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Aleksandr-060686 [28]
3 years ago
13

2(log 18 - log 3) + = 2log 1/16

Mathematics
1 answer:
Semmy [17]3 years ago
4 0
What do you need?

2log 3/8

= -0.85
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<h3>Answer:  2</h3>

==========================================================

Explanation:

x = number of years

y = height in feet

The equation for the first tree is

y = x+3

The slope is 1 to represent a rate of 1 ft per year of growth. The y intercept of 3 is the starting height. Refer to y = mx+b form.

For the second tree, the equation is:

y = 0.5x+4

This time we have a slope of 0.5 and a y intercept of 4.

Apply substitution to solve for x

y = x+3

0.5x+4 = x+3

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-0.5x = -1

x = -1/(-0.5)

x = 2

The trees will be the same height in <u>  2  </u> years.

What will that height be? Plug x = 2 into either equation to find y. We should get the same y value.

y = x+3

y = 2+3

y = 5

Or we could say

y = 0.5x+4

y = 0.5*2+4

y = 1+4

y = 5

We've shown that both equations lead to y = 5 when x = 2. This means that at the 2 year mark, both trees are 5 feet tall. This helps confirm we have the correct x value.

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3 years ago
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