Answer:
A. 2/9
if you divide 18 in half and devide 2 in half you get 2/9 18 shirts and only one is black leaving you with a 2/9 chance
Answer: 6.9% increase
Step-by-step explanation: original: 72
new: 77 5 x = 500 = 6.9%
72 100 72
Answer:
I think the working is actually unnecessary because of (x-c)=0 and if x is 5 (5-c)=0 c would be 5
To put a fraction into simplest form, you need to divide both the numerator and the denominator by the GCF of both of these numbers.
35 and 42 have a GCF of 7.
So, if we divide
35/7=5
42/7=6
Therefore, 35/42 in simplest form is 5/6
<span>a) Intervals of increase is where the derivative is positive
b) </span> <span>Intervals of decrease is where the derivative is negative. </span>
c) <span>Inflection points of the function are where the graph changes concavity that is the point where the second derivative is zero </span>
<span>d)
Concave up- Second derivative positive </span>
<span>Concave down- second derivative negative </span>
f(x) = 4x^4 − 32x^3 + 89x^2 − 95x + 31
<span>f '(x) = 16x^3 - 96x^2 + 178x - 95 </span>
<span>f "(x) = 48x^2 - 192x + 178 </span>
<span>By rational root theorem the f '(x) has one rational root and factors to: </span>
<span>f '(x) = (2x - 5)*(8x^2 - 28x + 19) </span>
<span>Using the quadratic formula to find it's two irrational real roots. </span>
<span>The f "(x) = 48x^2 - 192x + 178 only has irrational real roots, use quadratic formula which will be the inflection points as well.</span>