Answer:
x = 1/3 + sqrt(5/2)/3 or x = 1/3 - sqrt(5/2)/3
Step-by-step explanation:
Solve for x:
6 x^2 - 4 x = 1
Divide both sides by 6:
x^2 - (2 x)/3 = 1/6
Add 1/9 to both sides:
x^2 - (2 x)/3 + 1/9 = 5/18
Write the left hand side as a square:
(x - 1/3)^2 = 5/18
Take the square root of both sides:
x - 1/3 = sqrt(5/2)/3 or x - 1/3 = -sqrt(5/2)/3
Add 1/3 to both sides:
x = 1/3 + sqrt(5/2)/3 or x - 1/3 = -sqrt(5/2)/3
Add 1/3 to both sides:
Answer: x = 1/3 + sqrt(5/2)/3 or x = 1/3 - sqrt(5/2)/3
Answer:
<em><u>4</u></em><em><u> </u></em><em><u>photo</u></em><em><u> </u></em><em><u>frames</u></em><em><u> </u></em>
Step-by-step explanation:
<em><u>Hope</u></em><em><u> </u></em><em><u>it</u></em><em><u> </u></em><em><u>will</u></em><em><u> </u></em><em><u>help</u></em><em><u> </u></em><em><u>you</u></em><em><u> </u></em>
Santa and his elves had a workshop that allowed them to produce 22{,}912{,}546{,}99222,912,546,99222, comma, 912, comma, 546, co
zvonat [6]
Answer: 180 times
Step-by-step explanation:
Given the following :
Production capacity of old workshop :22,912,546,992 toys per year
Production capacity of new workshop:
4,134,232,638,937 toys
Approximately how many times as many toys can the new workshop produce each year compared to the old workshop?
Production capacity of new workshop / production capacity of old workshop
= 4,134,232,638,937 / 22,912,546,992
= 180.435
= 180 ( nearest whole number)
Algebra<span><span>Introduction to Algebra
</span>Variables<span>
</span>Expressions<span>
</span>Equations<span>
</span>Solution of an equation<span>
</span>Simplifying equations<span>
</span>Combining like terms<span>
</span>Simplifying with addition and subtraction<span>
</span>Simplifying by multiplication<span>
</span>Simplifying by division<span>
</span>Word problems as equations<span>
</span>Sequences VariablesA variable is a symbol that represents a number. Usually we use letters such as n, t, or x for variables. For example, we might say that s stands for the side-length of a square. We now treat s as if it were a number we could use. The perimeter of the square is given by 4 × s. The area of the square is given by s× s. When working with variables, it can be helpful to use a letter that will remind you of what the variable stands for: let n be the number of people in a movie theater; let t be the time it takes to travel somewhere; let d be the distance from my house to the park. ExpressionsAn expression is a mathematical statement that may use numbers, variables, or both.Example:The following are examples of expressions:2x3 + 72 × y + 52 + 6 × (4 - 2)z + 3 × (8 - z<span>)</span></span>
Number 1 and number 3 are the same because if you are purchasing three tires that is 75% off the tires you need and one of them you get free. the free one becomes the overall discount of 25% off. number 3 is the same, the one quarter represents 25% off of the purchase.
