 > -3 and 4x+7 < 15

Two or more inequalities separated by "and" or "or" make up a compound inequality.
The graph intersection of the inequalities is represented by the graph of a compound inequality with an " and."
A number is a solution to compound inequality if it resolves both inequalities. It can also be written as x > -1 and x < 2 or as -1 < x < 2.
The graph of a compound inequality is the union of the graphs of each inequality. If a number solves at least one of the inequalities, it is a solution to the compound inequality. It is written as x < -1 or x > 2.

What is the perpendicular distance between two parallel lines 4x + 3y = 6 and 8x+ 6y = - 3?

Evaluate the expression 81p² + 16q² - 72pq when P =  and q =

Write a compound inequality for each graph:

Solve the compound inequality: -12 ≤ 7x + 9 < 16 and graph the solution

Observe the diagram carefully and find x and y.