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mylen [45]
3 years ago
7

The graph below shows the solution to which system of inequalities?

Mathematics
1 answer:
kkurt [141]3 years ago
3 0

Given:

The graph of system of inequalities.

To find:

The inequalities.

Solution:

From the given graph it is clear that dotted line is a vertical line parallel to the x-axis and one unit above the x-axis. So, the equation of dotted line is

y=1

The area below the dotted line is shaded. It means, y values must be less than 1. So, the required inequality for dotted line is

y         ...(i)

Solid line passes through (-5,-5), (0,0) and (5,5). It means y is directly proportional to x with 1 as constant of proportionality. So, the equation of solid line is

y=x

The area above the solid line is shaded. It means, y values must be greater than or equal to x. So, the required inequality for solid line is

y\geq x      ...(ii)

So, the system of inequalities have inequalities y and y\geq x.

Therefore, the correct option is D.

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Degger [83]

Square numbers are numbers with an odd number of factors. For example, 1 and 4 are square numbers.

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3 years ago
The company charges $5 per sq ft, AND has a minimum charge of 3 sq ft per order (meaning if a customer orders something SMALLER
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Answer:

15 dollars

Step-by-step explanation:

12 inches = 1 ft

so 12 inch by 12 inches  is 1 ft * 1 ft

1 ft* 1 ft

1 ft^2

This is smaller than 3 ft^2 so they will get charged for 3 ft^2

3 ft^2 = 3 ft^2 * $5 / ft^2 = 15 dollars

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What is 3 ÷ 1/2 can you help me with this
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Answer: 1.5 or 1 1/2

Step-by-step explanation:

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3 years ago
Read 2 more answers
In the Minnesota Northstar Cash Drawing, you pick five different numbers between 1 and 35. What is the probability of picking th
maw [93]

Answer:

\frac{1}{324632} probability of picking the winning combination

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Since the order is not important, the combinations formula is used to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

Desired outcomes:

The correct five numbers from a set of 5. So

D = C_{5,5} = \frac{5!}{5!0!} = 1

Total outcomes:

Five numbers from a set of 35. So

T = C_{35,5} = \frac{35!}{5!30!} = 324632

Probability:

p = \frac{D}{T} = \frac{1}{324632}

\frac{1}{324632} probability of picking the winning combination

5 0
2 years ago
What is the VOLUME and SURFACE AREA of a cube with 14 cm in length?
vfiekz [6]
Volume of the cube = a³ = (14cm)³= 2744 cm³

To find surface are, we need to find at first area of the face
A(face)=14² cm².
Cube has 6 congruent squares, so 
Surface area of the cube = 6*14² cm²= 1176 cm²
3 0
3 years ago
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