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The area of the base of a prism can be expressed as x2 + 4x + 1 and the height of the prism can be expressed as x - 3. What is the volume of this prism in terms of x?
Because the formula for the volume of a prism is V = Bh, where B is the field of the base and h is the height of the prism, V = (x - 3)(x2 + 4x + 1). Use the distributive property to multiply the ?rst term of the binomial, x, through each term of the trinomial, and then the second term of the binomial, -3, through each term of the trinomial: x(x2 + 4x + 1) 3(x2+ 4x + 1). Then distribute: (x • x2) + (x • 4x) + (x • 1) - (3 • x2) - (3 • 4x) - (3 • 1). Simplify by multiplying inside each term: x3 + 4x2 + x - 3x2 - 12x - 3. Use the commutative property to arrange such as terms further to each other. Notice which 1x = x: x3 + 4x2 - 3x2 + x -12x - 3; combine like terms: x3 + x2 - 11x - 3.
The square of one integer is 55 less than the square of the next consecutive integer. Find the lesser integer. Let x = the lesser integer and let x + 1 = the greater integer. T
You plan to retire when you are 65th years old. You are now 25 years old. You plan to buy a pension annuity that will pay you $100,000 per year starting one year after you turn 6
Joe walked 2 1/2 miles to school, 1/3 mile to work, and 1 1/4 miles to his friend's house. How several miles did Joe walk altogether? To find out the total distance walked, add
Statistical inference This is the process of drawing conclusions about attributes of a population based upon information contained in a sample or taken from the population.
Distributive Property _x7=(3x7)+(2x_)
1+1
Peter was 60 inches tall on his thirteenth birthday. By the time he turned 15, his height had increased 15%. How tall was Peter when he turned 15? Find 15% of 60 inches and add
29x27
Consider two bags, A and B, with the following contents Bag A Bag B 3 white marbles 4 white marbles 2 red marbles
If ABCD isaa square of side 6 cm find area of shaded region
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