We can use quadratic formula to determine the roots of the given quadratic equation.
The quadratic formula is:
b = coefficient of x term = -11
a = coefficient of squared term = 2
c = constant term = 15
Using the values, we get:
So, the correct answer to this question are option B and D
A factor of 30 is chosen at random. What is the probability, as a decimal, that it is a 2-digit number?
The positive whole-number factors of 30 are:
1, 2, 3, 5, 6, 10, 15 and 30.
So, there are 8 of them. Of these, 3 have two digits. Writing each factor on a slip of paper, then putting the slips into a hat, and finally choosing one without looking, get that
P(factor of 30 chosen is a 2-digit number) = number of two-digit factors ÷ number of factors
=38=3×.125=.375
Example 1 Perform the indicated operation for each of the following.
<span>(a) </span>Add to
<span>(b) </span>Subtract
Solution
(a) Add to .
The first thing that we should do is actually write down the operation that we are being asked to do.
In this case the parenthesis are not required since we are adding the two polynomials. They are there simply to make clear the operation that we are performing. To add two polynomials all that we do is combine like terms. This means that for each term with the same exponent we will add or subtract the coefficient of that term.
In this case this is,
[Return to Problems]
(b) Subtract from .
Again, let’s write down the operation we are doing here. We will also need to be very careful with the order that we write things down in. Here is the operation
TAZZ WAZ HEA :)
Will ran 3.23 + 4.15 = 7.38 in those 2 weeks, which rounds up to 7.4 km.
Chuck ran 8.75, which rounds to 8.8.
8.8 - 7.4 = 1.4 km
This means that Chuck ran 1.4 km more than Will, therefore the answer is D. about 1.4 km.
Hope this helps :)
