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2 years ago

50 POINTS AND BRAINLIEST

Mathematics

1 answer:

algol [13]2 years ago

8 0

From the left $(x\to2^-)$ the function is clearly approaching 5, while from the right $(x\to2^+)$ it is approaching -2.

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Help me quickly! NO LINKS!!!!

AURORKA [14]

Answer:

180 - 110 = 70

<DBC = 70

4 0

2 years ago

Read 2 more answers

A triangle has one angle that measures 39 degrees, one angle that measures 104 degrees, and one angle that measures 37 degrees.

Nikitich [7]

Answer: Scalene triangle

Step-by-step explanation:

All triangles have three sides with specific lengths and angles, but a scalene triangle is a kind of triangle that has each of its three sides to be of different lengths and angles.

Hence, a triangle that measures 39°, 104°, and 37° definitely has three sides with different lengths and angles.

Thus, it is a scalene triangle.

8 0

3 years ago

Suppose that S is the set of successful students in a classroom, and that F stands for the set of freshmen students in that clas

lora16 [44]

Answer:

b) 24

Step-by-step explanation:

We solve building the Venn's diagram of these sets.

We have that n(S) is the number of succesful students in a classroom.

n(F) is the number of freshmen student in that classroom.

We have that:

$n(S) = n(s) + n(S \cap F)$

In which n(s) are those who are succeful but not freshmen and $n(S \cap F)$ are those who are succesful and freshmen.

By the same logic, we also have that:

$n(F) = n(f) + n(S \cap F)$

The union is:

$n(S \cup F) = n(s) + n(f) + n(S \cap F)$

In which

$n(S \cup F) = 58$

$n(s) = n(S) - n(S \cap F) = 54 - n(S \cap F)$

$n(f) = n(F) - n(S \cap F) = 28 - n(S \cap F)$

$n(S \cup F) = n(s) + n(f) + n(S \cap F)$

$58 = 54 - n(S \cap F) + 28 - n(S \cap F) + n(S \cap F)$

$n(S \cap F) = 24$

So the correct answer is:

b) 24

3 0

3 years ago

A system of two linear inequalities is graphed as shown, where the solution region is shaded.

Zinaida [17]

Answer:

(-3,2) is located in the solution region.

Step-by-step explanation:

3 0

2 years ago

Express a decimal number ( ie 0.768) - process description please - as a rational number (96/125)?

Stels [109]

The decimal representation of any number is a linear combination of powers of 10. In other words, given a number like 123.456, we can expand it as

$1\cdot10^2+2\cdot10^1+3\cdot10^0+4\cdot10^{-1}+5\cdot10^{-2}+6\cdot10^{-3}$

$10^{-n}=\dfrac1{10^n}$ for any $n$ , so the above is the same as

$100+20+3+\dfrac4{10}+\dfrac5{100}+\dfrac6{1000}=\dfrac{100000+20000+3000+400+50+6}{1000}=\dfrac{123456}{1000}$

Similarly, we can write

$0.768=\dfrac{768}{1000}$

Now it's a question of reducing the fraction as much as possible. We have $\mathrm{gcd}(768,1000)=8$ so

$\dfrac{768}{1000}=\dfrac{96\cdot8}{125\cdot8}=\dfrac{96}{125}$

5 0

2 years ago