6 cups.
2/5 of the mixture would be lemon juice, and 2/5ths of 15 is 6
689:53=13
............................................
Answer:
Step-by-step explanation:
1) a very poor question indeed. It has at least two possible solutions
c = 3x + 2 or c = 3(x + 2)
when x = 2
c = 3(2) + 2 = 8 or c = 3(2 + 2) = 12
when x = 5
c = 3(5) + 2 = 17 or c = 3(5 + 2) = 21
2)
y = x + 2
when x = 2
y = 2 + 2 = 4
when x = 5
y = 5 + 2 = 7
Answer:
Area = 2500 square feet is the largest area enclosed
Step-by-step explanation:
A rectangular piece of land borders a wall. The land is to be enclosed and to be into divided 3 equal plots with 200 feet of fencing
Let x be the length of each box and y be the width of the box
Perimeter of the box= 3(length ) + 4(width)

solve for y


divide both sides by 4

Area of the rectangle = length times width



Now take derivative

Set it =0 and solve for x


multiply both sides by 2/9


For any value of x, second derivative is negative
So maximum at x= 100/3
, replace the value of x

Area = 2500 square feet is the largest area enclosed
We are given that the zeroes are at
{-5, 0 , 3i}.
By the conjugate pair theorem, -3i, the conjugate of 3i, is automatically a zero for polynomials with real coefficients.
The factors of the polynomial are:
(x+5), x, (x+3i) and (x-3i)
The last two factors multiply to give a real quadratic factor of x^2+9.
Therefore the polynomial is of the form
f(x)=ax(x+5)(x^2+9)
where a is any non-zero real constant.