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A car travels at a rate of (4x2 - 2). What is the distance this car will travel in (3x - 8) hours?
Use the formula distance = rate × time. Through substitution, distance = (4x2 - 2) × (3x - 8). Use FOIL (First terms of each binomial multiplied, Outer terms inside each multiplied, Inner terms of each multiplied, and Last term of every binomial multiplied) to multiply the binomials: (4x2 • 3x) - (8 • 4x2) - (2 • 3x) - (2 • -8). Simplify each term: 12x3 - 32x2 - 6x + 16.
in 1970 a record 1.5 of rain fell in one minute at Basse Terre, guadaloupe in the caribbnean.at this rate, how much rain fell in 3 seconds or 0.05 of a minutes?
Find the ratio in which the line segment joining A(6,5) and B(4,-3) is divided by the line y=2 (Ans:3:5) Ans : Let the ratio be k:1 x = 4 k + 6/ k +1 y
The law of cosines can only be applied to acute triangles. Is this true or false?
Problem. You are given an undirected graph G = (V,E) in which the edge weights are highly restricted. In particular, each edge has a positive integer weight of either {1, 2, . .
Determine the measure of the vertex angle of the isosceles triangle. a. 34° b. 16° c. 58° d. 112° d. Simply substitute x = 34 into the equation for the vertex angle,
Solve the subsequent IVP and find the interval of validity for the solution. y' + (4/x) y = x 3 y 2 , y(2) = - 1, x > 0 Solution Thus, the first thing that we re
Patrick has a rectangular patio whose length is 5 m less than the diagonal and a width which is 7 m less than the diagonal. If the field of his patio is 195 m 2 , what is the lengt
how to add a fraction with an uncommon denomoninator
Hydrostatic Pressure and Force - Applications of integrals In this part we are going to submerge a vertical plate in water and we wish to know the force that is exerted on t
what is Fibonacci Sequence? The most famous sequence in mathematical history is called the Fibonacci sequence, discovered by the 12th-century mathematician Leonardo Fibonacci o
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