Add them up and divide the result by 2, and you'll have the midpoint.
((2-3i)+(-4+6i)) / 2 =
(-2+3i)/2 =
-1+1.5i
since 14 is 2/3's of 21 the equation would be y=2/3x
Asked and answered elsewhere.
brainly.com/question/10474342Your appropriate choice is ...
Yes. When the function f(x) = x3 − 75x + 250 is divided by x + 10, the remainder is zero. Therefore, x + 10 is a factor of f(x) = x3 − 75x + 250.
The solution to the composite function f(g(x)) is 9x² - 78x + 165.
<h3>
What is composite function?</h3>
A composite function is generally a function that is written inside another function.
Function composition is an operation that takes two functions f and g, and produces a function h = g ∘ f such that h(x) = g.
From the given composite function, the solution is determined as follows;
to solve for f(g(x)), we use the following methods.
f(x) = x² + 2x - 3, g(x) = 3x - 14
f(g(x)) = (3x - 14)² + 2(3x - 14) - 3
= 9x² - 84x + 196 + 6x - 28 - 3
= 9x² - 78x + 165
Thus, the solution to the composite function f(g(x)) is 9x² - 78x + 165.
Learn more about composite function here: brainly.com/question/10687170
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The complete question is below:
F(x) =x2+2x-3 g(x)=3x-14, find f(g(x))
At some point, she will sell enough cards so that her sales cover her expenditures. So, the correct answer is ($40)
<h3> How did we figure this out?</h3>
Lola is making greeting cards, which she will sell by the box at an arts fair. She paid $50 for a booth at the fair, and the materials for each box of cards cost $8. She will sell the cards for $10 per box of cards.
We are going to use 50, 8 and 10 to find are answer.
Therefore, we are going to divide the numbers:
- Division problem
- 50/10
- 8 x ? = 40
<h3 /><h3>What is the missing number?</h3>
First, we need to figure out 50/10:
Therefore, at some point, she will sell enough cards so that her sales cover her expenditures. So, the correct answer is ($40)