Algebra 2 Equations and Inequalities: Get Answers Here

Solve by applying the zero product property.
$(x-3)(x+7)=0$
1.$x=-<!--\; -\; -->3,x=7$
2. $x=-<!--\; -\; -->3,x=7$
3. $x=3,x=-<!--\; -\; -->7$
4.$x=-<!--\; -\; -->3;x=-<!--\; -\; -->7$

Factor the Trinomial:
$$2n^3+3n^2-<!--\; -\; -->9n$$

Show how to make the following computation easier to do mentally by using the commutative, associative, or distributive properties: 99(25) =

Express $$y+4=7(x-<!--\; -\; -->9)$$ in standard form.

Lowe's sells a very popular remote control operated ceiling fan, the Lantern Bay 54-in Matte Black LED Indoor/Outdoor Ceiling fan, with most of the sales being made in the summer months. Lowes makes a one-time purchase of these fans prior to each summer season at a cost of $40 each and sells each Lantern Bay fan for $200. Any fans unsold at the end of the summer season are marked down to $50 and sold in a special fall sale. By experience, all marked-down fans are sold. The following is the number of Lantern Bay fans sold during the last past 10 summers: $30,50,30,60,10,40,30,30,20,40.$
1. Estimate the mean and the variance of the demand for Lantern Bay fans each summer.
2. Assume that the demand for Lantern Bay fans each summer follow a normal distribution, with mean and variance given by your answer on 1). Determine the optimal number of fans for Lowes to buy prior to each summer season.

Find the relative extrema of the following function
$$f(x)=\frac{2x^2}{x^2-<!--\; -\; -->1}$$

Let n be a natural number. How many generators does $$Z_2^n$$ have? Describe them explicitly.

A barbeque stand sold twice as many regular size sandwiches as large sandwiches. The regular ones sold for $4 each and the large sandwiches sold for $5 each. The total sales amount was $585. How many of each kind were sold?

A rectangles width is defined as W. Its length is defined as 4 less than 3 times the width. Define the Area of the Rectangle in its expanded from.

Sara invested money at a bank that paid 3.3% annual interest.compounded quarterly. If she had $6750 at the end of 5 yr, what was her initial investment?

HEEELP. . The owner of the “CD Universe” website just bought 1000 CDs by the same musical artist. Each CD cost $6.45. CD Universe decides to sell them to its customers for $12.95 each. What formula could be used to calculate the profit/loss, p, for selling n CDs?

A store owner want to develop a new snack mix by mixing chocolate and trail mix. How many pounds of chocolate costing $8.60 per pound should be mixed with trail mix costing $3.00 per pound to create a 27 pound mixture worth $5.90 per pound.

A newborn child receives a ​$6,000 gift toward a college education from her grandparents. How much will the ​$6,000 be worth in 19 years if it is invested at 6.5​% compounded​ quarterly? It will be worth $ ?

Solve:
$$-<!--\; -\; -->\sqrt{81a^2}$$

The owner of the plant nursery where you work tells you to fill 350 milliliter bottles from 30 liter drum of fertilizer. how many 350 milliliters bottles should you bring from the supply room

A ball is thrown across a field from a height of 6 feet above the ground. The position y of the ball above the ground is modeled by $$y(x)=-<!--\; -\; -->\frac{32}{400}{x}^2+x+6$$, where x is the distance (ft) that the ball has traveled horizontally. At what exact location x does the ball reach its maximum height?

Simplify:
(1/4 2nd power divided (2 1/2 -3/4) +5/7)

Meghan Hughes deposits $4,300.00 in an account that pays simple interest. When she withdraws her money 8 months later, she receives $4,529.33. What rate of interest did the account pay? Round to the nearest whole percent.

Simplify the rational expression.
$$\frac{x^2-<!--\; -\; -->7x-<!--\; -\; -->30}{x^3+27}$$

Simplify the following expressions, free of negative exponents.
$$(2x^3{y}^{-<!--\; -\; -->4}{z}^2{)}^4(3(x^{-<!--\; -\; -->15}{y}^9{z}^{-<!--\; -\; -->5}))$$