Answer: 2 rational solutions
Step-by-step explanation:
When the discriminant, b² + 2a, is greater than 0, there are two real solutions. 49 is the perfect square of 7, so the solutions are also rational: plus and minus 7
Answer : option A
To find the range of scores that represents the middle 50 % of the student who took the test , we find inter quartile
Inter quartile range is the middle 50% of the given range of scores.
The difference between the upper quartile and lower quartile is the inter quartile that is middle 50%
From the diagram , we can see that
Upper quartile = 89
lower quartile = 65
So range is 65% to 89%
40 degrees is your answer. Just click your pic and use a protracter and get 40. I hope I helped!
Answer:
6 and -8
Step-by-step explanation:
Solve:
xy = 48
x + y = -2
You can say y = -2-x = -(x+2) and then substitute that in the first:
-x(x+2) = 48
-x² -2x - 48 = 0
x² + 2x + 48 = 0
Quadratic formula can do the rest if you don't "see" the factorization.
Answer:
<u>There are 17 terms in the sequence</u>
Step-by-step explanation:
<u>Arithmetic Sequence
</u>
An arithmetic sequence is a list of numbers with a definite pattern by which each term is calculated by adding or subtracting a constant number called common difference to the previous term. If n is the number of the term, then:

Where an is the nth term, a1 is the first term, and r is the common difference.
In the problem at hand, we are given the first term a1=13, the last term an=-23, and the common difference r=-2 1/4. Let's solve the equation for n:

We need to express r as an improper or proper fraction:

Substituting:



n=17
There are 17 terms in the sequence