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d1i1m1o1n [39]
3 years ago
15

8

Mathematics
1 answer:
tia_tia [17]3 years ago
6 0

Answer:

8-6i

Step-by-step explanation:

Multiply out (3-i)^2 in order to find out which expression it is equivalent to.

1) Since the whole quantity is squared, write it out as (3-i)(3-i).

(3-i)^2\\(3-i)(3-i)

2) Multiply binomials by using the FOIL method. Multiply the terms that are listed first in each binomial, then the ones that are listed outermost when looking at both binomials, then innermost, and finally the last terms listed in each binomial. Simplify and combine like terms.

(3-i)(3-i)\\9 - 3i - 3i + i^2

9 - 6i + i^2

3)  i = \sqrt{-1}, so i ^2 must be (\sqrt{-1} )(\sqrt{-1}). Thus, i^2 is equivalent to -1. Knowing this, simplify and combine like terms.

9 - 6i + ((-\sqrt{1} )(\sqrt{-1} ))

9 - 6i -1\\8 - 6i

Thus, it is equivalent to  8 - 6i .

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Which represents where f(x) = g(x)?
son4ous [18]

Answer:

Option (1)

Step-by-step explanation:

Two functions 'f' and 'g' have been graphed in the picture attached.

Both the functions will be equal at the points where the values of these functions are equal.

Those points are the point of intersection of both the functions on the given graph.

At x = -4,

f(-4) = g(-4) = 4

At x = 0,

f(0) = g(0) = 4

Therefore, Option (1) will be the answer.

5 0
3 years ago
Benjamin decides to treat himself to breakfast at his favorite restaurant. He orders chocolate milk that costs
Serjik [45]

Answer:

3.25 + 5.50S is less than or equal to 30

7 0
2 years ago
Factor Completely.3g^2-78g+75
Umnica [9.8K]

✧・゚: *✧・゚:*    *:・゚✧*:・゚✧

                  Hello!

✧・゚: *✧・゚:*    *:・゚✧*:・゚✧

❖ 3g^2 - 78g + 75 factored completely is 3(g-1) * (g-25)

First, write the expression as a difference:

3(g^{2} -26g +25)

Then factor the expression:

3(g^{2} - g - 25g + 25)

Factor the expression again:

3 (g*(g-1)-25(g-1))

Your final answer should be:

3(g-1)*(g-25)

~ ʜᴏᴘᴇ ᴛʜɪꜱ ʜᴇʟᴘꜱ! :) ♡

~ ᴄʟᴏᴜᴛᴀɴꜱᴡᴇʀꜱ

3 0
3 years ago
Read 2 more answers
Scientists find the same type of index fossil in two different locations on Earth. What can they conclude from this discovery?
nikitadnepr [17]
They can conclude that the certain animal ( of the fossil) had either migrated to that place or was brought to that certain place this is also proof of of the Continental Drift Theory that there was a Pangaea and split apart around a certain time.
5 0
3 years ago
Read 2 more answers
what is the equation for the line that is perpendicular to the x-axis and passes through the point (4, -7)?
Sidana [21]

Step-by-step explanation:

perpendicular means to cross at a right angle (90 degrees).

so, any line perpendicular to the x-axis is parallel to the y-axis.

and any line parallel to the y-axis has only a defining x value. all points on that line have the same x value (while any value for y from -infinity to +infinity is valid).

the y-axis itself is

x = 0

the specified point here has an x value of 4.

so, the line we are looking for is

x = 4

to point out : this is NOT a function, because for the same x value we get more than 1 valid y values.

7 0
3 years ago
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