Answer:
1. Write all the equations in standard form, leaving out decimals or fractions.
2. Select the variables to be eliminated; And then you take two of these equations, and you eliminate the variables.
3. Select a different set of two equations and eliminate the same variables as in step 2.
4. Solve two equations containing two variables from steps 2 and 3.
5. Substitute the answer to step 4 into any equation that contains the remaining variables.
6. Check the solution with three original equations.
The questions seems to be lacking some information. By rate I'm going to assume position and in that scenario the answer would be B because the position function is modeled by a linear function.
Our water faucet leaked 3 2/6 liters of water every 3/5 of a hour.
We are to find the rate in liter per hour at which the water faucet leaked.
First, use the number of liters the water faucet leaked in 3/5 of a hour.
This is 3 2/6 = 20/6
Therefore, the number of liters of water faucet leaked in 1 hour is
(20/6) / (3/5)
Before we solve this, we should simplify,
20/6 can be simplified to 10/3
3/5 cannot be simplified
Then, we should modify our problem to use reciprocation instead of a complex fraction,
(10 • 5) / (3 • 3)
This equals 50/9
Now, solve 50/9 for 5.555555555556
This rounds to 5.6
Thus, the required rate at which the water faucet leaked is 5.6 liters per hour.
Answer:
4w² + 82w + 400
Step-by-step explanation:
A polynomial is an expression consisting of variables and coefficients involving addition, subtraction, multiplication, and non-negative integer exponentiation of variables. A quadratic function is a polynomial of degree 2. The standard form of a quadratic equation is:
ax² + bx + c
The moat has width of w inch. Therefore:
combined width of castle and moat = 16 in + w in + w in = 16 + 2w in
combined length of castle and moat = 25 in + w in + w in = 25 + 2w in
The combined area = length * width = (16 + 2w)(25 + 2w) = 400 + 32w + 50w + 4w² = 4w² + 82w + 400
