Answer:
The quotient is 3x - 11 + 60/(x + 5) ⇒ 2nd answer
Step-by-step explanation:
* We will use the long division to solve the problem
- The dividend is 3x² + 4x + 5
- The divisor is x + 5
- The quotient is the answer of the division
- If the divisor not a factor of a dividend, the quotient has
a remainder
* Lets solve the problem
- At first divide the first term in the dividend by the first term in
the divisor
∵ 3x² ÷ x = 3x
- Multiply the divisor by 3x
∴ 3x (x + 5) = 3x² + 15x
-Subtract this expression from the dividend
∴ 3x² + 4x + 5 - (3x² + 15x) = 3x² + 4x + 5 - 3x² - 15x = -11x + 5
- Divide the first term -11x in the new dividend by the first
term x in the divisor
∴ -11x ÷ x = -11
- Multiply the divisor by -11
∴ -11(x + 5) = -11x - 55
-Subtract this expression from the new dividend
∴ -11x + 5 - (-11x - 55) = -11x + 5 + 11x + 55 = 60
∴ The quotient is 3x - 11 with remainder = 60
* The quotient is 3x - 11 + 60/(x + 5)
Answer:
$24.35
Step-by-step explanation:
We will use the compound interest formula provided to solve this problem:
<em>P = initial balance</em>
<em>r = interest rate (decimal)</em>
<em>n = number of times compounded annually</em>
<em>t = time</em>
<em />
First, change 1% into a decimal:
1% -> 
-> 0.01
Since the interest is compounded monthly, we will use 12 for n. Lets plug in the values now:
Lastly, subtract <em>A </em>from the principal to get the interest earned:
If sound travels through air at around 13 of a kilometer per second, and thunder is heard 6 seconds after a flash of lightning, it would be 78ths of a kilometer. Although, I can't simplify that for you. Sorry. ^-^
When x = -6 the denominator = 0
There is a hole in the graph at (-6,0)
A. 2(-2) - 3
-4 - 3
-7
b. 2(7) - 3
14 - 3
11
2(-4) - 3
-8 - 3
- 11
