Answer:
3 * 8^(x/2)
Step-by-step explanation:
The third answer choice is the correct one.
Here's how:
3squareroot of 8^x = 3√(8^x) = 3*(8^x)^(1/2) = 3 * 8^(x/2)
Answer:
1 + root 5, 1 - root 5
Step-by-step explanation:
I assume you mean 3x^2-6x-12=0.
First, note that you can divide both sides by 3. You get:
x^2-2x-4=0
Use the quadratic equation.

Therefore, x=1 + root 5, 1 - root 5
Answer:
The number of students who took English and History, but not Math is 143.
Step-by-step explanation:
Denote the subject choices as follows:
<em>M</em> = a students was taking Math
<em>E</em> = a students was taking English
<em>H</em> = a students was taking History
The data provided is as follows:
N (M) = 257
N (E) = 282
N (H) = 323
n (M ∩ E) = 154
n (M ∩ H) = 171
n (E ∩ H) = 143
n (M ∩ E ∩ H) = 80
Consider the Venn diagram below.
From the provided data and the Venn diagram the value of the set E and H minus M is 143.
Thus, the number of students who took English and History, but not Math is 143.
Luckily for us, this problem solved the bulk of its own question!
Now, all we have to do is solve for "x", or the amount of fiction books and plug its value back into the original equation to find the value of "y", or the amount of nonfiction books.
2x = 38
x = 19
There are 19 fiction books.
x + y = 26
19 + y = 26
y = 7
There are 7 nonfiction books.
Hope this helps!