Answer:
so what i would like to do is what is 12 divid by 3 and when u get ur answer that it what the y is
Answer:
x=8
Step-by-step explanation:
Therefore the equation of the line in function-form is f(x)=-2x-1
An equation of a line on the cartesian plane is given by y=mx+c. Here m denotes the slope of the line and c denotes the y-intercept.
Slope of a line is defined as the inclination of the line along the positive x- axis . Slope is calculated by the formula 
where 
and 
are two points on the line.
y-intercept is defined as the point where the line passes through the y-axis.
From the graph we can see that the line passes through (0,-1)and (-1,1)
therefore slope of the line is
Now we know that the equation of a line passing through a point and with slope m is given by
Substituting the values in the equation we get
y-(-1)=-2(x-0)
or, y=-1-2x
Therefore the equation of the line in function-form is f(x)=-2x-1 .Hence the second option is correct.
To learn more about the equation of the line visit:
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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
Answer:
The volume ratio is also 5 : 7
Step-by-step explanation:
The volume of a cylinder is given by the following formula:
volume = pi*r²*h
Since we have two cylinders and their height varies at a ratio of 5:7 we can say that the smaller one has a height of "h" while the bigger has height of "(7/5)*h". Thefore their volume is:
volume smaller = pi*r²*h
volume bigger = pi*r²*(7/5)*h
volume bigger = (7/5)*pi*r²*h
The ratio of their volume is given by the division of the smaller volume by the bigger one:
volume ratio = volume smaller / volume bigger
volume ratio = (pi*r²*h) / [(7/5)*pi*r²*h] = 1/(7/5)
volume ratio = 5/7
The volume ratio is also 5 : 7.
