Equations, Expressions, and Inequalities Q&A: Get Expert Help and Learn from Real-World Examples

Approximate the irrational number sin ${177}^{\circ <!--\; \circ \; -->}$ to 4 significant digits

Deifferential Equations: solve for y(t)
dy/dt+2t(l)=2x(l); x(l)=u(l), y(0)=-1

Solve, graph, and write the solution in interval notation.
1. $|x|\le <!--\; \le \; -->3$
2. $|x+8|<6$
3. $|m-<!--\; -\; -->4|-<!--\; -\; -->8\le <!--\; \le \; -->-<!--\; -\; -->3$
4. $|a|>7$
5. $|x-<!--\; -\; -->2|-<!--\; -\; -->1\ge <!--\; \ge \; -->4$
6. $|x+3|>8$

Solve for E:
$U=[(E-<!--\; -\; -->p_1+1/p_2)/2p_1]+[(E-<!--\; -\; -->p_1+1/p_2)/2p_1][(E-<!--\; -\; -->p_2+1/p_1)/2p_2]+[(E-<!--\; -\; -->p_2+1/p_1)/2p_2]$

If you are driving 70 mph and you look down for 3 seconds. How far have you driven in that time?

to break even in a manufacturing business income or revenue R, must equal the cost of production C. the cost C to produce x skateboards is C = 72 + 16x. The skateboards are sold wholesale for $19 each. So revenue R is given by R = 19x. Find how many skateboards the manufacturer needs to produce and sell to break even.

3y-4=6y-19

Addition expression for on one turn you move 10 spaces forward and 4 spaces backward

Ivan has $8500 to invest. He will invest some of it in a long-term IRA paying 4% simple interest and the rest in a short-term CD earning 2.5% simple interest. After 1 year, Ivan's investments have earned $250 in interest. How much did Ivan invest in each account?

Graph the equation $2x=3y$

$-<!--\; -\; -->4<\frac{-<!--\; -\; -->5x-<!--\; -\; -->2}{-<!--\; -\; -->2}<4$

For Five Stars please complete them all showing all work.
Factor, if possible. These problems will require only one step.
5. 3xy - 6yz
6. 50c - 40bc^2
7. y^2 + 7y - 18
8. b^2 - 7b +12
9. 3x^2 - 8x + 5
10. 4x^2 - 11x - 3
11. 4x^2 + 20x +25
12. 16x - 24x + 9
13. 8x^3 - 125y^3
14. 27x^3 + 64y^3
15. a^3 - 3ab - ac
16. 3a^3 + a^2b - 2a^2c
17. x^2 + 16
18. 4x^4 + 25
19. 64y^2 25z^2
20. 100m^2 - n^2
Factor each Polynomial
10. x^2 - xy - 56y^2
30. 5x^2 - 8x - 4
40. 16x^4 + 48x^3 + 20x^2
Use the different of two squares formula to factor. Be sure to factor out any common factors.
20. 49x^3 - 36x
Use the perfect square trinomiel formulas to factor. Be sure to factor out any common factors.
24. 100y^2 - 20y + 1
Use the sum and difference of cubes formulas to factor. Be sure to factor out any common factors.
40. 27x^3 - 64
Factor if possible. Be sure to factor completely.
24. 5x^2 - x - 2
25. x^3 + 9x^2 14x
34. 1 - 16x^4

The average of the salaries of Tim, Maida, and Aaron is $34,000 per year. Maida earns $10,000 more than Tim, and Aaron's salary is $8,000 less than twice Tim's salary. Please find the salary of each person.

Simplify the rational expression. Find all numbers that must be excluded from the domain of the simplified rational expression in order for it to be equivalent to the original expression.
$\frac{2x-<!--\; -\; -->10}{x^2-<!--\; -\; -->10x+25}$

A media downloaded store sells songs for $1 each and movies for $15 each. You have $60 to spend. How many movies and songs can you purchase for $60?

$(y^3{)}^x=$

Solve the equation: $-<!--\; -\; -->4(3-<!--\; -\; -->x)=3(4x-<!--\; -\; -->6)$

a. what is the least positive intergers c of the form c=22x+55y with x,y are integer. explain
b. let c be the answer in part a. find integers x and y such that c=22x+55y and 0

Two cars belonging to two brothers are in two towns two hundblack miles apart. The brothers decide to meet for a cup of coffee in a town in between the towns they each live in. The first brother starts at 9:00 am drving west at 60 mph. Te second brother starts at 9:00 am drving east at 40 mph. What time do they meet?

Write the equation of a sine function that has the following characteristics.
Amplitude: 4, Period: $7\mathrm{\pi <!--\; \pi \; -->}$ Phase shift: $-<!--\; -\; -->\frac{1}{3}$
Type the appropriate values to complete the sine function.
$y=4\sin <!--\; \; -->(?x+?)$
(Use integers or fractions for any numbers in the expression. Simplify your answers.)