Answer:
Y=109 X=31
Step-by-step explanation:
Alright, so the angles that you have to find the values for make up 180 degrees. Since you have 71 degrees on the bottom, and according to a certain theorem I forgot about, that means that the angles you're solving for equal 109 degrees.
X= 31 because 4 x 31 = 124 and then 124 - 15 equals 109
The first term of GP, a=4
Common ratio=
=
=-5
r=-5
nth term of GP, an=a
a8=4*
a8=4*
a8=4*-78125
a8=-312500
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
1) 5250*23=120750
2) 1022*21=21462
3) 9743*79=769697
4) 4483*32=143456
5) 8493*30=254790
6) 8108*34=275672
7) 6034*69=416346
8) 3033*48=145584
U first convert it into improper fraction :
2 7/10
=20+7/10
=27/10
=2.7 ...
Hope it helps !!!
