Answer:
Step-by-step explanation:
<u>The line with points (1,2) and (-1,-8). Work out its equation.</u>
<u>The slope is:</u>
- m = (-8 - 2)/(-1 - 1) = -10/-2 = 5
<u>To find the y intercept, substitute x and y-xoordinates of point (1,2):</u>
- 2 = 5(1) + b
- b = 2 - 5
- b = -3
<u>The line is:</u>
<u>Point (x, 17), substitute y-coordinate and solve for x</u>
- 17 = 5x - 3
- 5x = 17 + 3
- 5x = 20
- x = 20/5
- x = 4
Answer:
0, for q ≠ 0 and q ≠ 1
Step-by-step explanation:
Assuming q ≠ 0, you want to find the value of x such that ...
q^x = 1
This is solved using logarithms.
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x·log(q) = log(1) = 0
The zero product rule tells us this will have two solutions:
x = 0
log(q) = 0 ⇒ q = 1
If q is not 0 or 1, then its value is 1 when raised to the 0 power. If q is 1, then its value will be 1 when raised to <em>any</em> power.
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<em>Additional comment</em>
The applicable rule of logarithms is ...
log(a^b) = b·log(a)
Answer:
17.606
Step-by-step explanation:
root of 310 = 17.606
