296 CHAPTER 3 POLYNOMIAL AND RATIONAL FUNCTIONS 66. P(x) = x + 5x + 10x + 10x + 5x + 1 41. P(x) = 2x6 19x + 49x4 - 88x³ – 158x² + 656x – 280 67. P(x) = xr - 16x %3D 42. P(x) = 2x - 27x + 149x - 464x + 912x - 1087x2 + 665x - 150 68. P(x) = x – 4x² - 3x 43. P(x) = 12x7 – 112x6 + 421x³ – 840xª + 1038x³ %3D 69. Find the Dimensions A cube measures r edge. If a slice 2 inches thick is cut from one the resulting solid has a volume of 567 cub - 938x² + 629x – 210 44. P(x) = x'+ 2x + 3x+ x 70. Find the Dimensions A cube measures n in If a slice 1 inch thick is cut In Exercises 45 to 68, find the zeros of each polynomial function. If a zero is a multiple zero, state its multiplicity. from one face of the cube and then a slice 3 inches thick is cut from another Second cut- face of the cube as shown, 45. P(x) = x³ + 3x2 - 6x -8 the resulting solid has a volume of 1560 cubic inches. Find the dimen- 46. P(x) = x³ – 19x – 30 %3D 47. P(x) = 2x + x² - 25x + 12

Q: 4x 3x + 4 5x

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Q: 2. 9=x-2y 3x + 5 = 2y

A: The given equations are system of linear equations in variables x and y. We solve these by…

Q: (24) Half the product of a number t and 48

A: The objective is to half the product of a number t and 48.

Q: Evalvate S (4sin co) -8cos co) )do

A: Given that: ∫0π(4sinθ-8cosθ)dθ

Q: Number 6.12

A: From part (6.11), Let x be the random variable denote that the amount of snow fall between 1 inch…

Q: 2.763-4.5(2.1x-5.1432)=6.32x+5

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Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.