Answer:
<h3>
</h3>
Step-by-step explanation:
1. 
Collect like terms
⇒
Divide both sides of the equation by 6
⇒
Calculate
⇒
2. 
Collect like terms
⇒
Divide both sides of the equation by -9
⇒
Calculate
⇒
Hope I helped!
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3 different ways since there are 3 switches
-144= -1×2a×3b
144=2a×3b
144= 6ab
24= ab
a,b could b any two factors that have a product of 24
For example a,b could = 6,4 or 8,3 or 24,1
Answer:
This question is tricky because it could have multiple answers: for example is a,b= 6,4 then a+b= 10, but if a,b=24+1=25. So, the answer is that the sum of a+b varies depending on which 2 factors of 24 a and b are equal to. Does this make sense?
The roots of the polynomial <span><span>x^3 </span>− 2<span>x^2 </span>− 4x + 2</span> are:
<span><span>x1 </span>= 0.42801</span>
<span><span>x2 </span>= −1.51414</span>
<span><span>x3 </span>= 3.08613</span>
x1 and x2 are in the desired interval [-2, 2]
f'(x) = 3x^2 - 4x - 4
so we have:
3x^2 - 4x - 4 = 0
<span>x = ( 4 +- </span><span>√(16 + 48) </span>)/6
x_1 = -4/6 = -0.66
x_ 2 = 2
According to Rolle's theorem, we have one point in between:
x1 = 0.42801 and x2 = −1.51414
where f'(x) = 0, and that is <span>x_1 = -0.66</span>
so we see that Rolle's theorem holds in our function.
Answer: rational
Step-by-step explanation:
Definitely rational because 576 and 684 are both natural numbers
