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Lelechka [254]
3 years ago
5

There are exclusions that make the expression

Mathematics
2 answers:
Gnom [1K]3 years ago
8 0

Answer:

<h2>True.</h2>

Step-by-step explanation:

The given expression is

\frac{x^{3}-1}{x^{3}+x^{2}+x}

This expression is rational, which means the denominator must be different to zero, otherwise, the function will be undefined. So, let's find if there are values that make the denominator zero.

\frac{x^{3}-1}{x^{3}+x^{2}+x}=\frac{x^{3}-1}{x(x^{2}+x+1)}

So, if we evaluate the expression with x=0, we would have

\frac{x^{3}-1}{x(x^{2}+x+1)}=\frac{0^{3}-1}{0(0^{2}+0+1)}=\frac{-1}{0}

As you can observe, there must be one exclusion, because it makes the expression undefined.

Therefore, the answer is true.

sveticcg [70]3 years ago
4 0
Truer hi s hm Ken mallow’s
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Alexxandr [17]

Answer:

1. Interior angles:- B and F

                                C and G

2. Corresponding angles:- E and G

                                              F and H

                                              A and C

                                              B and D

3. Equal

4. Angle A = 105

    Angle C = 105

    Angle D = 75

    Angle E = 75

    Angle F = 105

    Angle G = 75

     Angle H = 105

5. Angle D

6. Angle B = 65

Step-by-step explanation:

1. The pairs of angles on one side of the transversal but inside the two lines are called Consecutive Interior Angles.

∴ Pair of interior angles are:- 1)  B and F

                                                  2) C and G

2. Corresponding angles:- the angles which occupy the same relative position at each intersection where a straight line crosses two others.

∴ Pair of corresponding angles:- 1) A and C

                                                        2) B and D

                                                        3) E and G

                                                        4) F and H

3. Angle D and E are equal as they form alternate exterior angles.

4. Angle B = 75 degrees

Angle A = (180-B) = 105 degrees

Angle C = (180-B) = 105 degrees(interior angles)

Angle D = B = 75 degrees(corresponding angles)

Angle E = B = 75 degrees(congruent angles)

Angle F = (180-B) = 105 degrees

Angle G = B = 75 degrees(alternate interior angles)

Angle A = (180-B) = 105 degrees

5. Angle D

6. Angle F = 115 degrees

Angle B = (180-115) = 65 degrees

3 0
3 years ago
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Answer:

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If he cannot spend more than 90 than the maximum amount he can afford is 35.

Step-by-step explanation:

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