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Wewaii [24]
4 years ago
13

Select the approximate values of x that are solutions to f(x) = 0, wheref(x) = -9x^2 + 7x + 2

Mathematics
1 answer:
Natasha2012 [34]4 years ago
4 0
F(x) = -9x^2 + 7x + 2
Factorising we get:

f(x) = (x + 1) (-9x + 2)

The solutions are x = -1 and 2/9ths
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6. The following graph can be described using an equation of the form y = A cos(x)+C. Determine the
liraira [26]

Answer:

A = 7 and C = 2

Step-by-step explanation:

the constant C represents the average value of the wave. To find its value, we need to calculate the average between the y-coordinates of the highest and the lowest point.

The highest point has y = 9, and the lowest point has y = -5, so we have:

C = (9 - 5)/2 = 4/2 = 2

The value of A represents the increase in the amplitude of the wave.

For A = 1, the amplitude is 2 (lowest point = average - 1, highest point = average + 1)

So, in this case, the amplitude is the difference in the y-coordinates of the highest and the lowest point, and A is equal half the amplitude:

A = (9 - (-5)) / 2 = (9 + 5)/2 = 14/2 = 7

3 0
3 years ago
Help please explain in detail
yaroslaw [1]

Answer:

1. (n + 3)(5n + 8)

2. (x - 4)(7x - 4)

3. (k + 8)(7k + 1)

Step-by-step explanation:

1. We have to factorize 5n² + 23n + 24.

Now, 5n² + 23n + 24

= 5n² + 15n + 8n + 24

= 5n (n + 3) + 8 (n + 3)

=(n + 3)(5n + 8) (Answer)

2. We have to factorize 7x² - 32x + 16

Now,  7x² - 32x + 16

= 7x² - 28x - 4x + 16

= 7x (x - 4) - 4 (x - 4)

= (x - 4)(7x - 4) (Answer)

3. We have to factorize 7k² + 57k + 8

Now, 7k² + 57k + 8

= 7k² + 56k + k + 8

= 7k (k + 8) + 1 (k + 8)

= (k + 8)(7k + 1) (Answer)

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4 years ago
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Answer: (2x-1) (2x-3)

Step-by-step explanation:

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3 years ago
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nasty-shy [4]

Answer:

Step-by-step explanation:

5×4000

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