Answer:
3 different ways
Step-by-step explanation:
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Answer:
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Step-by-step explanation:
The two dinosaurs probably crossed paths at estimated coordinates (- 1, 2.5).
To find where the two equations actually intersect, set them equal to each other.
- 1/2x + 3 = 2x + 4
Subtract 4 from both sides, and add 1/2x to both sides to combine like terms.
2 1/2x = - 1 --> 5/2x = - 1
Multiply by 2/5 on both sides to isolate x
x = - 1(2/5)
x = - 2/5
Now plug in to either of the two equations. I used 2x + 4
- 1/2(- 2/5) + 3 = y
1/5 + 3 = y
y = 3 1/5
The actual coordinates where the dinosaurs crossed paths was (- 2/5, 3 and 1/5).
My original estimate was (- 1, 2 1/2) because based on the graph drawn above the point of interest (the intersection) appears to be below the third unit on the y-axis as well as in between the negative two unit and origin on the x-axis. My estimate was also off because the x-axis is counting by twos which does not necessarily allow for an accurate estimate strictly based on the naked eye.
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Step-by-step explanation: The base of the power in the original equation becomes the base of the log. So we have
.
Next, the exponent in the original equation goes on the other side of the equation and finally, the result in the
original equation goes inside the log.
So we have
which is 7³ = 343 written in logarithmic form.