Solve a system of equations by graphing :
Y= -2x-4
Y= 0.5x+6

Solve each inequality and graph the solution
-2(3x-1)>20

The growth rate of the sunflower from day 14 to day 35 is nearly constant. On this interval, which of the following equations best models the height  h, in centimeters, of the sunflower t days after it begins to grow?

In 1919, H. S. Reed and R. H. Holland published a paper on the growth of sunflowers. Included in the paper were the table and graph above, which show the height h, in centimeters, of a sunflower t days after the sunflower begins to grow.

Growth rates are used in expressing the annual percentage change in a variable. A variable with a positive growth rate increases over time; one with a negative growth rate decreases. Growth rates can help assess and forecast a company's performance.
¶Variety is an essential factor to consider when selecting sunflowers to grow, and it is also the primary determinant of how quickly your sunflowers will grow. The selection of a variety will directly impact how tall and fast the flowers grow. It also influences other qualities such as hardiness, structure, disease resistance, and spacing, so consider your needs when selecting a sunflower variety.

Solve each inequality and graph the solution :
4x+1+2x≥5

If a is a solution of the equation above and a > 0, what is the value of a ?

Between 1985 and 2003, data were collected every three years on the amount of plastic produced annually in the United States, in billions of pounds. The graph below shows the data and a line of best fit. The equation of the line of best fit is  , where x is the number of years since 1985 and y is the amount of plastic produced annually, in billions of pounds.

Which of the following is closest to the percent increase in the billions of pounds of plastic produced in the United States from 2000 to 2003 ?

Solve each inequality and graph the solution :
0.5x-4-2x≤2

The functions g and h are defined above. What is the value of h (0)?

Between 1985 and 2003, data were collected every three years on the amount of plastic produced annually in the United States, in billions of pounds. The graph below shows the data and a line of best fit. The equation of the line of best fit is  , where x  is the number of years since 1985 and y is the amount of plastic produced annually, in billions of pounds.

Which of the following is the best interpretation of the number 3.39 in the context of the problem?

Some building codes require that, for indoor stairways, the tread depth must be at least 9 inches and the riser height must be at least 5 inches. According to the riser-tread formula, which of the following inequalities represents the set of all possible values for the riser height that meets this code requirement?

When designing a stairway, an architect can use the riser-tread formula , where h is the riser height, in inches, and d is the tread depth, in inches. For any given stairway, the riser heights are the same and the tread depths are the same for all steps in that stairway.
The number of steps in a stairway is the number of its risers. For example, there are 5 steps in the stairway in the figure above. The total rise of a stairway is the sum of the riser heights as shown in the figure.

In mathematics, inequalities explain the relationship between two non-equal values. When two values are not equal, we frequently use the "not equal symbol ()" to indicate this. However, many inequalities are used to compare the values and determine whether they are less than or greater.
¶A relationship is considered to be an inequality if it involves two real numbers or algebraic expressions and uses the symbols ">"; "<"; "≥"; "≤. "
¶Since the tread depth, 'd' is at least 9 inches, and the riser height, 'h' is at least 5 inches, it follows that h ≥ 5, and d ≥ 9
respectively. Solving for d in the riser tread formula 2h + d = 25 gives d = 25 - 2h. Thus the first inequality, d ≥ 9, is equivalent to
25-2h ≥ 9.

Solve each inequality and graph the solution :

The function h, defined by , where  a  and  b are constants, models the height, in centimeters, of the sunflower after  t days of growth during a time period in which the growth is approximately linear. What does a represent?

In H. S. Reed and R. H. Holland published a paper on the growth of sunflowers. Included in the paper were the table and graph above, which show the height  h, in centimeters, of a sunflower t days after the sunflower begins to grow.

Which of the following expresses the riser height in terms of the tread depth?

When designing a stairway, an architect can use the riser-tread formula , where h is the riser height, in inches, and d is the tread depth, in inches. For any given stairway, the riser heights are the same and the tread depths are the same for all steps in that stairway.
The number of steps in a stairway is the number of its risers. For example, there are 5 steps in the stairway in the figure above. The total rise of a stairway is the sum of the riser heights as shown in the figure.

Oil and gas production in a certain area dropped
from 4 million barrels in 2000 to 1.9 million barrels
in 2013. Assuming that the oil and gas production
decreased at a constant rate, which of the following
linear functions f best models the production, in
millions of barrels, t years after the year 2000?

Over which of the following time periods is the average growth rate of the sunflower least?

In 1919,H. S. Reed and R. H. Holland published a paper on the growth of sunflowers. Included in the paper were the table and graph above, which show the height h, in centimeters, of a sunflower t days after the sunflower begins to grow.

If , what is the value of ?