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Abe rented a bike at $36 for 5 days. If he rents the same bike for 8 days, he has to pay a total rent of $48. Write an equation in standard form to represent the total rent (y) that Abe has to pay for renting the bike for x days.

Write the equation obtained in part A using function notation


A box containing 25 apples was bought for$5.00 if the apples were retailed at 30 cents how much profit was made on this transaction



Use your bicycle to go to the market near your home. Come back to your home by using a different path. Measure and note down the time in seconds and distance in meters, from home to market, and from market to home. Calculate your speed for approach and return. (Note: Take an approximate value of distance, if exact measurement is not possible)


t(x)=-x²+7x+1 and r(x)=5x²-2x+8,find (t-r)(2).


. If f ( x) = x3 − 2 x2 − x + 5 , then the remainder of g ( x) = f ( f ( x)) divided by ( x − 2) is


-5.821 as a fraction


From the table below, for what value of x, y is minimum? Also find this value of y

x: 3 4 5 6 7 8

y: 0.205 0.240 0.259 0.262 0.250 0.224


the inequality x+c>-2.55 has the solution x>4.85. What is the value of c? How do you know?


To solve the equation 5x^2+x-4=2 , you should start by factoring the left side as (5x-4)(x+1). Is the statement correct? Explain in detail. Show how to solve the equation without the use of the quadratic formula.


The sum of the digits of a two-digit number is 8. The result of subtracting the units digit from the tens digit is -4. Define the variables and write the system of equations that can be used to find the number. Then solve the system and find the number.


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