Answer:
use jiskha it has the full answer to that whole test
Step-by-step explanation:
Answer:
X = 3
Step-by-step explanation:
STEP 1: Isolate a square root on the left hand side
Original equation
√4x-3+√2x+3 = 6
Isolate
√4x-3 = -√2x+3+6
STEP 2: Eliminate the radical on the left hand side
Raise both sides to the second power
(√4x-3)2 = (-√2x+3+6)2
After squaring
4x-3 = 2x+3+36-12√2x+3
STEP 3: Get remaining radical by itself
Current equation
4x-3 = 2x+3+36-12√2x+3
Isolate radical on the left hand side
12√2x+3 = -4x+3+2x+3+36
Tidy up
12√2x+3 = -2x+42
STEP 4: Eliminate the radical on the left hand side
Raise both sides to the second power
(12√2x+3)2 = (-2x+42)2
After squaring
288x+432 = 4x2-168x+1764
STEP 5: Solve the quadratic equation
Rearranged equation
4x2 - 456x + 1332 = 0
This equation has two rational roots:
{x1, x2}={111, 3}
STEP 6: Check that the first solution is correct
Original equation, root isolated, after tidy up
√4x-3 = -√2x+3+6
Plug in 111 for x
√4•(111)-3 = -√2•(111)+3+6
Simplify
√441 = -9
Solution does not check
21 ≠ -9
STEP 7: Check that the second solution is correct
Original equation, root isolated, after tidy up
√4x-3 = -√2x+3+6
Plug in 3 for x
√4•(3)-3 = -√2•(3)+3+6
Simplify
√9 = 3
Solution checks !!
Solution is:
x = 3
Answer: c. 0.40396
Step-by-step explanation:
The total number of flaws is given by:
Average number of flaws for the 20 sheets :
Required probability :
Hence, c. is the correct option.
Answer:
The perimeter of the garden is 14 yard.
Step-by-step explanation:
Consider the figure:
Each unit on the grid represents yard.
From the figure we can find that:
The length of FA is 3.5 yard
The length of EF is 3.5 yard
The length of DX is 2 yard
The length of CD is 2 yard
The length of CB is 1.5 yard
The length of AB is 1.5 yard
To find the perimeter of the garden we need to add all the length as shown:
Perimeter = FA + EF + DX + CD + CB + AB
Perimeter = 3.5 + 3.5 + 2 + 2 + 1.5 +1.5
Perimeter = 14 yards
Hence, the perimeter of the garden is 14 yard.