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Fantom [35]
2 years ago
5

Simplify (15x2 – 24x + 9) ÷ (3x – 3) = ?

Mathematics
2 answers:
Alina [70]2 years ago
8 0
Factor 15x^2-24x+9
we know that we are supposed to divide by (3x-3) so that might be one of the factors
(3x-3)(ax+y)
a must be 5 since 5 times 3=15
(3x-3)(5x+y)
y must be -3 because -3 times -3=9 so
(3x-3)(5x-3)
try to multiply and get
15x^2-15x-9x+9=15x^2-24x+9
true

now we have
[(3x-3)(5x-3)]/(3x-3)=(3x-3)/(3x-3) times (5x-3)/1=1 times 5x-3
answer is 5x-3







larisa86 [58]2 years ago
3 0
\frac{15x^{2} - 24x + 9}{3x - 3} = \frac{3(5x^{2}) - 3(8x) + 3(3)}{3(x) - 3(1)} = \frac{3(5x^{2} - 8x + 3)}{3(x - 1)} = \frac{5x^{2} - 5x - 3x + 3}{x - 1} = \frac{5x(x) - 5x(1) - 3(x) - 3(-3)}{x - 1} = \frac{5x(x - 1) - 3(x - 1)}{x - 1} = \frac{(5x - 3)(x - 1)}{x - 1} = 5x - 3
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Answer:

<em>Average rate of change is </em><em>-78.</em>

Step-by-step explanation:

A talent competition on television had five elimination rounds. After each elimination, only one-third of the contestants were sent to the next round.

The table that shows the number of contestants in each round of the competition is,

x     f(x)

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2     81

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Average rate of change is the change in the y-value divided by the change in the x-value for two points on the graph.

i.e \dfrac{f(x_2)-f(x_1)}{x_2-x_1}

So, the average rate of change of f(x) from x = 1 to x = 4 is,

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Since f(x) is decreasing, so rate of change is negative.

8 0
3 years ago
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what do we need to know:

the radius of the semi circles;

the area of:

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what we know:

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the length of a single diameter, 14;

what we can assume:

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Answer:

True.

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4cos2 (4x) - 3 = 0

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