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Factor each of the algebraic expressions completely. ${\displaystyle 12x^3-52x^2-40x}$

Andreas buys a new sailboat for $15,540. He estimates that the boat will depreciate by 5% each year. Which exponential function models this situation?
F. ${\displaystyle y=15,540{\left(1.05\right)}^x}$
G. ${\displaystyle y=15,540{\left(0.95\right)}^x}$
H. ${\displaystyle y=-15,540{\left(0.95\right)}^x}$
J. ${\displaystyle y=-15,540{\left(1.05\right)}^x}$

Write an algebraic expression to represent each verbal expression. Five more than the quotient of a number and 4

Does an algebraic expression have a single value? Explain?

It takes a person 50 minutes to get to campus. He spends t minutes walking to the bus stop and the rest of the time riding the bus. His walking rate is 0.06 miles per minute and the bus travels at a rate of 0.5 miles per minute. The total distance walking and traveling by bus is given by the algebraic expression ${\displaystyle 0.06t+0.5(50-1)}$.
(a) Simplify the algebraic expression (b) Use each form of the algebraic expression to determine the total distance that the person travels if the person spends 20 minutes walking to the bus stop.
(a) The simplified expression is. (Do not factor.) (b) Using the given expression, it is found that the total distance that the person travels is miles if he spends 20 minutes walking to the bus stop. Using the simplified expression, it is found that the total distance that the person travels is miles if the person spends 20 minutes walking to the bus stop.

Show that no finite field is algebraically closed

The sum of the first n odd natural numbers is equal to ${\displaystyle n^2}$

Which digit is in the ten thousands place in 782,341,693?

Translate twelve less than three times a number, x in algebraic expression.

Write the expression as an algebraic expression in x for ${\displaystyle x>0}$.
${\displaystyle \sin \left({\tan }^{-1}x\right)}$

Find the value of the given expressions
a) ${\displaystyle {(2+3)}^2;}$
${\displaystyle 2^2+3^2}$
b) ${\displaystyle {(8+10)}^2;}$
${\displaystyle 8^2+{10}^2}$
c) Check whether the given statement is true or false:
${\displaystyle Thegiven\exp ressionsarePSK{(a+b)}^2=a^2+b^2}$

Write the English phrase as an algebraic expression. Then, simplify the expression. Let x represent the number. The difference between the product of three and a number and two times the number. What is the algebraic expression? ${\displaystyle 3x-2x}$ (Do not simplify.) What is the simplified expression?

A person on an assembly line produces P items per day after t days of training, 400 where ${\displaystyle P\left(t\right)=}$ How many days of training will it take for a person to ${\displaystyle 1+23e}$ produce 340 items? (Find algebraically.)

Three cousins have ages that are consecutive integers. The product of the two older cousins

You had $10,000 to invest. You put x dollars in a safe, government-insured certificate of deposit paying 5% per year. You invested the remainder of the money in noninsured corporate bonds paying 12% per year. Your total interest earned at the end of the year is given by the algebraic expression ${\displaystyle 0.05x+0.12(10,000-x)}$.
a. Simplify the algebraic expression.
b. Use each form of the algebraic expression to determine your total interest earned at the end of the year if you invested $6000 in the safe, government-insured certificate of deposit.

Solve the equation algebraically. Verify your results using a graphing utility.
${\displaystyle x(1+2x)=(2x-1)(x-2)}$

Solve the following equation algebraically. Round to 2 decimal places. Show all work.
${\displaystyle 5e^{x+2}-8=14}$

A community college offers courses in Applied Algebra, Business Calculus, and Statistics. Each section of Applied Algebra has 50 students and earns the college $20,000 in revenue. Each section of Business Calculus has 20 students and earns the college $50,000 in revenue. Each section of Statistics has 30 students and earns the college $60.000 in revenue. Assuming the college wishes to offer a total of 7 sections, accommodate 230 students, and bring in $320,000 in revenue, how many sections of each course should they offer?
? sections of Applied Algebra
? sections of Business Calculus
? sections of Statistics

Solve the equation algebraically. Verify your results using a graphing utility.
${\displaystyle 5y+6=-18-y}$

It takes 6 men 3 days to lay the foundations for a 30 sqm building. How many men will they need to lay the foundations of a 100sqm building and it needs to be completed in 2 days?