Sphere Surface Area = PI * diameter²
Sphere Surface Area = 3.14 * 12*12
Sphere Surface Area =
<span>
<span>
<span>
452.16
</span>
</span>
</span>
square centimeters
<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>
700 times 3 is 2,100, You get 700 from estimating 697
(x – h)^2 + (y – k)^2 = r^2
(h, k) is the center (-4, 0)
r=3
(× + 4)^2 + (y - 0)^2=9
Answer:
520
Step-by-step explanation:
Given that:
Profit function p(x) is :
P(x) = 8.50x- 1500
If the profit made = $2920 ; the number of pizza kits sold is :
Then p(x) = 2920
Putting p(x) = 2920 in the equation :
2920 = 8.50x - 1500
2920 + 1500 = 8.50x
4420 = 8.50x
Divide both sides by 8.50
4420 / 8.50 = 8.50x / 8.50
520 = x
Hence, number of pizza kits sold is 520