If Mr. Phillips bought 1 3/4 pounds of raspberries, who bought more fruit, Ms. Winn or Mr. Phillips?
1 answer:
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Given parameters:
Area of the rectangular garden = 359ft²
Unknown:
length and width of the garden = ?
To find the length and breadth of the garden, we need to define and know that the area of a rectangle is.
Area of a rectangle = Length x Breadth
From the problem statement;
Let w = width of the rectangular garden
L = length of the garden;
Now,
length of a rectangular garden is 5 feet less than 4 times its width
L = 4w - 5
Now let us substitute this into the equation;
Area = L x w
359 = (4w - 5)w
4w² - 5w - 359
Using:
w = -b ± √b² - 4ac / 2a
where b = -5 , a = 4 and c = -359
w = -(-5) ± √-5² - 4(4)(-359) / 2(4)
w = 5 ± √25 + 5744 / 8
w = 5 ± 75.9 / 8
w =
w = 10.1ft
The other solution is not possible it will be a negative value. Width value cannot be negative.
So L = 4w - 5 = 4(10.1) - 5 = 35.5ft
The length and breadth of the rectangular are 35.5ft and 10.1ft respectively.
Question:
Give all the x and y intercept of the function
Answer:
The x intercepts are x = 5 and x = -4
The y intercept is at y = -2
Step-by-step explanation:
Factorizing the numerator of the expression we find the x intercepts as follows;
Therefore, the x intercept are
x = 5 and x = -4
To find the y intercept, we put x = 0 to get y = -2
Therefore, the y intercept is at y = -2
Factorizing the denominator we find the values for which the equation is undefined
2·x³ + 2·x² - 34·x + 30 = 2·(x-1)·(x-3)·(x+5) which gives
x = 1, 3 and -5.