Answer:

Step-by-step explanation:
The given equation is

We group the linear terms to get:


We compare to

This means
a=1, b=-6 and c=-10
We plug in the values into the quadratic formula:

This gives us





The solutions are

or

42 Feet is Greater than 180 Inches
Because: 1 Foot= 12 Inches
So: 12*42= 540 Inches.
So 42 Feet is Greater.
Answer:
Step-by-step explanation:
<h3>Given</h3>
<u>Inequality</u>: (x-1)(x+2)(2x-7)≤0
<h3>Solution: </h3>
<u>If we solve the corresponding equation (x-1)(x+2)(2x-7)²= 0, we get roots </u>
<u>We need to consider the following 4 intervals: </u>
- (−∞; −2), [−2; 1], (1; 3.5), (3.5; ∞)
<u>1st interval</u> (−∞; −2)
- The expression (x-1)(x+2)(2x-7)² is positive as two of the multiples are negative and one is always positive (square number), and therefore does not satisfy the inequality.
<u>2nd interval</u> [−2; 1]
- The expression is negative as only one of the multiples is negative, and therefore the interval (−1; 2) satisfies the inequality.
<u>3rd interval</u> (1; 3.5)
- The expression is positive as all the multiples are positive. Therefore, the interval (1; 3.5) also does not satisfy the inequality.
<u>4th interval</u>
- The expression is positive as above, and therefore also does not satisfy the inequality.
<u>So, the answer to the inequality is:
</u>
Answer:
The probability is 0.8
Step-by-step explanation:
- if u see the table clearly, there are 30 houses in total with 2 bathrooms.
- by the general definition of probability,
probability of an event P =
- so, here 30 will be the denominator in the above formula(by definition).
- from the table, in the 3rd column and 2nd row (desirable box) i.e, the one which represents 2 bathrooms and 3 bedrooms, has the entry as 24.
- so, the numerator for above given formula will now become 24.
therefore probability P=
- So, the probability is 0.8.