Answer:
Step-by-step explanation:
<h3>Part A</h3>
<u>Solve the equation:</u>
- 6x² + 48x + 120 = 0
- x² + 8x + 20 = 0
- x² + 8x + 16 + 4 = 0
- (x + 4)² + 4 = 0
- (x + 4)² = - 4
The left side is positive and right side is negative so no solution
<h3>Part B</h3>
There is no intercession with the x-axis, the graph of the function is entirely above the x-axis.
It means the diver won't reach the bottom of the lake
Answer:
565.49 or if rounded to the nearest tenth, 565.5
Explanation:
The formula for finding the volume of a cone is V=1/3Bh
B = pi times the radius squared
h = height
Substitute 6 for r and 15 for h.
V= 1/3·
·(
)·15
Multiply.
V= 565.49 or 565.5 rounded to the nearest tenth.
So, first, you have to find the smallest number that is divisible by both 12 and 10. Which is 60. So, you need 5 boxes of trophies and 6 boxes of stands
Now to get how much it will cost you now multiply the respective costs by the amount of boxes so you get
5 x 10 = 50
6 x 6 = 36
Then you add both
50 + 36 = 86
He will spend a total of $86 on both trophies and stands.
(y -3)^2 = 4y - 12
Expand.
(y-3)(y -3) = 4y - 12
y² - 6y + 9 = 4y - 12
y² - 6y -4y + 9 + 12 = 0
y² - 10y + 21 = 0
Factors are -7y and - 3y
y² - 10y + 21 = 0
y² - 3y - 7y + 21 = 0
y(y - 3) -7(y - 3) = 0
(y - 3)(y - 7) = 0
y-3 = 0 or y - 7 = 0
y = 0 + 3 or y = 0 + 7
y = 3 or 7
Answer:
Median: 6
Mean: 7
Range:10
Mode:4
Step-by-step explanation:
