Algebra Answers

Using the substitution u = 2x, solve the equation 23x = 2(2x+1) + 3(2x)

Consider the shuttle carrying the astronauts is dropped from 100ft. The position 𝑠 of the shuttle is given by the following function as a function of time: 𝑠(𝑡) = −16𝑡 2 + 100.s. What is the domain of this function?

The radioactive isotope gallium-67, used in the diagnosis of malignant tumors, has a biological

half-life of 46.5 hours. The half-life of the isotope is modeled as A = A0 (

1

2

)

t

h

, where h is the

half-life and t is the time in hours. If we start with 100 milligrams of the isotope, how many

milligrams will be left after: 24 hours, and after 1 week?

Jack wants to join a swimming club for the summer he’s considering two options were see is the total cost for the season and end is the number of swimming lessons

option one is represented by C=50n

Option two is represented by C=43n +25

A system of equations is given below, 𝑡𝑥 + 2𝑦 + 3𝑧 = 𝑎 2𝑥 + 3𝑦 − 𝑡𝑧 = 𝑏 3𝑥 + 5𝑦 + (𝑡 + 1)𝑧 = 𝑐 Where 𝑡 is an integer and 𝑎, 𝑏, 𝑐 are real constants. The system does not have a unique solution, but it is consistent. Show that 𝑎 + 𝑏 = 𝑐.

A vehicle has a 20-gal tank and gets 15mpg. The number of miles N that can be driven

depends on the amount of gas

A new pizzeria has opened near you home, the owner has decided to offer a 20% discount on

the opening day on the pizza whose original price is x dollars. The owner is offering additional

15% discount coupon to those who agree to fill a feedback form afterwards. You and your

friends have agreed to provide feedback and thus have become entitled to the additional 15%

discount coupon. Use the concept of composite functions to identify the amount that you will

pay after applying the coupon on the sale price.

Name:

YOUR ASSIGNMENT: Factory Lighting Problem

In this assignment, you may work alone, with a partner, or in a small group. Discuss the results

of your work and/or any lingering questions with your teacher.

You are deciding whether to light a new factory using bulb A, bulb B, or bulb C.

●

Which bulb would be better to use on the factory floor?

●

Which bulb would be better to use in the break room?

To answer these questions, you will compare the energy usage of the three bulbs. The amount

of energy the lights use is measured in units of kilowatt-hours. A kilowatt-hour is the amount of

energy needed to provide 1000 watts

On Monday, the Mars rover traveled 330 cm. On Tuesday, it traveled 210 cm. If the rover stopped every 15 cm to recharge, how many more times did it need to recharge on Monday than on Tuesday?

what is the value of 98/128