Set each expression from the parentheses equal to 0 separately like so:
Equation 1: x - 4 = 0
Equation 2: -5x + 1 = 0
Now for each equation solve for x!
Equation 1:
x +(- 4 + 4) = 0 + 4
x = 4
Equation 2:
-5x +( 1-1) = 0 - 1
-5x/ -5 = -1 / -5
x = 1/5
Check:
(4 - 4)(-5*4 + 1)
(0) (-20 + 1)
(0) (-19)
0 = 0 -------------------------> correct!
(1/5 - 4)(-5 * 1/5 + 1)
(-19/5)(-1 + 1)
(-19/5)(0)
0 = 0 -------------------------> correct!
smaller x = 1/5
larger x = 4
Hope this helped!
Answer:
approx. 905 in³
Step-by-step explanation:
The height is half its radius, and therefore the height is (1/2)(12 in), where 12 in represents half the diameter (24 in).
The formula for the volume of a cylinder of radius r and height h is
V = (1/3)(πr²)(h). Using the values r = 12 in, h = (1/2)(12 in), we get:
V= (1/3)π(12 in)²(6 in), or
V = (1/3)(144 in²)(6 in), or
V = 288π in³, or approx. 905 in³
Answer: Given f ( x ) = 2x + 1 and g ( x ) = x2
+ 2x – 1 find ( f + g ) ( x ) and
( f + g ) ( 2 )
Solution
Step 1. Find ( f + g ) ( x )
Since ( f + g ) ( x ) = f ( x ) + g ( x ) then;
( f + g ) ( x ) = ( 2x + 1 ) + (x2
+ 2x – 1 )
= 2x + 1 + x2
+ 2x – 1
= x
2
+ 4x
Step-by-step explanation:
Well, the first place behind the decimal place is tenths, and the second is hundredths, and the third is thousandths, so it would be three thousandths and one tenth
1. It's a rational number as it's written in fraction form.
2. It's a repeating because if you divide 62/495 you get 12.5252...(52 repeating)
