Rewrite the following parametric equations in rectangular form.

x=e^3t and y = e^-t

a. y=3/x, x>0

b. x = 1/y^3, y>0

c. x = - y^3, y<0

d. y = 1/x^3, x>0

Solve for x Write the smaller solution first, and the larger solution second. x^2+12x+32=0 smaller x= larger x=

Select the expressions that are equivalent to18m - 12 A. 6m - 4 + 6m - 4 + 6m - 4 B. 12m + 6 - 6m - 6 C. 6 (3m - 2 D. 3 (6m - 4) E. 24n - 4² + 8 - 6m

If £31 = 500 rubles, how many £ are in 992 rubles? Give your answer to 2 dp.

What are the domain and range of the function? y=2√3x+4-5 A. x ≥ - 4/3; y ≥ - 5 B. x ≥ 4/3; y ≥ - 5 C. x ≤ - 4/3; y ≤ - 5 D. x ≥ - 4/3; y ≤ - 5

Bret needs 450 packs of paper for next week. He has 284 packs of paper. How many more packs of paper dose bret need?

On a 15-hour trip Rob drove 35%of the time and Mark drove the remainder of the time how many hours did Mark drive?

True or false a digit in one place represents one tenth of what the same digit represents two places to the left. explain why

These are lines that intersect to form right angles. Example: The formed by x-axis and the y-axis, a line with a slope of 3 and another line with a slope of - 1/3, the sides of a rectangle, and the sides of a square form this kind of line or segment.

A mixture of dimes and quarters has a total value of $10.20. There are 57 coins in all. How many type of each coin is present?

Amy went to soccer practice at 10:30 a. m. She returned home at 1:25 p. m. How long was Amy at soccer practice,