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Serhud [2]
2 years ago
11

Find the value of k such that the quadratic polynomials x2-(k+6)x+2(2k+1) as sum of the zeroes as the half of their product

Mathematics
1 answer:
Gwar [14]2 years ago
6 0

Answer:

  k = 5

Step-by-step explanation:

The sum of the zeros is the opposite of the coefficient of x, so is (k+6).

The product of zeros is the constant term, 2(2k+1), so half their product is (2k+1).

The problem statement asks us to find k so that these values are the same:

  k +6 = 2k +1

  5 = k . . . . . . . . subtract k+1

The value of k is 5.

_____

The zeros are 5.5±√8.25. Their sum is 11; their product is 22.

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BabaBlast [244]

Answer:

5x=55

Divide both sides by 5 to solve for x

5x/5=55/5

x=11

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canoe rental at howie's canoes costs $5 per hour plus an initial deposit of $15. write an expression for how much it costs to re
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This solution only needs proper understanding of the word problem and identification of variables.
Let x = number of hours rental of the canoe

It costs $5 per hour for a canoe. However, for every rental of one canoe, there is a deposit of $15 regardless.
The expression is then 5x + 15.

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7 0
3 years ago
Determine an appropriate domain of the function. Identify the independent and dependent variables. A stone is thrown vertically
Artemon [7]

Answer:

the domain of the function = [0,12]

Step-by-step explanation:

Given that:

f(t) = 60 t - 5t²

at time t = 0

f(0) = 60 (0) - 5(0)²

f(0) = 0

the differential of f(t) is:

f(t)' = 60 - 10t

for the maximum height

f'(t)  = 0

i,e

60 - 10t = 0

60 = 10t

t = 60/10

t = 6

Now, t = 6,

f(6) = 60(6) - 5(6)²

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f(6) = 180

Hence, after 6 seconds, the stone is noticed to have raise to 180 m and 180 m drop after 6 seconds.

Hence, the domain of the function = [0,12]

6 0
3 years ago
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