It costs $3.92 to send all 14 postcards. Or is this a trick question.
Answer:
Step-by-step explanation:
to solve the volume you must multiply the sides together
you would multiply the length by the width by the height
so you would multiply 7 and 15 and 10
Answer:
u= -8/17 [-8, ∞)
Step-by-step explanation:
solve it like regular equation
17u≥-8
divide 17 on both side
then you get u≥-8/17
so, (u) is any value greater than or equal to -8/17
less than equal means solid dot on number line i think its called also mean ([) meaning it includes this value too. It is a multiplication so it can be any number above -8 or -8 itself. Thus, the interval notation will be [-8, ∞). Infinite is not a fix number so we use this (). hope this helps good luck
9514 1404 393
Answer:
split the number into equal pieces
Step-by-step explanation:
Assuming "splitting any number" means identifying parts that have the number as their sum, the maximum product of the parts will be found where the parts all have equal values.
We have to assume that the number being split is positive and all of the parts are positive.
<h3>2 parts</h3>
If we divide number n into parts x and (n -x), their product is the quadratic function x(n -x). The graph of this function opens downward and has zeros at x=0 and x=n. The vertex (maximum product) is halfway between the zeros, at x = (0 + n)/2 = n/2.
<h3>3 parts</h3>
Similarly, we can look at how to divide a (positive) number into 3 parts that have the largest product. Let's assume that one part is x. Then the other two parts will have a maximum product when they are equal. Their values will be (n-x)/2, and their product will be ((n -x)/2)^2. Then the product of the three numbers is ...
p = x(x^2 -2nx +n^2)/4 = (x^3 -2nx^2 +xn^2)/4
This will be maximized where its derivative is zero:
p' = (1/4)(3x^2 -4nx +n^2) = 0
(3x -n)(x -n) = 0 . . . . . . . . . . . . . factor
x = n/3 or n
We know that x=n will give a minimum product (0), so the maximum product is obtained when x = n/3.
<h3>more parts</h3>
A similar development can prove by induction that the parts must all be equal.
