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taurus [48]
3 years ago
5

Which description of the graph of the linear equality y > 3x - 8 is correct?

Mathematics
2 answers:
aniked [119]3 years ago
7 0

Answer:

D is the correct answer

Step-by-step explanation:

Alexxx [7]3 years ago
4 0

Answer:

Option The graph will be a dashed line with a y-intercept of negative eight and a slope of three. The graph will be shaded above

the line

Step-by-step explanation:

we have

y>3x-8

The solution of the inequality is the shaded area above the dashed line The equation of the dashed line is y=3x-8

The slope of the dashed line is positive m=3

The y-intercept of the dashed line is -8

see the attached figure to better understand the problem

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shepuryov [24]
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6 0
3 years ago
Use mathematical induction to show that 4^n ≡ 3n+1 (mod 9) for all n equal to or greater than 0
cestrela7 [59]
When n=0, you have

4^0=1\equiv3(0)+1=1\mod9

Now assume this is true for n=k, i.e.

4^k\equiv3k+1\mod9

and under this hypothesis show that it's also true for n=k+1. You have

4^k\equiv3k+1\mod9
4\equiv4\mod9
\implies 4\times4^k\equiv4(3k+1)\mod9
\implies 4^{k+1}\equiv12k+4\mod9

In other words, there exists M such that

4^{k+1}=9M+12k+4

Rewriting, you have

4^{k+1}=9M+9k+3k+4
4^{k+1}=9(M+k)+3k+3+1
4^{k+1}=9(M+k)+3(k+1)+1

and this is equivalent to 3(k+1)+1 modulo 9, as desired.

3 0
3 years ago
What is the answer to this math equation? - 1 5/8 + 9 1/4
SIZIF [17.4K]
I think -4 something
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3 years ago
Which statements are true about the triangle? Select all that apply.
Bogdan [553]

Answer:

The triangle is obtuse.

It is an isosceles triangle.

The angles add up to 180°.

Step-by-step explanation:

Obtuse triangles are defined as triangles with one angle obtuse angle over 90°. This triangle has an angle of 100°, so it is an obtuse triangle!

Isosceles triangles have 2 equal sides. The two orange dashes on the left and right legs of the triangle tell us they are equivalent, so this is an isosceles triangle as well!

Finally, <em>all </em>triangles add up to 180°! We can prove this by adding the angles.

40° + 40° = 80°

100° + 80° = 180°

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3 years ago
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