3x^2 + 5x + 2
a = 3 , b = 5 , c = 2
Start by mulitplying a*c = 3 * 2 = 6
Now find two number that multiply to 6 and add up to b or 5
We could use 2 and 3 because ....
3 + 2 = 5
3 * 2 = 6
Now you rewrite....
3x^2 + 3x + 2x + 2
Now pull out common factors...
3x ( x + 1 ) + 2 ( x + 1)
The factors of this expression is ( 3x + 2 ) ( x + 1)
Answer:
crust folding and faulting
Step-by-step explanation:
Answer:
no enough evidence to draw up a conclusion
Step-by-step explanation:
Data:
let: 
= decay after 2 weeks
= decay after 16 weeks
Making the hypotheses:
Null hypothesis; 
the deviation = 0.05
the standard difference = 4
Conditions:
The normal distribution curve can be plotted on a graph and the plot shows that the distribution is a skewed distribution.
Then,
Therefore, it can be concluded that 0.1983 > 0.05. This presents our failure to reject the null hypothesis.
Thus, there is not enough evidence to conclude that polyester decays more in less than 2 weeks.
Answer:
6 ounces
Step-by-step explanation:
Let x = the number of ounces of the 15% alcohol solution needed to be mixed with the 4 ounces of 20% alcohol solution to obtain the 17% alcohol solution.
After converting the percentages to their decimal equivalents, set up the necessary equation as follows:
0.15x+0.20(4) = (x+4)(0.17) Simplify and solve for x.
0.15x+0.8 = 0.17x+0.68 Subtract 0.15x from both sides.
0.8 = 0.02x+0.68 Now subtract 0.68 from both sides.
0.12 = 0.02x Finally, divide both sides by 0.02
x = 6
You need to mix 6 ounces of 15% alcohol solution with 4 ounces of 20% alcohol solution to obtain 10 (x+4)ounces of 17% alcohol solution.
Answer:
a) x = {-2, 1, 3} are the zeros
b) y = (x +2)(x -1)(x -3)
c) y = x^3 -2x^2 -5x +6
Step-by-step explanation:
a) The zeros are the values of x where the graph crosses y=0. Those values are x = -2, x = 1, x = 3.
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b) If "a" is a zero, then (x-a) is a factor. The factored polynomial is ...
y = (x +2)(x -1)(x -3)
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c) This can be multiplied out using the distributive property several times.
y = (x +2)(x(x -3) -1(x -3))
= (x +2)(x^2 -3x -x +3)
= (x +2)(x^2 -4x +3)
= x(x^2 -4x +3) +2(x^2 -4x +3)
= x^3 -4x^2 +3x +2x^2 -8x +6
y = x^3 -2x^2 -5x +6
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The supplied graph apparently scales this vertically by a factor of 1/2, since its y-intercept is at (0, 3), not (0, 6).
