The angles measuring xx and 2x form a linear pair (straight angle) so the sum of their measures is 180°. Hence,

x+2x=180

3x=180

x=60

x+2x=180

3x=180

x=60

Question

asked 2021-05-09

Find the linear approximation of the function \(g(x)=(1+x)^{\frac{1}{3}}\) at a=0 and use it to approximate the numbers \((0.95)^{\frac{1}{3}}\) and \((1.1)^{\frac{1}{3}}\).

asked 2021-08-12

You work at the local pool as a lifeguard and you also work in the snack bar. You earn $15 per hour lifeguarding and $8 per hour working in the snack bar. Last week you worked a total of 20 hours and earned $202.

a. Write an equation in standard form for the hours you worked.

b. Write an equation in standard form for the money you earned.

c. Graph both equations on the same coordinate plane.

d. Determine how many hours you worked as a lifeguard and how many hours you worked in the snack bar. Explain your reasoning.

a. Write an equation in standard form for the hours you worked.

b. Write an equation in standard form for the money you earned.

c. Graph both equations on the same coordinate plane.

d. Determine how many hours you worked as a lifeguard and how many hours you worked in the snack bar. Explain your reasoning.

asked 2021-09-14

If xy + ey = e, find the value of y" at the point where x = 0.

asked 2021-05-16

The base of S is an elliptical region with boundary curve \(9x^2 + 4y^2 = 36\). Cross-sections perpendicular to the x-asis are isosceles right triangles with hypotenuse in the base.