Their slopes must be the same, but with different y-intercepts.
Here is an example: 2x + 1 and 2x + 4 are parallel lines.
Ways to spot if an expression is not a polynomial:
1) If there is a negative exponent
2) If there is division by a variable
3) If the power is something other than a non-negative integer
If any of these conditions exist, the expression will not be a polynomial. Now consider the options. Option A has negative exponent, Option B involves division by a variable and Option D has a exponent which is not a number.
So, from the given options, option C is the only polynomial
The distance around a circle
Hope this helped ;)
Let n = number of nickels, and p = number of pennies.
The number of coins is 25, so we get this equation.
n + p = 25
The value of the coins is 0.05 per nickel, and 0.01 per penny.
0.05n + 0.01p = 0.73
Now you have a system of equations.
n + p = 25
0.05n + 0.01p = 0.73
Solve the first equation for n:
n = 25 - p
Now substitute into the second equation.
0.05(25 - p) + 0.01p = 0.73
1.25 - 0.05p + 0.01p = 0.73
-0.04p = -0.52
p = 13
There were 13 pennies.
Now we substitute 13 for p in n + p = 25 to find out the number of nickels.
n + 13 = 25
n = 12
There are 13 pennies and 12 nickels.
Check: 13 pennies and 12 nickels does total 25 coins.
13 * 0.01 + 12 * 0.05 = 0.13 + 0.60 = 0.73
The value is $0.73.
Our answer is correct.
The wording of your question suggests that there were answer choices. Mind sharing them?
The system <span>y=-2x^2 y=x-2 would be best written as:
</span><span>y=-2x^2
y=x-2 If you subst. x-2 for y in the first equation, you'll get:
x-2 = -2x^2, or 2x^2 + x - 2 = 0.
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