I think the answer is 54 because negative times a negative number equals positive and 9x5 is 45 + another negative times negative so 3x3 is 9 so add 45+9 which is 54.
Answer: 18: 0, because they have the same number of quarts
19: she will make 20 quarts
Step-by-step explanation:
18: 8 lemon lime- 8 orange =0
19: 8+4+8
12+8
=20 quarts
Answer:
the volume of the solid is 
Step-by-step explanation:
Given the data in the question;
y = x and y = x²
so
x = x²
x - x² = 0
Radius will be; r = ( x - x² )/2
Area of the circular disk πr² = π[ ( x - x² )/2 ]²
A =
( x - x² )²
So, our volume will be;
V = ₀∫¹ A(x) dx
we substitute
= ₀∫¹
( x - x² )² dx
{ lets expand; ( x - x² )² = x(x-x²) -x²(x-x²) = x² - x³ - x³ + x⁴ = x² + x⁴ - 2x³ }
so we have;
= ₀∫¹
( x² + x⁴ - 2x³ ) dx
=
+
-
![]^1_0](https://tex.z-dn.net/?f=%5D%5E1_0)
=
[
+
-
]
=
[
]
V = 
Therefore, the volume of the solid is 
Answer:
a)
, b) 
Step-by-step explanation:
a) The instantaneous rate of change is:



b) The slope of the tangent line is equal to the instantaneous rate of change found previously.

Get this equation into y=mx+b form.
y-2=-3(x-4)
y-2=-3x+12
y=-3x+12+2
y=-3x+14
Hope this helps!
And just a note, this is provided in point-slope formula, meaning there is a point on the line, (4,2), based on the initial equation.