Answer:
Jake's error in step 3
Step-by-step explanation:
we have
Complete the square
step 1
Group terms that contain the same variable, and move the constant to the opposite side of the equation
step 2
Complete the square. Remember to balance the equation by adding the same constants to each side
step 3
Rewrite as perfect squares
Jake's error in step 3
He placed 6 instead of 3 in the left side
step 4
take square root both sides
step 5
step 6
step 7
x=5 and x=1
Answer:
A prime number is a number that can only be divided by 1 and itself.
Answer:
I can't see the picture or handwriting
I believe this question logically tells us to find the value of w. The two equations are already equated. Since there is 1 unknown and 1 equation, the system is solvable. The solution is as follows:
5/(6w+21) = -1/3(2w - 9)
5/(6w+21) = -1/(6w - 27)
Cross multiplying the terms:
5(6w - 27) = -1(6w +21)
30w - 135 = -6w - 21
30w + 6w = -21 + 135 = 114
36w = 114
w = 114/36
w = 19/6 or 3.167
Because if the number was rational then we can tell by looking at the numbers. The rational number should be one number or a repeating decimal or terminating number. plus because if a number was like this 5.7696... that means its irrational because we dont know the end of the number. The rational numbers are terminating numbers or either decimal or repeating numbers because we know the end of those numbers.
