The boundary for the first inequality: y> x+3 is the line y=x+3 and will be excluded (dashed) from the highlighted area because of the absence of equality sign.
The boundary for the second inequality: y <= 3x-3 is the line y=3x-3, and will show in solid because of the presence of the equal sign.
Please see the image attached showing your original graph with the first inequality in blue, the second in red. Note the y intercepts highlighted by a dot, and also verify the slopes: 1 and 3, respectively.
The solution to the system if inequalities is the area with both shadings overlapping.
Let me know if you have questions.
You want to calculate the ratio of 7 2/3 feet to 5 3/4 feet. The correct answer will not have units of measurement.
Convert 7 2/3 and 5 3/4 to improper fractions: 23/3 and 23/4.
What is the quotient of 23/3 to 23/4? It's the same as 1/3 to 1/4: (1/3)(4/1) = 4/3.
The answer is C. 14
35/5=7
7•2=14
Answer:
Step-by-step explanation:
Add and subtract the square of half the x-coefficient:
x² -10x +(-5)² -(-5)² +15
Express the first three terms as a square; simplify the remaining terms.
(x -5)² -10
This expression describes a parabola that opens upward and has its vertex at (x, y) = (5, -10). The minimum value is -10.
Answer: D.
Step-by-step explanation:
Water is continually pumped out of underground aquifers to prevent flooding and to provide drinking water. This makes the soil compact, causing the city to sink.
