Answer: Choice E
multiply to give a*c and add to get b
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This is known as the AC factoring method based on how you multiply the first and last coefficients (a and c) and use that product to figure out which factors add to the middle coefficient.
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An example:
6x^2 + 35x + 50
We have a = 6, b = 35, c = 50
Multiply a and c and we get: a*c = 6*50 = 300
We need to find factors of 300 that pair up and add to 35
Through trial and error you should find,
15 * 20 = 300
15 + 20 = 35
The two numbers are therefore 15 and 20.
So we break 35x into 15x+20x and use the factor by grouping method
6x^2 + 35x + 50
6x^2 + 15x + 20x + 50
(6x^2 + 15x) + (20x + 50)
3x(2x + 5) + 10(2x + 5)
(3x + 10)(2x + 5)
We see that 6x^2 + 35x + 50 factors to (3x + 10)(2x + 5)
Use the FOIL method or the box method or distribution to help see that (3x + 10)(2x + 5) expands back to 6x^2 + 35x + 50.
Answer:
x = 21°
y = 29°
Step-by-step explanation:
a) Solving for x
Note that:
(3x - 3)° and 60° are Alternate interior angles, and alternate interior angles are equal to each other, hence:
3x - 3 = 60° (Alternate interior angles)
Add 3 to both sides
3x - 3 +3 = 60 + 3
3x = 63°
x = 63°/3
x = 21°
b) Solving for y
Notes that:
(3x - 3)° and (4y + 4)° are Consecutive interior angles and the sum consecutive interior angles is 180°
3x - 3 + 4y + 4 = 180°
3x + 4y - 3 + 4 = 180°
3x + 4y + 1 = 180°
Note that x = 21
Hence
3(21) + 4y + 1 = 180°
63 + 1 + 4y = 180°
64 + 4y = 180°
Subtract 64 from both sides
64 - 64 + 4y = 180° - 64
4y = 116°
y = 116/4
y => 29°
D 21 a dozen is twelve so 2 dozens to a cup would be 21
Answer:
B.No. The input is not possible.
Step-by-step explanation:
According to the given scenario, as we know that f(x) indicates that the baskets number and x the number of players at the practice.
Therefore, if we are having the point (12, 36) we can conclude that during practice there were 36 baskets and 12 players.
Hence, it does not make any sense which results that input is not possible
