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irina [24]
2 years ago
9

A function is defined as {(0,1),(2,3),(5,8),(7,2)}. Issac is asked to create one more ordered pair for the function. Which order

ed pair can he add to the set to keep it a function?
1) (0,2)
2) (5,3)
3) (7,0)
4) (1,3)​

Mathematics
1 answer:
Hoochie [10]2 years ago
4 0
4) (1,3)
This is because in order to keep the ordered pairs a function, x cannot repeat. 1 is the only x that has nor repeated. Hope this helps mate.
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If A = -3 + 5i, B = 4 - 2i, and C = 1 +6i, where i is the imaginary unit, then A - BC equals
Maslowich

Answer:

3) -19 - 17i is our answer

Step-by-step explanation:

to solve A - BC we plug in the values given

A= -3 + 5i

B = 4 - 2i

C = 1 + 6i

-3 + 51i - (4 - 2i)(1 + 6i) is our expression. we can FOIL (4 - 2i)(1 + 6i) this expression out. FOIL stands for:

First

Outside

Inside

Last

i will highlight the terms i am using in the current step in bold and put the result next of those two terms next to the expression

F: (4 - 2i)(1 + 6i) = 4

O: (4 - 2i)(1 + 6i) = 24i

I: (4 - 2i)(1 + 6i) = -2i

L: (4 - 2i)(1 + 6i) = 12 < --- the reason why its 12 and not -12i or 12i is because <em>i</em> = √-1 and i² = -1

when we multiply -2i * 6i, we would have gotten a -12i², and i² = -1, so we are multiplying -12 by -1, which gives us 12 as the result

combining all these terms together and we have:

4 + 24i - 2i + 12

in the expression this is:

-3 + 5i - (4 + 24i - 2i + 12) < we need to distribute the negative sign into (4 + 24i - 2i + 12) and we now get:

-3 + 5i -4 - 24i + 2i - 12 < combine like terms (ex: i terms together)

-3 - 4 - 12 = -19

5i - 24i + 2i = -17i

the result of the expression is:

-19 - 17i

we cannot simplify this any further so this is our answer. the answer choice that matches this is 3, so 3) -19 - 17i is our answer

6 0
3 years ago
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The best answer is B (2,4), (4,6), (6,8), (8,10).

I hope this helps.


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3 years ago
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Answer:

105 boys

Step-by-step explanation:

At a local preschool there is a ratio of 3 boys to 4 girls.

i.e boys:girls = 3:4

There are 245 preschoolers enrolled.

Number of boys = \frac{3}{7} × 245 = 105 boys

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Answer:

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Step-by-step explanation:

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