![\bf f(x)=0.35x^2-2.1x+15.8\qquad \begin{cases} x=\textit{year since 1995}\\ f(x)=\textit{population amount} \end{cases}](https://tex.z-dn.net/?f=%5Cbf%20f%28x%29%3D0.35x%5E2-2.1x%2B15.8%5Cqquad%20%0A%5Cbegin%7Bcases%7D%0Ax%3D%5Ctextit%7Byear%20since%201995%7D%5C%5C%0Af%28x%29%3D%5Ctextit%7Bpopulation%20amount%7D%0A%5Cend%7Bcases%7D)
the equation is a quadratic one, and it has a positive coefficient on the leading term, meaning, is opening upwards, so it has a "burrow" for the vertex.
the minimum or lowest point for a quadratic opening upwards is, well, the vertex point :), the "x" value is the year, the "y" or f(x) value is the population, we're asked for the year, or the x-coordinate of the vertex
well
A - 1766! I hope this helps
Answer:
Line 4
Step-by-step explanation:
6(x+2) = 24
6x+12=24
6x=12
x=2
Answer:
x ≠ 4 or -2
Step-by-step explanation:
the denominator cannot be zero, so factor the bottom equation to get the zeros and those are the domain restrictions.
3x^2 - 6x - 24 ≠ 0
3(x^2 - 2x - 8) ≠ 0 (factor out a 3)
3(x - 4)(x + 2) ≠ 0 (factor equation)
x ≠ 4, x ≠ -2 (use zero product property to find zeros)
Answer:
13
Step-by-step explanation:
Create an equation: g+(G+4)(2)=35
Parentheses: g+2(G+4)=35
Distributive property: g+2g+8=35
Combine like terms: 3g+8=35
Subtractive property: 3g=27
Division property: g=9
Greg is 9. Since Ava is 4 years older you add 4 to find her age. Ava is 13. You take Ava’s age times 2 ( equals 26) then add Greg’s age (equals 35). And it should equal 35.