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xxTIMURxx [149]
3 years ago
15

Combine like terms for 2z - z + 6

Mathematics
1 answer:
zzz [600]3 years ago
5 0
If you combine 2z and -z you get z.
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Why does the expression i to the power 4n+2 is always equal to -1​
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Answer:

See Below.

Step-by-step explanation:

We are given:

i^{4n+2}

Using exponent properties:

=i^{4n}\cdot i^2

Rewriting:

=(i^4)^n\cdot i^2

Since i⁴ = 1 and i² = -1:

=(1)^n\cdot -1

1 to any power is still 1:

=1\cdot -1 = -1

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2 years ago
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Tom can do a job in 4 hours while Sam can do it in 6 hours. How many hours would it take to complete this job if they work toget
Hunter-Best [27]

Answer:

12/5hours=2.4 hours

Step-by-step explanation:

Sam:6hours

Tom:4hours

This is a rate problem

Sam's rate is one job completed in 6 hours which is 1/6

Tom's rate is one job completed in 4 hours which is 1/4

Together, they could complete 1/4+1/6 of the job in y hours

We are trying to find the rate at which Sam and Tom could complete the job together, or one job in x days, for a rate of 1/y

1/4+1/6=1/y

The least common denominator is 12y

Multiplying through by the LCD which gives:

12y(1/4)+ 12y (1/6)= 12y (1/y)

3y + 2y=12

5y = 12

y=12/5 hours=2.4hours

Therefore it will take 12/5 hours or 2.4 hours to complete the job if they work together

4 0
3 years ago
The graph of the quadratic function f is shown in the grid. Which of these best represents the domain of f?
Marysya12 [62]

Answer:

D) all real numbers

Step-by-step explanation:

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6 0
2 years ago
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