Use the Principle of Mathematical Induction to show that the statement is true for all natural numbers n.Use the Principle of Mathematical Induction to show that the statement "5 is a factor of 7n - 2n" is true for all natural numbers. (Hint: 
What will be an ideal response?
When 
, so the statement is true when 
. Assume the statement is true for some natural number k. That is, 
for some integer m. Then,
.
So the statement is true for 
. Conditions I and II are satisfied; by the Principle of Mathematical Induction, the statement is true for all natural numbers.
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Round to the place value indicated.4,455 to the nearest thousand
A. 5,000 B. 4,000 C. 3,900 D. 4,100
Solve the problem.The formula C = 
(F - 32) expresses the relationship between Fahrenheit temperature, F, and Celsius temperature, C. Use the formula to convert 86°F to its equivalent temperature on the Celsius scale.
A. 97°C B. 30°C C. 66°C D. 6°C
Write the slope-intercept equation (y = mx + b) for a line with the given characteristics.m = 3, passing through (1, -2)
A. y = 3x B. y = 5x - 3 C. y - 5 = 3x D. y = 3x - 5
The function f is one-to-one. Find its inverse.f(x) = 8x2 - 6, x ? 0
A. f-1(x) = 
B. f-1(x) = 
C. f-1(x) = - 
D. f-1(x) = 