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ki77a [65]
3 years ago
8

Is -0.142857142857142857 rational or irrational

Mathematics
1 answer:
sesenic [268]3 years ago
7 0

Answer: Irrational because cannot be turned into fractions

Step-by-step explanation:

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Show that 2x +1 is a factor of 2x3 +5x2+4x+1 and factories completely
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\text{According to the factor theorem, if f(b) = 0, then x-b is a factor of f(x).}\\\\\text{Given that,}\\\\f(x) = 2x^3 +5x^2 +4x +1 \\\\f\left(-\dfrac 12 \right) = 2\left( - \dfrac 12 \right)^3 +5 \left( - \dfrac 12 \right)^2 +4 \left( - \dfrac 12 \right) +1 \\\\\\~~~~~~~~~~~~=-2 \cdot \dfrac 18 + 5 \cdot \dfrac 14 -2 +1 \\\\\\~~~~~~~~~~~=\dfrac 54 -\dfrac14 -1\\\\\\~~~~~~~~~~~=\dfrac 44 -1 \\\\\\~~~~~~~~~~~=1-1\\\\\\~~~~~~~~~~~=0\\\\\text{So,}~ 2x +1 ~ \text{is a factor of f(x).}

\text{Now,}\\\\f(x) = 2x^3 +5x^2 +4x +1 \\\\~~~~~~=2x^3+x^2 +2x^2 +2x +2x+1\\\\~~~~~~=x^2(2x+1)  +2x(2x+1) +  (2x+1)\\\\~~~~~~=(2x+1)(x^2 +2x +1)\\\\~~~~~~=(2x+1)(x+1)^2

3 0
2 years ago
Classify the solid figure.
kap26 [50]
That looks like a rectangular prism
8 0
3 years ago
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A boutique prices merchandise by adding 80% to its cost. It later decreases by 25% the price of items that do not sell quickly
Darya [45]
A. Write a function f(x) to represent the price after the 80% markup. 
<span>b. Write a function g(x) to represent the price after the 25% markdown. </span>
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MArishka [77]

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1 option is correct

Step-by-step explanation:

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3 years ago
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How to graph this equation
VLD [36.1K]
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