Provide an appropriate response.The formula for the total resistance of a circuit is Rt = 
. If Rt = 8 ?, and R2 = 10 ?, solve the equation for R1.
Fill in the blank(s) with the appropriate word(s).
40 ?
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Write the equation of the axis of symmetry.f(x) = -2x2 + 8x - 12
A. x = -4 B. x = 2 C. x = 4 D. x = -2
Solve the equation for 
.
?
What will be an ideal response?
Solve the direct variation.If y varies directly as z and y = 285 when z = 15, what is the value of y when z = 13?
A. 225 B. 169 C. 361 D. 247
For each integer n ? 3, let P(n) be the equation
(a) Is P(3) true? Justify your answer.
(b) In the inductive step of a proof that P(n) is true for all integers n ? 3, we suppose P(k) is true (this is the inductive hypothesis), and then we show that P(k + 1) is true. Fill in the blanks below to write what we suppose and what we must show for this particular equation.
Proof that for all integers k ? 3, if P(k) is true then P(k + 1) is true:
Let k be any integer that is greater than or equal to 3, and suppose that __________.
We must show that __________.
(c) Finish the proof started in (b) above.