Answer:
16
Step-by-step explanation:
To solve a quadratic equation by using the completing the square method, the coefficient of the square term i.e x² must be one (1).
Therefore, we would have to first make the coefficient of x² to be equal to 1.
4x² + 24x + 8 = 32
We would simplify the equation;
4x² + 24x = 32 - 8
4x² + 24x = 24
Divide all through by 4;
x² + 8x = 24
The value to be added = (8/2)² = 4² = 16
x² + 8x + 16 = 8 + 16
x² + 4x + 4x + 16 = 24
x(x + 4) + 4(x + 4) = 24
(x + 4)² = 24
Taking the square root of both sides;
x + 4 = ± 4.9
x = -4 ± 4.9
x = -4 + 4.9 = 0.9
or
x = -4 - 4.9 = - 8.9
<em>Therefore, 16 must be added to solve the quadratic equation by completing the square method. </em>
Answer: Lucy pays $ 492.58 back altogether.
Step-by-step explanation:
Formula : Interest = Principal x Rate x Time
Given: Principal = $425 , rate = 5.3% = 0.053 , time = 3 years
Interest = 425 x 0.053 x 3 ≈ $ 67.58
Total amount need to pay back = Principal + Interest
= $ (425+67.58)
= $ 492.58
Hence, Lucy pays $ 492.58 back altogether.
Answer:
96 square inches
Step-by-step explanation:
The scale is 2 inches : 3 feet
Thus for 18 feet in Serika's real house, the model is 18 * (2"/3') = 12 inches
For 12 feet in Serika's real house, the model is 12 * (2"/3') = 8 inches
Area of carpeting needed in Serika's dollhouse = 12" * 8" = 96 square inches
1) answer = 360
explanation =
-> 10% of 300 = 300*10
-> 10% of 300 = 30
-> 20% = 10% x 2
-> 20% = 30 x 2
-> 20% = 60
-> 300 yards ( distance they ran ) + 60 yards ( how much more distance Quadra ran ) = 360 yards
2) answer = Newton spends 10 minutes or 1/6 hours reading
explanation =
-> 25% = 1/4
-> 40*4= 10
-> 1 hrs = 60 min
-> 10 min x 6 = 60 min
-> 1/6 hrs = 10 min
3) answer = 30 fish
explanation =
-> 40% = 12
-> 10% = 3
-> 40*4=10 and 12*4=3
-> 10% + 40% = 50% so 12 + 3 = 15
-> 50% = 15 and 100% = 15 x 2
-> 100% = 30
4) answer = 30
explanation =
-> 1/4 is equal to 25 %
-> add up all the prrcentages ( 25% + 10% + 15% = 50% )
-> she have 50% of tej chocolates Which were in the tin she bought away and kept 15 chocolates to herself
-> 50% = 1/2
-> 50% x 2 = 100%
-> 15 x 2 = 30
These are all negative SO the number that is the greatest would be -.480.
