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2 years ago

Graph the solution set for each given inequality

Mathematics

1 answer:

Alexus [3.1K]2 years ago

8 0

Answer:

see the attachments

Step-by-step explanation:

An inequality without the "or equal to" case is graphed with an open circle at its boundary point. If the "or equal to" case is included, then the dot at the boundary is filled in (a solid dot). The number line is shaded to the left or right of the boundary point, depending on whether the set being graphed includes values less than or greater than the boundary value. Usually, a line extending indefinitely will have an arrow on its end. (Not here, because the program used doesn't easily support drawing arrows.)

a. The boundary point at x=7.75 has an open circle, and the shading of the number line extends indefinitely to the right from there.

b. The boundary point at x=2.5 is a solid dot, and the shading extends indefinitely to the left.

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Please help!

Masja [62]

Answer:

(A) The rate of change in the price of a bushel of corn in the current year is $7.

(B) The price of a bushel of corn in the current year is $2 more than the price of a bushel of corn in the previous year.

Step-by-step explanation:

The graph for the prices of different numbers of bushels of corn at a store in the current year is shown below.

Part A:

The rate of change in the price of a bushel of corn in the current year based upon the number of bushels is known as the slope of the line.

The formula to compute the slope is:

$\text{Slope}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Consider the ordered pairs: (4, 28) and (10, 70)

Compute the slope of the line as follows:

$\text{Slope}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$=\frac{70-28}{10-4}\\\\=\frac{42}{6}\\\\=7$

Thus, the rate of change in the price of a bushel of corn in the current year is $7.

Part B:

The data for the price of bushels in the previous year is as follows:

Number of Bushels Price

2 10

4 20

6 30

8 40

Compute the rate of change in the price of a bushel of corn in the previous year based upon the number of bushels as follows:

Consider the ordered pairs: (2, 10) and (6, 30)

$\text{Slope}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$=\frac{30-10}{6-2}\\\\=\frac{20}{4}\\\\=5$

The rate of change in the price of a bushel of corn in the previous year is $5.

Thus, the price of a bushel of corn in the current year is $2 more than the price of a bushel of corn in the previous year.

5 0

3 years ago

Mrs. Howard is hosting a catered dinner party to celebrate her daughter's graduation. The catering company she plans to use char

Airida [17]

Hi there! The answer is 72 guests.

To find our answer we need to set up and solve an equation. Let the total number of guests be represented by g. The cost per guest is $13.50
Therefore the cost for all of the guests will be $13.50 × g.

To find the total cost we need to add the additional fee of $540 to cover linens and tableware.

Now we've found our equation.
$13.5g + 540 = 1512$

Subtract 540.
$13.5g = 972$

Divide by 13.5
$g = \frac{972}{13.5} = 72$

Therefore, there are 72 guests. The answer is 72.
~ Hope this helps you!

8 0

3 years ago

Read 2 more answers

A line connecting a vertex of a scalene triangle with the midpoint of the opposite side is the

Irina18 [472]

The line would be called the median. The definition of '<span>A line connecting a vertex of a scalene triangle with the midpoint of the opposite side' pertains to the median. There are three medians that connect the scalene triangle. </span>

4 0

2 years ago

Someone help me with this proof please

Anna71 [15]

Answer:

the first statement is: AB is congruent to DC.

reason: given

Step-by-step explanation:

im not sure about the others

6 0

3 years ago

mardi received an inheritance of 70,000. She invested part at 12% and deposited the remainder in tax-free bonds at 9%. Her total

cluponka [151]

Here ya go (: hope this helps.

4 0

3 years ago