Answer:
Step-by-step explanation:
5x^2 +3 = 83 . . . . given
5x^2 = 80 . . . . . . .subtract 3
x^2 = 16 . . . . . . . . .divide by 5
x = ±√16 = ±4 . . . take the square root
The smaller value of x is -4; the larger value, +4.
Answer:
26. 106
27. -7.9% per year
28. shrinking
29. 31
30. $9560.92
31. $8243.61
Step-by-step explanation:
26. The value when t=0 is 106·.921^0 = 106·1 = 106
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27. The rate of change is 0.921 -1 = -0.079 = -7.9% per year. It is a good idea to put the sign with the rate of change, so you know whether it is increasing or decreasing. Also, units are a good idea: "per year."
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28. The negative rate of change means the population is shrinking.
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29. In 15 years ...
y = 106·0.921^15 ≈ 30.8 ≈ 31
In 15 years the deer population is predicted to be 31 deer.
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30. $5000(1 +.065/12)^(12·10) ≈ $9560.92 . . . . units are a good idea (dollars)
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31. $5000·e^(.05·10) ≈ $8243.61 . . . . the exponential term has a time multiplier
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Numbers are correct. IMO, some details need attention.
B.) 173 degrees
the answer is B
So you have your y value which is 5. Plug it in to the equation. You get 5=2x-1. Now you wanna solve for x so you want to get x=
Move the 1 to the other side and it becomes the opposite so it’s positive one instead of negative. Now you get 6=2x. You want to get x by itself and since 2x is the same as 2 times x, you want to do the opposite of multiplication and divide. So divide both sides by 2 and you get 3=x.
Answer:
10
Step-by-step explanation:
each tick mark is worth 5
there is the -10, then one to the right is -5, next is 0, next is 5, next one (the one where the x is) 10, next 15, next 20.