Algebra Answers

Find s and r if (x + 3) is a factor of sx³ + rx² - 28x + 15 and has a remainder of -60 when divided by (x - 3).

Given the function below, algebraically solve the following system of equation. Please show all work.

y= x^2+2x+3

2y-2x=10

You are a Grade 10 representative on the student council and you have been assigned the task of finding a location to House of dance for students of CISE you have narrowed it down to three options which are outlined below.

ancient abyss is a location that charges a flat fee of $200 and $4 dollars per person, beautiful babylon is a location that charges a $99 flat fee and $6 per person, crazy Cleoparta is a location that charges $280 flat fee and $3 per person you will analyze the three options and put together a proposal to submit to the student council outlining your recommendations

A jokester tells you that he has a group of cows and chickens and that he counted 45 heads and 122 feet. How many cows and chickens does he have? (Do not use the strategy of making an equation or systems of equations for this item)

Directions:Express the following as ratios in three ways in SIMPLEST FORM 

(1-3) 14 boys to 7 girls ____ ____ ____

(4-6) 3 tables to 24 people ____ ____ ____

(7-9) 5 apples to 10 oranges ____ ____ ____

Derik ran 3/4 of a mile each way to and from school Monday through Friday.how far did run that week?

2. Observe that 49 = 4 × 9 + 4 + 9.

(a) Find all other two-digit numbers which are equal to the product of their digits plus the sum of their digits.

(b) Are there three-digit numbers which are equal to the product of their digits plus the sum of their digits? Prove your answer.

1. In a certain community there are 1000 married couples. Two-thirds of the husbands who are taller than their wives are also heavier and three-fourths of the husbands who are heavier than their wives are also taller. If there are 120 wives who are taller and heavier than their husbands, how many husbands are taller and heavier than their wives?

How to find the equation of a line which passes through the point of intersection of the of the lines x - 3y =4 and 3x + y =0 and are relatively parallel and perpendicular to the line 3x + 4y =0

A plant box has a lenght of 3 meters more than its width. Which of the following equation best describe the given situation with respect to an area of 160?

A. w+(w+3)=40

B. W(w+3)=160

C.w²+3w—40=0

D.w²+3w—40=0