Answer:
The correct scientific notation for the number 500.0 is 
Step-by-step explanation:
While writing a large number in scientific notation we do below mentioned two things.
- We take any number between 1 and 10
- Then we multiply this number with an exponent of 10.
Hence, any number in scientific notation is in the form 
Here a is any number between 1 and 10.
b is exponent of 10.
Now, writing 500 in scientific notation, we take a = 5
Hence, we have to take b = 2, since 5 multiplied by 100 equas 500.
Thus, we have

An expression does not have an equal sign.
Since the value of a nickel is 5 cents and you want to find out the value of n nickels (which means if you had any number of nickels) the expression would be
.05n
For this case, what we are going to do is use the following property:
Multiply an equation by a scalar.
In this case, the scalar will be:
k = -2
We have then that equation 2 will be:
k * (4x + y) = k * 1
-2 * (4x + y) = - 2 * 1
-8x-2y = -2
Answer:
The property that justifies this manipulation is:
Multiply an equation by a scalar.
<span>c^2 + 5c - 14 = 0 </span>
<span>(c-2)(c+7) = 0 </span>
<span>c-2 = 0 or c+7 = 0 </span>
<span>c = 2 or c = -7 </span>
<span>c^2 - 2c - 15 = 0 </span>
<span>(c-5)(c+3) = 0 </span>
<span>c-5 = 0 or c+3 = 0 </span>
<span>c = 5 or c = -3</span>