Answer:
x≤2
Step-by-step explanation:
Answer:
x + 9
Step-by-step explanation:
Since the divisor is in the form of <em>x - c</em>, use what is called <em>Synthetic Division</em>. Remember, in this formula, -c gives you the OPPOSITE terms of what they really are, so do not forget it. Anyway, here is how it is done:
4| 1 5 -36
↓ 4 36
----------------
1 9 0 → x + 9
You start by placing the c in the top left corner, then list all the coefficients of your dividend [x² + 5x - 36]. You bring down the original term closest to <em>c</em><em>,</em> then begin your multiplication. Now depending on what symbol your result is tells you whether the next step is to subtract or add, then you continue this process starting with multiplication all the way up until you reach the end. Now, when the last term is 0, that means you have NO REMAINDER. Finally, your quotient is one degree less than your dividend, so that 1 in your quotient can be an x, and the 9 follows right behind it, giving you the other factor of x + 9.
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Answer:
The fish population will be in 2050 = 27,123
Step-by-step explanation:
Given,
In 2005, the total number of fish were introduced (fish population), PV = 750
The growth rate, i = 8.3% = 0.083
The difference between 2050 and 2005 is (2050 - 2005), n = 45 years
We need to solve this problem with the help of future value of compounding. We know, FV = PV (1+i)^n, where, PV = present value, i = interest rate, n = period.
Therefore, the fish population will be in 2050 = 750 x (1 + 0.083)^45
The fish population will be in 2050 = 27,123.26
2050 fish population = 27,123 (Nearest to whole number).
Answer:
Streamers are $2.50 each
Balloons are $1.50 each
Step-by-step explanation:
Make a system of equations
3s + 15b = 30
2s + 4b = 11
Solve by elimination: multiply the top equation by 2 and the bottom equation by -3.
6s + 30b = 60
-6s -12b = -33
18b = 27
b = 1.5
Plug in 1.5 as b to find s
3s + 15(1.5) = 30
3s +22.5 = 30
3s = 7.5
s = 2.5
The streamers are $2.50 and the balloons are $1.50
Answer:
The expression becomes 3(x+5) = 3x+15
