Let n = number
" product of 3 and a squared number" translates to 3n²
"sum of the number and 4" translates to n + 4
The word "is" becomes your equals sign.
3n² = n + 4 is your equation.
We have been given that Sterre charges $35 to file tax returns, but files for free if she only needs the easiest form. Also, she donates $2 to clean water projects per tax return she files.
Further we know that Sterre charged $7,245 and made a donation of $1,242 this year for the tax returns she filed.
Let x be the number of free income tax returns and y be the number of $35 income tax returns.
Therefore, we can set up:
Since she donates $2 for each return that she files, therefore, we can set up:
Therefore,
Sterre filed 414 tax returns for free and filed 207 tax returns for $35.
Answer:
2160 units square
Step-by-step explanation:
We are given the perimeter of 182 units and that the lengths are 11 more units than the width. So the length is W+11, eleven more than the width. There is also 2 width sides so the sum of the lengths are 2W+22. There is also 2 width sides so if you add that to the equation the perimeter equals 4W+22.
4W+22=182
4W=160
W=40
So the width is 40 units, and the length is 11 more so the length is 54 units. Multiply these two numbers to get the area. 44*54=2160 square units.
Formula: f(x) = a(x – h)2 + k
transformation: 1 unit right 2 units up
vertex: (h,k) -> (1,2) it’s positive because it has to be the opposite
maximum/minimum: maximum
range: (-∞, ∞)
domain: y ≥2
