Answer:
f(x) = (x-4)(x+2)
Step-by-step explanation:
f(x) = x^2 – 2x – 8
What 2 numbers multiply to -8 and add to -2
-4*2 = -8
-4+2 = -2
f(x) = (x-4)(x+2)
Answer:
A polygon is a very big catagory. For example, a triangle has three sides, while a quadrilateral has four sides.
A triangle would be, A=h*w/2 (h being hight, and w being width)
A quadrilateral would be, A=h*w
Let
denote the amount of salt in the tank at time
. We're given that the tank initially holds
lbs of salt.
The rate at which salt flows in and out of the tank is given by the relation
Find the integrating factor:
Distribute
along both sides of the ODE:
Since
, we get
so that the particular solution for
is
The tank becomes full when the volume of solution in the tank at time
is the same as the total volume of the tank:
at which point the amount of salt in the solution would be
Answer:
18 ounces
Step-by-step explanation:
5 x 6= 30
3 x 6= 18
3x² + 6x - 24
Simplify 3.
3(x² + 6x - 8)
Think of x² +2x−8. Factor the expression by grouping. First, we need to rewrite the expression as x² + ax + bx - 8. To find a and b, set up a system to be solved.
- a + b = 2
- ab = 1( −8 ) = −8
Since ab is negative, a and b have opposite signs. Since a+b is positive, the positive number has a greater absolute value than the negative. Show all pairs of integers whose product is −8.
Calculate the sum of each pair.
The solution is the pair that gives sum 2
Rewrite x² + 2x − 8 as (x² − 2x ) + (4x − 8).
Simplify x in the first group and 4 in the second.
Simplify the common term x−2 with the distributive property.
The entire factored expression is rewritten.
3 ( x − 2 )( x + 4 ) ===> Answer
We conclude that the correct option is "B".
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