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kolezko [41]
3 years ago
6

What is the graph of the inequality

Mathematics
2 answers:
GrogVix [38]3 years ago
4 0

Answer:

Graph represented by option B is the correct choice.

Step-by-step explanation:

We have been given an inequality x\leq 5. We are asked to find the graph of the given inequality.

Our given inequality tells that solution is any value of x less than or equal to 5.

Since our given inequality has less than or equal to sign, then the number line will have a solid dot at x=5.

Since the values of x are less than or equal to 5, so the solution of the inequality will be numbers less than 5.

Since the numbers on the left side of a number line are less than number on right side, therefore, the graph represented by option B is the correct choice.

IgorLugansk [536]3 years ago
3 0

The inequality "x ≤ 5" means that the value of x is going to be less than or equal to the quantity 5.

Because of this, the correct answer on the graph would be a filled in dot (meaning starting at that quantity, rather than one less or one more than), and an arrow pointing to the left.

The value of x could be 5, 4, 3, and so on. Any quantity lower than, and including, 5 is a possible answer for the value of x.

The correct answer is the 2nd option.

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Estimate the perimeter and area of the shaded figure to the nearest tenth.
Maru [420]

Answer:

Perimeter = 18.7 units

Area = 13.5 units²

Step-by-step explanation:

Perimeter of ADEC = AD + DE + EC + AC

Length of AD = 3 units

By applying Pythagoras theorem in ΔDBE,

DE² = DB² + BE²

DE² = 3² + 3²

DE = √18

DE = 4.24 units

Length of EC = 3 units

By applying Pythagoras theorem in ΔABC,

AC² = AB² + BC²

AC² = 6² + 6²

AC = √72

AC = 8.49 units

Perimeter of ADEC = 3 + 4.24 + 3 + 8.49

                                 = 18.73 units

                                 ≈ 18.7 units

Area of ADEC = Area of ΔABC - Area of ΔBDE

Area of ΔABC = \frac{1}{2}(AB)(BC)

                       = \frac{1}{2}(6)(6)

                       = 18 units²

Area of ΔBDE = \frac{1}{2}(BD)(BE)

                       = \frac{1}{2}(3)(3)

                       = 4.5 units²

Area of ADEC = 18 - 4.5

                        = 13.5 units²

6 0
3 years ago
A meuseum added 18 painting to its collection in may. This is 20% of paintings the meuseum has in April. How many paintings did
Alexus [3.1K]

18 / x = 20 / 100

20x = 1800

x = 90

The museum had 90 paintings in April.

Hope this helps!! :)

5 0
2 years ago
The volume of the world's oceans is nearly 1.5 x 10^9 cubic kilometers. Write this number in scientific notation.
Ostrovityanka [42]

The answer is 1.5x10⁹ That is the scientific notation

4 0
3 years ago
Rewrite the following polynomial in standard form.<br> -x^2-10+x^3
ELEN [110]

Answer:

37

Step-by-step explanation:

4 0
2 years ago
Please help, I will give brainliest, I am struggling badly.
Alja [10]

Answer:

Step-by-step explanation:

Notice they both have the same slope of 3x so they are parallel, but different y intercepts. This means the lines never intersect and thus there are no solutions to the system of equations.

3 0
2 years ago
Read 2 more answers
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