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Perform indicated operation.




1.A number which is 1/8 less than 56 is how much?




2.32 diminished by what part equals 28?


complete solutions

(3.33<-145°)*(6.79<97°)

(5e5.6i)/(9.75e-0.37i)



It costs a bakery Php 15 to make a loaf of bread and Php 30 to make a pineapple pie. Production costs of these items cannot exceed Php 300. There must at least be 15 of these items. Let x represents the total number of loaf bread to be made, and y be the number of pineapple pie.Which system of inequalities shows the various combinations of the bakery can produce with these two items?

1. Solve x2 + 2x − 15 = 0 by factoring. Find both the sum and the product of the zero.

2. Suppose the monic (leading coefficient is one) quadratic polynomial x2+ax+b has zeros r1 and

r2. Write the polynomial in factored form. Multiply the factored form out. What relationships

do you find between this product and the coefficients of the original polynomial.

3. Factor the polynomial x3 + 5x2− 2x- 2

4. Find the sum of the zeros and the product of the zeros. Now find the sum of all the double products of the zeros (i.e., r1r2 + r1r3 + r2r3). What is the relationship between these three values and the coefficients of the polynomial?

4. Suppose the monic cubic polynomial x3 + ax2 + bx + c has zeros r1, r2, and r3. Write the polynomial in factored form and multiply the factors. Write the relationships between the coefficients of each form of the polynomial.

5. Suppose the monic quartic polynomial x4 + ax3 + bx2 + cx + d has zeros r1, r2, r3, and r4.



Thatobaked 25 muffins. He gave 3/25 of the muffins to his friend and 9/25 of the muffins to his sister.what fraction of the muffins is left?


Kgabo completed 2/5 of a job. The next day he completed 3/8 of the remaining job. The part of the job that




is still left, given as a fraction, is


What is a function that has a domain of (-infinity,9)U(9,infinity)


Atmospheric pressure P

 in pounds per square inch is represented by the formula P=14.7e^−0.21x

where x is the number of miles above sea level. To the nearest foot, how high is the peak of a mountain with an atmospheric pressure of 8.163

pounds per square inch? Hint: There are 5280 feet in a mile.


Atmospheric pressure P in pounds per square inch is represented by the formula P=14.7e^−0.21x, where x is the number of miles above sea level. To the nearest foot, how high is the peak of a mountain with an atmospheric pressure of 8.163 pounds per square inch? Hint: There are 5280 feet in a mile.


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