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MatroZZZ [7]
3 years ago
6

Which function is linear?

Mathematics
1 answer:
gulaghasi [49]3 years ago
4 0

Answer:

4

Step-by-step explanation:

5-1=4

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Using the Principle of Mathematical Induction, prove that . n ^2 − n is even for n ≥ 1​
Tamiku [17]

Base case: if <em>n</em> = 1, then

1² - 1 = 0

which is even.

Induction hypothesis: assume the statement is true for <em>n</em> = <em>k</em>, namely that <em>k</em> ² - <em>k</em> is even. This means that <em>k</em> ² - <em>k</em> = 2<em>m</em> for some integer <em>m</em>.

Induction step: show that the assumption implies (<em>k</em> + 1)² - (<em>k</em> + 1) is also even. We have

(<em>k</em> + 1)² - (<em>k</em> + 1) = <em>k</em> ² + 2<em>k</em> + 1 - <em>k</em> - 1

… = (<em>k</em> ² - <em>k</em>) + 2<em>k</em>

… = 2<em>m</em> + 2<em>k</em>

… = 2 (<em>m</em> + <em>k</em>)

which is clearly even. QED

8 0
3 years ago
Solve the system of equations below.<br><br><br> A. <br><br> B. <br><br> C. <br><br> D.
timofeeve [1]

Answer:

  A.  (-7 -2)

Step-by-step explanation:

You can eliminate y by multiplying the first equation by 7 and subtracting 6 times the second equation:

  7(-3x +6y) -6(5x +7y) = 7(9) -6(-49)

  -21x +42y -30x -42y = 63 +294 . . . . eliminate parentheses

  -51x = 357 . . . . . . . . collect terms

  x = -7 . . . . . . . divide by -51. This matches answer choice A.

7 0
3 years ago
Katrina wrote the standard form of a linear equation as 4x-2/3y=8. Sophia told her that the equation was not yet in standard for
Angelina_Jolie [31]

9514 1404 393

Answer:

  multiply by 3 and divide by 2 to get 6x -y = 12.

Step-by-step explanation:

A standard form equation has mutually prime integers for coefficients, and the leading one is positive. We can get that here by multiplying by 3 (to eliminate the denominator) and dividing by 2 (to remove that common factor). The result is ...

  4(3/2)x -(2/3)(3/2)y = 8(3/2)

  6x -y = 12

6 0
3 years ago
Is 6+2 +4x equivalent to 6- ( 2-4x) . if not , why not ?
Xelga [282]
Well lets solve for both.
6 + 2 + 4x
Combine like terms.
8 + 4x
Now solve the other one.
6 - (2 - 4x)
Distribute.
6 - 2 + 4x
Combine like terms.
4 + 4x.
These equations are not equivalent because instead of adding two, like in the first one, the second problem is subtracting. So you get 8 + 4x and 4 + 4x. I hope this helps love! :)
6 0
3 years ago
Hi can someone please answer my question please don't put random letters. thank you ❤️​
patriot [66]

Answer:

a

d

A

c

c

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
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