Answer:
Step-by-step explanation:
f * g = (x^2 + 3x - 4) (x+4)
open bracket
x((x^2 + 3x - 4) + 4 (x^2 + 3x - 4)
x³ +3x²-4x+x²+12x-16
x³+3x²+x²-4x+12x-16
x³+4x²+8x-16 (domain is all real numbers.
f/g = (x^2 + 3x - 4)/(x+4)
factorising (x^2 + 3x - 4)
x²+4x-x_4
x(x+4) -1 (x+4)
(x+4)(x-1)
f/g = (x^2 + 3x - 4)/(x+4) =(x+4)(x-1)/(x+4) = (x-1)
Before factorisation, this was a rational function so the domain is all real numbers excluding any value that would make the denominator equal zero.
Hence I got x - 1, and x cannot equal -4
So the domain is just all real numbers without -4
Solving for variables in equations is important for many reasons. Of course, it's important to be able to solve for them so you can pass math tests. But even more so, it's important for real-life applications. There are many uses for solving equations. They can provide answers for mathematicians, accountants, insurance companies- you name it! There are way too many to list! It may not seem important now, but just keep working at it! I personally think solving equations is a ton of fun!
The measure of <FCD is 77 degrees
<h3>Circle geometry</h3>
From the given diagram, we have the following:
m<FCD + 90 + m<F = 180 degrees
Given the following parameters
m<BEO = 13 degrees = m<F
Substitute into the formula:
m<FCD + 90 +13 = 180 degrees
m<FCD = 180 - 103
m<FCD = 77 degrees
Hence the measure of <FCD is 77 degrees
Learn more on circle geometry here; brainly.com/question/24375372
Answer:
She will make 217.50 for 29 hours
Step-by-step explanation:
We can find the rate per hour by dividing the money by the number of hours
90/12 =7.5 per hour
She makes 7.50 per hour
If she works 29 hours
Money = rate * hours
= 7.5 * 29
=217.50
She will make 217.50 for 29 hours
Rental - $28
Ingredients- $33
Total $61.00
At $1.30 each you can guesstimate he'd have to sell almost 60 cones to break even.
OR
You can divide 1.30 into $61.00 for about 47 cones to break even. (I rounded up)
To make a profit he would either need to sell double that amount or he could raise the cost of his cone to $2.00 & make profit sooner.
