Answer the question.5x + 3y = 197x + 8y = 48If your friend was going to solve this system of equations by first eliminating y, what general suggestions would you make so your friend could start on this in a systematic way?
What will be an ideal response?
Answers may vary. One possibility: Multiply the first equation by -8, multiply the second equation by 3, and add the two resulting equations together. Solve the resulting equation for x. Substitute the solution for x into one of the original equations and solve for y. Finally, check your overall solution by substituting both values into the other original equation.
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Solve the problem.Wind resistance or atmospheric drag tends to slow down moving objects. Atmospheric drag varies jointly as an object's surface area A and velocity v. If a car traveling at a speed of 30 mph with a surface area of 39 ft2 experiences a drag of 163.8 N (Newtons), how fast must a car with 44 ft2 of surface area travel in order to experience a drag force of 264.88 N?
A. 43 mph B. 48 mph C. 40 mph D. 45 mph
Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator.ln
A. ln
+
B.
C. ln y +
D. 4 ln y + 4
Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting.f(x) = |x - 2|
A.
B.
C.
D.
Find the equation of a circle satisfying the given conditions.Center: (-8, 1); radius:
A. (x - 1)2 + (y + 8)2 = 36 B. (x + 8)2 + (y - 1)2 = 6 C. (x - 8)2 + (y + 1)2 = 6 D. (x + 1)2 + (y - 8)2 = 36