Least = 16 - 0.025 * 16 = 15.6 ounces
Greatest = 16 + 0.025*16 = 16.4 ounces
Answer:
b = 5/12
Step-by-step explanation:
You have the proportion
1/(3b) = 4/5
Cross multiply to get rid of the fractions...
5 = 12b now solve for b
5/12 = b (divide by 12 on both sides)
Answer:
You can proceed as follows:
Step-by-step explanation:
First solve the quadratic inequality
. To do that, factorize, then we have that
. This implies that

or

In the first case the solution is the empty set
. In the second case the solution is the interval
. Now we have that
![A=[1,4]](https://tex.z-dn.net/?f=A%3D%5B1%2C4%5D)

.
To show that
consider
. Then
, this implies that
, then
. Now, to show that
consider
, then
, then
, then
, this implies that
.
Observe the image below.
So basically function of m (f(m) or in this case C(m)) means the price
so just input the value you put for m for all the other m's in the problem
ex. if you had f(x)=3x and you wanted to find f(4) then you replace and do f(3)=3(4)=12 so f(3)=12 and so on
A. cost of 75 sewing machines
75 is the number you replace m with
C(75)=20(75)^2-830(75)+15,000
simplify
20(5625)-62250+15000
112500-47250
65250
the cost for 75 sewing machines is $65,250
B. we notice that in the equation, that the only negative is -830m
so we want anumber that will be big enough to make -830m destroy as much of the other posities a possible
-830m+20m^2+15000
try to get a number that when multiplied by 830, is almost the same amount as or slightly smaller than 20m2+15000 so we do this
830m<u><</u>20m^2+15000
subtract 830m from both sides
0<u><</u>20m^2-830m+15000
factor using the quadratic equation which is
(-b+ the square root of (b^2-4ac))/(2a) or (-b- the square root of (b^2-4ac))/(2a)
in 0=ax^2+bx+c so subsitute 20 for a and -830 for b and 15000 for c
you will get a non-real result I give up on this meathod since it gives some non real numbers so just guess
after guessing and subsituting, I found that the optimal number was 21 sewing machines at a cost of 6420