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AlladinOne [14]
3 years ago
5

Choose the inequality that represents the following graph.

Mathematics
1 answer:
zmey [24]3 years ago
4 0

Answer:

(b) x ≤ -4

Step-by-step explanation:

There are a few things to note when reading an inequality on a number line.

The number line would contain the following:

i. <em>circles</em>: These can be closed or open. Closed circles are denoted by a shaded small circle showing that the point or number shown on the number line is included in the inequality. Open circles are denoted by an unshaded small circle showing that the point or number shown on the number line is not included in the range of inequality.

ii. <em>arrows</em>: An arrow can point to the right or left. When it points to the right, that means the values greater than the number specified on the number line are included in the range. When it points to the left, the values less than the number are included.

From the given number line,

The type of circle is a closed circle since it is shaded. This means that the number pointed at on the number line (-4 in this case) is included in the range.

Also, the arrow is pointing leftwards. This means that values less than the number pointed at (-4 in this case) are included in the range.

Therefore, the inequality should read,

x ≤ -4

This shows that all values of x less than or equal to -4 are included in the range.

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Suppose that the cost (in dollars) for a company to produce x pairs of a new line of jeans is described by the formula below. C(
Ad libitum [116K]

Answer:

a) The marginal cost function is given by

C'(x) = 4 + 0.04x + 0.0003x² (in dollars)

b) C'(70) = $8.27

Step-by-step explanation:

C(x) = 1000 + 4x + 0.02x² + 0.0001x³

a) Marginal cost is usually defined as the cost of producing one extra unit of product. It expresses how much the total cost is changing with respect to number of units of product.

Mathematically,

MC = (dC/dx) = C'(x)

For this question,

C'(x) = 4 + 0.04x + 0.0003x²

b) C'(70) means the marginal cost at x = 70 units, that is, how much the total cost is changing after the production of 70 units; the cost of producing one extra unit of product after producing 70 units.

C'(x) = 4 + 0.04x + 0.0003x²

C'(70) = 4 + 0.04(70) + 0.0003(70²)

C'(70) = $8.27

Hope this helps!

8 0
3 years ago
Answer the questions to find the base area of the cone.
kaheart [24]

Answer:

1.) 86=(1/3)B(6)

2.)43.00 square feet

Step-by-step explanation:

N/A

8 0
3 years ago
Read 2 more answers
Solve the compound inequality for x and identify the graph of its solution.
RoseWind [281]

Step-by-step explanation:

Given, 3x−2<2x+1

⇒3x−2x<1+2

⇒x<3orx∈(−∞,3)

The lines y=3x−2 and y=2x+1 both will intersect at x=3

Clearly, the dark line shows the solution of 3x−2<2x+1.

8 0
3 years ago
Angie earns $55000 per year. Each year she revives a $1700 increase in annual salary. What will Angie's annual salary be for the
brilliants [131]
If she starts with 55000 per year, and she get 1700 per year extra, after fifteen years this extra will be 1700*15, or 25500. Add this to her original salary of 55000 per year to get $80500.
5 0
3 years ago
A boat travels 475 miles in 30
Sholpan [36]

Answer:

approx 15.5 hours

Step-by-step explanation:

475/30 = 15.83 miles per hour

245 = 15.83·t

t = 245/15.83

t = 15.5 hours

7 0
3 years ago
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