9514 1404 393
Answer:
6
Step-by-step explanation:
The value of b that makes the two lines identical is the opposite of the y-intercept of the line.
y = 6x -6 . . . . has y-intercept = -6
The value of b is the number in the term -6, so is 6.
Answer:
The volume is the amount of space an object takes up.
The mass is the measure of how much matter in a object.
The density is the mass <em>divided </em><em>by</em> volume.
Answer: The required value is
Step-by-step explanation: The given functions are:
We are given to find the value of 
We know that, if s(x) and t(x) are any two functions of a variable x, then we have
Therefore, we have
Thus, the required value is
Answer:
) See annex
b) See annex
x = 0,5 ft
y = 2 ft and
V = 2 ft³
Step-by-step explanation: See annex
c) V = y*y*x
d-1) y = 3 - 2x
d-2) V = (3-2x)* ( 3-2x)* x ⇒ V = (3-2x)²*x
V(x) =( 9 + 4x² - 12x )*x ⇒ V(x) = 9x + 4x³ - 12x²
Taking derivatives
V¨(x) = 9 + 12x² - 24x
V¨(x) = 0 ⇒ 12x² -24x +9 = 0 ⇒ 4x² - 8x + 3 = 0
Solving for x (second degree equation)
x =[ -b ± √b²- 4ac ] / 2a
we get x₁ = 1,5 and x₂ = 0,5
We look at y = 3 - 2x and see that the value x₂ is the only valid root
then
x = 0,5 ft
y = 2 ft and
V = 0,5*2*2
V = 2 ft³
Answer:
the answer is 7/9
Step-by-step explanation:
