Since 4i is a root, that automatically means -4i is also a root (complex roots always travel in pairs)
So the factored form would look like
<span>(x+4i)(x−4i).</span>
When multiplied out this gives the polynomial
<span><span>x2</span>+<span>16.</span></span>
Answer:
a. C = 12x + 110; b. $290
Step-by-step explanation:
a. The polynomial
Let L = cost of flip-flops
and S = cost of sandals
Then
C = L + S
= 40 + 4x + 70 + 8x
= 12x + 110
b. The cost
C = 12 × 15 + 110
= 180 + 110
= $290
The cost of making 15 flip-flops and 15 sandals is $290.
Answer:
n + 6 = 7n
Step-by-step explanation:
"The sum of a number and six" would mean the number plus 6: n+6 and "is seven times the number" indicates that it would be equal to the product of 7 for n: 7n. According to this, the answer is that the translation of the sentence into an equation is: n+6=7n.
n − 6 = 7n is not right because the statement says the sum of a number and six.
7(n + 6) = n is not right because the statement indicates that seven multiplies n on the right side as it says seven times the number.
n = 7n + 6 is not right because the statement says the sum of a number and six which would be on the left side and that this would be equal to seven for n.
Answer:
7 in both boxes
Step-by-step explanation:
In the picture, it shows
4 (x - 3) = 20
and then it shows
4 (x) - 4 (3) = 20
so practically you separate the x and 3 and put them in parentheses and then put a 4 next to both of them.
It should be the same as your question.
7 x (8 - 3)
and then separate 8 and 3 and put a 7 next to both of them.
( 7 x 8) - ( 7 x 3)
Hope it helps and have a great day! =D
~sunshine~
Greetings!
"<span>Six times a number increased by 20 is four less than eight times the number. Find the number."...
This would be, as an equation:
</span>

Solve:
Add
4 and
-6x to both sides.

Simplify.

Divide both sides by
2.

Simplify.


<span>
x=12Hope this helps.
-Benjamin
</span>