Answer:
x = 9.6
Step-by-step explanation:
9x + 1 = 88
combine like terms
9x = 87
divide
87/9 = 9.6
x = 9.6
It is a quadratic equation, if it is equal to zero. It is not factor able.
Answer:
31.4 in³
Step-by-step explanation:
The box is just big enough to hold the 3 balls, so it must have a length 6 times the radius of each ball, a width 2 times the radius, and a height 2 times the radius.
The volume of the box is:
V = (6r)(2r)(2r)
V = 24r³
The volume of the 3 balls is:
V = 3 (4/3 π r³)
V = 4πr³
So the volume of the air is:
V = 24r³ − 4πr³
V = (24 − 4π) r³
Since r = 1.4 inches:
V = (24 − 4π) (1.4 in)³
V ≈ 31.4 in³
Answer:
-2/3
Step-by-step explanation:
The slope of a line is found by
m= (y2-y1)/(x2-x1)
= (12-2)/(-10 -5)
= 10/-15
= -2/3
Remainder Theorem says that if there is any Polynomial equation P(x), which is to be divided by (x - a) then remainder can be calculated by substituting value of a in equation P(x).
= P(x) divided by 
Step 1: Find a
To find a we will have to convert (x+2) into (x - a) form
i.e. (x+2) = (x - (-2))
therefore, a = -2
Step 2: Substitute value of a in P(x),
By substitution we get,

= 
= 
=
= Remainder
Hence, Remainder is 55.