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Q: Write the standard equation of the circle shown in the graph. 1) -5 3 -2 -t .3

A: Known fact:The standard equation of the circle is (x - h)2 + (y -k)2 = r2

Q: Find C and a so that f (x) = Ca^x satisfies: f (0) = 2 and f (3) = 54

A: Consider the function f(x)=Cax.Given that f(0)=2 and f(3)=54.Substitute x=0 in f(x)=Cax.

Q: Convert each of the following base ten numerals in the given base: Convert 67 to base three Convert...

A: To convert 67 base 10 to base three.

Q: Solve and graph the solution on a number line

A: We are given an inequality as

Q: If a given line has a negative slope, then what is the sign of the slope of the line that is perpend...

A: Given information:The line has a negative slope.

Q: Find f(g(x)) and g(f(x)) and determine whether the pair of functions f and g are inverses of each ot...

A: The given functions are,

Q: What are the zeros of the function x^2+2x-3 over x^2+3x+2

A: To find the zeroes of the function x2+2x-3 over x2+3x+2.The zeroes of a function are the values such...

Q: Evaluate:

A: The logarithmic expression is,

Q: Solve the inequality and graph the solution set on a real number line. Express the solution set in i...

A: First solve the given inequality as follows.