Answer:
c = - d
Step-by-step explanation:
Multiply both sides by 2 to eliminate the fraction
2A = b(c + d) ← divide both sides by b
= c + d ← subtract d from both sides
- d = c
A baker can bake 5 cakes in an hour. How many cakes can she bake in c minutes?
1 answer:
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ANSWER
EXPLANATION
We want to approximate, using the ALEKS calculator, the value of:
To do this, we input the radical and the number into the calculator. The result is:
Since we have to round the answer to the nearest hundredth, we will pick the number in the thousandths place value, which is 3.
This number is less than 5, so, we round it down to 0 and add it to the number in the hundredth place value, which is 8.
Hence, the answer is:
Answer:
(1) 256 inches
(2) 5 feet
(3) 400 inches
(4) 10 feet
Step-by-step explanation:
(1) The function that gives the height in inches of the spray of water at a distance <em>x</em> from the sprinkler head is given as follows;
h(x) = 160·x - 16·x²
At x = 2 feet, we have;
h(2) = 160 × 2 - 16 × 2² = 256
Therefore, the height of the spray water at a horizontal distance of 2 feet from the sprinkler head h(2) = 256 inches
(2) The x-coordinate, , of the maximum point of a parabola given in the form, y = a·x² + b·x + c is found using the following formula;
= -b/(2·a)
The x-coordinate, , of the maximum point of the given equation of the parabola, h(x) = 160·x - 16·x², (a = -16, b = 160) is therefore;
= -160/(2 × (-16)) = 5
Therefore, the number of feet along the way, the function will reach maximum height, = 5 feet
(3) The function, h(x) = 160·x - 16·x², will reach maximum height, , at x = 5, therefore;
= h(5) = 160 × 5 - 16 × 5² = 400
The maximum height of the spray, = 400 inches
(4) The water is at ground level where h(x) = 0, therefore;
At ground level, h(x) = 0 = 160·x - 16·x²
160·x - 16·x² = 0
∴ 16·x × (10 - x) = 0
By zero product rule, we 16·x = 0, or (10 - x) = 0, from which we have;
x = 0, or x = 10
The water is at ground level at x = 0 and x = 10 feet, therefore, the water will hit the ground again (the second time after leaving the sprinkler head at x = 0) at x = 10 feet.
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