The formula for slope is y=mx+b
so if you re arrange the equation from 8y-16x=12
to 8y=16x+12
the slope will be the coefficient of x =16
Using a system of equations, it is found that since 20 child bikes and 6 adult bikes would require more testing than the allocated time, it is not possible to build this amount.
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
- Variable c: number of child bikes.
- Variable a: number of adult bikes.
Each child bike requires 4 hours to build, as do each adult bike. The company has 100 hours of testing, hence:
4c + 4a = 100.
c + a = 25.
With 20 child bikes and 6 adult bikes in a week, we have that c = 20, a = 26, hence:
c + a = 26
20 child bikes and 6 adult bikes would require more testing than the allocated time, it is not possible to build this amount.
More can be learned about a system of equations at brainly.com/question/24342899
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<h3>
Answer: Choice D) 3n^2</h3>
"mono" means "one". I often think of "monorail" which means "one rail" to help remember this. So "monomial" means "one term". This reduces our choices to either C or D, as they show one term each. Choices A and B are ruled out as these are binomials, showing two terms each.
Choice C shows a cubic monomial since the exponent here is 3. So the degree is 3. We can rule out choice C.
Choice D has a 2nd degree monomial because the exponent is 2. The leading coefficient is 3 as this is the number to the left of the variable term. All of choice D fits with the description of "A monomial of the 2nd degree with leading coefficient of 3"
If you start with a 12x16 rectangle and cut square with side length x, when you bend the sides you'll have an inner rectangle with sides 
and 
, and a height of x.
So, the volume will be given by the product of the dimensions, i.e.
The derivative of this function is
and it equals zero if and only if
If we evaluate the volume function at these points, we have
So, the maximum volume is given if you cut a square with side length
If the wheel is $650=8% tax, the tax would be $52 we get that by multiplying 650*8% then add 650+52 and we get 702. so together the cheese wheel is $702
