Answer:
<em> 3 + 3x = 45 ; x = 14 </em>
Step-by-step explanation:
45 = 3x + 3 ⇒ <em>x = 14</em>
Answer:
Step-by-step explanation:
x² + 4x - 1 - x =x² + 4x -x - 1 { bring the like terms together and add}
= x² + 3x - 1
Answer:
b) 24
Step-by-step explanation:
We solve building the Venn's diagram of these sets.
We have that n(S) is the number of succesful students in a classroom.
n(F) is the number of freshmen student in that classroom.
We have that:

In which n(s) are those who are succeful but not freshmen and
are those who are succesful and freshmen.
By the same logic, we also have that:

The union is:

In which



So



So the correct answer is:
b) 24
Answer:
Step-by-step explanation:
Factorize using square root method.
x² - 2x + 2 = (x-a)² + b
x² -2x + 1 + 1 = (x-a)²+b
(x² - 2*x*1 + 1²) + 1 = (x -a)²+ b {Compare with a²- 2ab+b² which is (a - b)²}
(x - 1)² + 1 = (x - a)² + b
a = 1 and b = 1
Use pythagoras theorem to find height. you get, h=4. so volume ,

u get,v=