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Answers by Muhammad C.

Let x = original side measure of square lot Let a = original area   x^2 = a (x - 3)(x - 5) = a - 185 a = x^2 - 8x +15 + 185 = x^2 - 8x + 200 x^2 = x^2 - 8x + 200 0 = -8x + 200 8x = 200 x = 25   The original square corner...

Question below (answer)

Let c = CD Let m = money market account   c + m = 20,000 .06c + .045m = 1120   Multiply first equation by .06. You get:   .06c + .06m = 1200 .06c + .045m = 1120   Subtract these two equations. You get:  ...

When you put the value of 0 into the function, you come up with a value of 1/0 - 2*Infinity. When you get a value like this, then you must find the limit of this function from the left and the right. However, since there is no value for a logarithmic function raised to any power that will render...

The second freight train traveled for 6 hours at 70 miles per hour. This means that the freight train traveled 420 miles. Since it caught up with the first freight train, then that first train had to have also traveled 420 miles. However, the first freight train had traveled 420 miles over a...

Car travel = (20 km/hour)(1 hour) + (65 km/hour)(2 hour) + (85 km/hour)(1 hour) = 20 km + 130 km + 85 km = 235 km   Average speed = distance/time = (235 km)(4 hours) = 58.75 km/hr

Solve the system (answer)

You need to turn both equations into matrices. I can't do that from this tablet though.    

h = pounds of high quality coffee   l = pounds of low quality coffee   h + l = 170   In order for Sarah to make this blended coffee, she needs to make sure that the cost of the input equals the cost of the output.   5.25h + 2.50l = 4.12...

Word problem (answer)

Rewrite the problem as two linear equations   r = price of 1 lb. of rice   p = price of 1 lb. of potatoes   20r + 30p = 29.80 30r + 12p = 29.52   Multiply first equation by 1.5. You get:   30r + 45p = 44.70 30r...

There are a couple of ways to attack this, but I will choose my way.   Let's rewrite the expression as:   (x^3 - 8)/(x - 2) + 1/(x - 2)   This is equal to our original expression.   When factoring a difference of two cubes you get this:   a^3...

Since these trigonometric functions are reciprocals of each other, when one is zero the other is at infinity. Therefore the lowest value for the sum of the squares of each the tangent and cotangent function would be where the value of each is 1 or -1 (at pi/4, 3pi/4, 5pi/4, 7pi/4). Therefore,...