Describe the curve defined by the vector function r(t) = 3 + t, 5 + 4t, −2 + 3t . solution the corresponding parametric equations are x = 3+t , y = 5 + 4t, z = −2+3t which we recognize from these equations as parametric equations of a line passing through the point (3, 5, −2) and parallel to the vector 1, 4, 3 . alternatively, we could observe that the function can be written as r = r0 + tv, where r0 = 3, 5, −2 and v = t⟨1, 4, 3⟩ , and this is the vector equation of a line as given by this equation.

Rewrite the hyperbolic equation 4y^2 -9x^2 +54x-8y-113=0

Eight people were asked what the balance of their savings account at the beginning of the month was and how much it increased or decreased by the end of the month. create a scatter plot that represents the data that is shown in the table. the x-axis represents the beginning balance in thousands of dollars and the y-axis represents the change in the savings account in hundreds of dollars. name beginning balance (in thousands of dollars) change in savings account (in hundreds of dollars) jimmy 5 3 kendra 4 7 carlos 5 4 yolanda 3 1 shawn 2 5 laura 3 2 andy 5 6 georgia 4 3

What is the value of y? round to the nearest tenth