Find the x-and y-intercepts of this equation. f(x)=-x+2

To calculate:The score Grant must earn on his fifth test to have an average of 90 if on Grant's four College Algebra tests his scores were 76, 91,97 and 87.

To calculate: The number of days after which, 250 students are infected by flu virus in the college campus containing 5000 students. If one student returns from vacation with contagious and long- lasting flu virus and spread of flu virus is modeled by ${\displaystyle y=\frac{5000}{1+4999e^{-0.8t}},t\ge 0}$.
Where, yis the total number of students infected after days.

Starting from the point ${\displaystyle (3,-2,-1)}$, reparametrize the curve ${\displaystyle x\left(t\right)=(3-3t,-2-t,-1-t)}$ in terms of arclength.

I understand the process for how Eigenvalues are involved in Differential Equations. If you have Differential System of Equations like this
${\overrightarrow{x}}^{\prime }=\left(\begin{array}{cc}2& 1\\ 0& 1\end{array}\right)\overrightarrow{x}$
The solution to that System of Differential Equations is a Linear Combination of e to the power of the eigenvalues times the corresponding eigenvectors.
$\overrightarrow{x}=C_1{e}^{2t}\left(\begin{array}{c}1\\ 0\end{array}\right)+C_2{e}^t\left(\begin{array}{c}-1\\ 1\end{array}\right)$
However, what I am struggling with figuring out how Generalized Eigenvalues translate to the solutions in Differential Equations. If you take this System of Differential Equations
${\overrightarrow{x}}^{\prime }=\left(\begin{array}{ccc}1& 0& 0\\ 3& 1& 0\\ 6& 3& 1\end{array}\right)\overrightarrow{x}$
The solution to this Differential Equations is
$\overrightarrow{x}=C_1{e}^t\left(\begin{array}{c}1\\ 3t\\ 6t+\frac{9}{2}{t}^2\end{array}\right)+C_2{e}^t\left(\begin{array}{c}0\\ 1\\ 3t\end{array}\right)+C_3{e}^t\left(\begin{array}{c}0\\ 0\\ 1\end{array}\right)$
But the eigenvectors of this matrix (including the generalized eigenvectors) are
${\overrightarrow{v}}_1=\left(\begin{array}{c}0\\ 0\\ 1\end{array}\right),{\overrightarrow{w}}_1=\left(\begin{array}{c}0\\ 1\\ 3\end{array}\right),{\overrightarrow{w}}_2=\left(\begin{array}{c}1\\ 1\\ 3\end{array}\right)$
These eigenvectors do share some similarities to the solution to the System of Equations. However, the
$6t+\frac{9}{2}{t}^2$
term in the solution is one I have no idea how generalized eigenvectors relate. May someone please explain how these eigenvectors translate into Differential Equations?

If Julia is traveling along a highway at a constant speed of 50 miles per hour, how far does she travel in two hours and 30 minutes?

For the following exercises, determine whether the equation represents exponential growth, exponential decay, or neither. Explain. y=300(1−t)^5

To identify:The error in the hypothesis test.