Write a system of equations in which both equations must be multiplied by a number other than 1 or -1 before using elimination. Solve the system.

Find the area of the figure. Square with sides of length 10 m

Washing 2 cars and 3 trucks takes 130 min. Washing 2 cars and 5 trucks takes 190 min. How long does it take to wash each type of vehicle?

A patient is not allowed to have more than 330 milligrams of cholesterol per day from a diet of eggs and meat. Each egg provides 165 milligrams of cholesterol. Each ounce of meat provides 110 milligrams. Write an inequality that describes the patient's dietary restrictions for x eggs and y ounces of meat.

Find all real solutions of the equation.

$$\left( \frac { x + 1 } { x } \right) ^ { 2 } + 4 \left( \frac { x + 1 } { x } \right) + 3 = 0$$

Consider the region bounded by the graphs of

$$y = \sin ^ { - 1 } x , y = 0, \text { and } x = 1 / 2$$

a. Find the area of the region. b. Find the centroid of the region.

Jenny's Bakery sells carrot muffins at $2 each. The electricity to run the oven is$120 per day and the cost of making one carrot muffin is $1.40. How many muffins need to be sold each day to break even?

Fill in the blanks. A sequence is called an ________ sequence when the differences between consecutive terms are the same. This difference is called the ________ difference.

The given equation has one real solution. Approximate it by Newton’s Method.

$$x^3$$

-2x-2=0

How are government structured and individual rights protected by state constitutions and local charters?

Convert the rectangular equation to polar form. Assume a < 0. $x^{2}+y^{2}-8 y=0$

When you give the Venetian casino in Las Vegas $5 for a bet on the number 7 in roulette, you have a 37/38 probability of losing$5 and you have a 1/38 probability of making a net gain of $175. (The prize is$180, including your $5 bet, so the net gain is$175.) If you bet $5 that the outcome is an odd number, the probability of losing$5 is 20/38 and the probability of making a net gain of $5 is 18/38. (If you bet$5 on an odd number and win, you are given $10 that includes your bet, so the net gain is$5.) If you bet $5 on the number 7, what is your expected value?

Use trig identities to simplify the expression.

$$sin2(π+θ)$$

$$\dfrac{9+m}{3}=2$$