Graph the rational function f of x equals quantity 4 times x minus 3 end quantity over quantity x plus 2 end quantity. A rational function is graphed in the first quadrant and in the second and third quadrants is another piece of the graph. The graph approaches an imaginary horizontal line at y equals 3 and approaches an imaginary vertical line at x equals 5. A rational function is graphed in the second quadrant and in the third and first quadrants is another piece of the graph. The graph approaches an imaginary horizontal line at y equals 2 and approaches an imaginary vertical line at x equals negative 4. A rational function is graphed in the second quadrant and in the third and first quadrants is another piece of the graph. The graph approaches an imaginary horizontal line at y equals 4 and approaches an imaginary vertical line at x equals negative 2. A rational function is graphed in the first quadrant and in the second and third quadrants is another piece of the graph. The graph approaches an imaginary horizontal line at y equals 5 and approaches an imaginary vertical line at x equals 3.

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step-by-step explanation:

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b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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step-by-step explanation:

d. $180

step-by-step explanation:

if the dimensions of the room is 9ft by 12 ft, we have the area of the floor as,

so the area of the floor is 108 square feet, converting that into square yards we get,

the cost of carpet is $15 per square yard, therefore the cost of carpet for 12 square yards is,

hence, the cost of carpet is $180.

assuming the dimensions of the room be,

15 ft by 12 ft

so, the area of the floor of that room is,

we can convert 180 square feet into square yards, we know that,

1 sq ft = 0.111 sq yard

so, 180 square feet is,

so the area of floor is 20 square yards.

now, the cost of carpet is 15 dollars per square yard, therefore the cost of carpet for 20 square yards is,

so, it will cost $300.

a

step-by-step explanation: