Simplify the radical expression

Mathematics

2 answers:

eimsori [14]3 years ago

6 0

5(45b)^1/2 times 6(48b)^1/2

LenKa [72]3 years ago

3 0

<span>To multiply two radicals together, we can simply multiply both the values inside the radicals together and put that in a radical.
So for 5*sqrt(45b) * 6*sqrt(48b), we get 30*sqrt(45b*48b) = 30*sqrt(2160b^2). This value can be simplified further by taking out b^2 and 12^2 from the radical giving us the answer 360b*sqrt(15).</span>

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Using linear functions, we have that:

For Company A: $S_A(n) = 31000 + 3000n$

For Company B: $S_B(n) = 38000 + 2000n$

B. The salaries will be the same after 7 years.

A linear function is given by:

$y = mx + b$

In which:

m is the slope, which is the rate of change.
b is the y-intercept, which is the initial value.

Item a:

For Company A, the salary starts at $31,000, with a raise of $3,000 each year. Thus, $b = 31000, m = 3000$ , and the salary after n years is given by:

$S_A(n) = 31000 + 3000n$

For Company B, the salary starts at $38,000, with a raise of $2,000 each year. Thus, $b = 38000, m = 2000$ , and the salary after n years is given by: