Answer:
x ≈ {-11.789, +0.501, 11.288}
Step-by-step explanation:
The cubic g(x) - f(x) = 0 has three real solutions. It can be rewritten as ...
![g(x)-f(x)=0\\\\0.03x^3-x+1-(3x-1)=0\\\\0.03x^3-4x+2=0](https://tex.z-dn.net/?f=g%28x%29-f%28x%29%3D0%5C%5C%5C%5C0.03x%5E3-x%2B1-%283x-1%29%3D0%5C%5C%5C%5C0.03x%5E3-4x%2B2%3D0)
Since the solutions are irrational, they are best found using a spreadsheet or graphing calculator. My favorite graphing calculator shows the approximate solutions below.
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<em>Comment on the problem statement</em>
Your expression for f(x) is ambiguous in that many Brainly questions have the exponentiation indicator replaced by a blank: 3 x -1 often means 3^x -1 and sometimes means 3^(x-1). We have taken the expression at face value and have assumed it is a linear expression. If otherwise, the problem is basically worked the same way: write a function h(x) = g(x) - f(x) and look for solutions to h(x) = 0. Graphing can be useful.
Answer:
14
Step-by-step explanation:
Answer:11,000 paid $14 and 25000 paid $6
Step-by-step explanation:
<h3>First expression:</h3>
Factor 44 out of 44r+352.
44(r+8)
<h3>
Second expression:</h3>
Factor −16 out of 448−16b+112c.
−16(b−7c−28)
plz mark me as brainliest :)
Answer:
P(1833 < X < 1975) = 7.55%
Step-by-step explanation:
From the given information:
Let X be the random variable that obeys a normal distribution and which represents the monthly electric consumption during winter by all households in the Boston area.
X
N ( μ = 1650 , σ² = 320² )
The probability that a monthly consumption of 1883 to 1975 kilowatt is given as:
![P(1883 < X< 1975) = P( \dfrac{1883 -1650}{320} < Z< \dfrac{1975-1650}{320})](https://tex.z-dn.net/?f=P%281883%20%3C%20X%3C%20%201975%29%20%3D%20P%28%20%5Cdfrac%7B1883%20-1650%7D%7B320%7D%20%3C%20Z%3C%20%5Cdfrac%7B1975-1650%7D%7B320%7D%29)
![P(1883](https://tex.z-dn.net/?f=P%281883%20%3CX%3C%201975%29%20%3D%20P%28%20%5Cdfrac%7B233%7D%7B320%7D%20%3C%20Z%3C%20%5Cdfrac%7B325%7D%7B320%7D%29)
![P(1883 < X](https://tex.z-dn.net/?f=P%281883%20%3C%20X%3C1975%29%20%3D%20P%28%200.728%20%3C%20Z%3C%201.0156%29)
P(1833 < X < 1975) = P(Z< 1.0156) - P(Z< 0.738)
P(1833 < X < 1975) = 0.8452 - 0.7697
P(1833 < X < 1975) = 0.0755
P(1833 < X < 1975) = 7.55%