Answer:
(3 (pm) sqrt(7))/2
Step-by-step explanation:
First step: Identify a,b, and c
a=2
b=-6
c=1
Second step: Find b^2-4ac (this is called the discriminant-I will call this D)
(-6)^2-4(2)(1)=36-8=28
Third step: Find the square root of the discriminant aka sqrt(D)
sqrt(28)
Let's see if we can simplify sqrt(28)
Here is there a factor of 28 that is a perfect square? How about 4? Yep!
sqrt(28)=sqrt(4)sqrt(7)=2sqrt(7).
Fourth Step: What is -b? If b=-6 then -b=6.
Fifth step: What is 2a? 2(2)=4
So the formula is
x=(-b (pm) sqrt(D))/(2a)
or
x=(step4 (pm) step 3)/(step 5)
x=(6 (pm) 2sqrt(7))/4
Simplify
x=(3 (pm) sqrt(7))/2
*pm means plus or minus
*sqrt( ) means square root of the number that follows in the ( )
Hey there!
In order to compare these fractions, we can give them a common denominator.
Our least common multiple of 3 and 8 is 24. We multiply 2/3 by 8/8 and 5/8 by 3/3 to get
16/24 and 15/24
Therefore, 2/3 is bigger.
Hope this helps!
Answer:
Option E
Step-by-step explanation:
Putting x = 3
2³ • 3⁴ - 6 ÷ 2
8 • 81 - 3
648 - 3
645
Therefore
Option E is correct
Next time, please include the directions for the problem you post. Here it appears that you have given the values of I, P and t two times each.
Unfortunately, I have to guess what you're looking for.
Assuming that I=$26.25 is the interest earned on Principal P=$500, and that t is the length of time over which the Principal earns interest,
I=Prt. With I, P and t given, it's obvious that our job is to find the annual interest rate, r. So, from I=Prt, we get
$26.25 = $500 (r) (1.5 years) Solve this for the interest rate, r.
Express r both as a decimal fraction and as the equivalent percentage.