(11,1) because if you plug in x and y this answer is the only one that gives you 18 in the end
Answer:
$15. 90
Step-by-step explanation:
3% of 530= 15.9
Check the picture.
let the length of a side of each of the squares removed be x.
The box formed will have dimensions: 80-2x, 50-2x, x(the height)
So the volume can be expressed as a function of x as follows:
f(x)=(80-2x)(50-2x)x=
![[4000-160x-100x+4 x^{2} ]x=(4 x^{2}-260x+4000)x](https://tex.z-dn.net/?f=%5B4000-160x-100x%2B4%20x%5E%7B2%7D%20%5Dx%3D%284%20x%5E%7B2%7D-260x%2B4000%29x)
so

the solutions of f'(x)=0 gives the inflection points, so the candidates for maxima points,

solving the quadratic equation, either by a calculator, graphing software, or by other algebraic methods as the discriminant formula, we find the solutions
x=10 and x=33.333
plug in f(x) these values to see which greater:

cm cubed

which is negative because (50-66.666)<0
Answer: 18000 cm cubed
Answer:
3(3a - 6b + 7c )
Step-by-step explanation:
The greatest common factor of 9, 18 and 21 is 3
Factor out 3 from each term
9a - 18b + 21c
= 3(3a - 6b + 7c) ← in factored form
Answer:




Step-by-step explanation:
we are given

Calculation of A(4):
we can plug x=4

Since, this curve is below x-axis
so, the value of integral must be negative
and it is quarter of circle
so, we can find area of quarter circle
radius =4


Calculation of A(8):
we can plug x=8

we can break into two parts

now, we can find area and then combine them


Calculation of A(12):
we can plug x=12

we can break into two parts

now, we can find area and then combine them


Calculation of A(14):
we can plug x=14

we can break into two parts

now, we can find area and then combine them


