Answer:
k = -2
Step-by-step explanation:
Given equation
1-kx = -3y
point on this line = (4,-3)
If point lies on the given line, then if we plug in the value (4,-3), then it will satisfy the equation
1-kx = -3y
using x = 4 and y = -3
1-k*4 = -3*-3
1 - 4k = 9
=> -4k = 9 -1 = 8
=> k = 8/-4 = -2
Thus, value of k is -2
The remainder when f(x) = 2x³ + 2x² - 3x - 3 is divided by x - 2 is 15.
We know that the remainder theorem states that if a polynomial p(x) is divided by a linear polynomial q(x) whose zero is x = a, then the remainder is given by r = p(a).
Here p(x) = f(x) = 2x³ + 2x² - 3x - 3 and q(x) = x - 2. First, we have to find the zero of q(x).
Now, q(x) = 0
i.e. x - 2 = 0
i.e. x = 2.
So, the zero of q(x) is 2, i.e. a = 2.
Then by the remainder theorem,
r = p(a) = f(2) = 2(2)³ + 2(2)² - 3(2) - 3 = 2 × 8 + 2 × 4 - 6 - 3 = 16 + 8 - 9 = 16 - 1 = 15
We can conclude that the remainder when f(x) = 2x³ + 2x² - 3x - 3 is divided by x - 2 is 15.
Know more about the remainder theorem here -
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4hours hope this help. 14+9=23+9=32+9=41+9=50
Answer: At midnight, the temperature was 43.7 degrees above 0, and in the morning, it was 3.6 degrees below 0
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