Answer:
C
Step-by-step explanation:
Simply substitute the equations f(x) and g(x) for f and g.
(4x+1)-(
-5)
4x+1-
+5
Do some rearranging and:
+4x+6
Hope this helped!
Answer:
11:05
Step-by-step explanation:
(4x - 3)(2x - 1) ≥ 0
First, find the zeros:
4x - 3 = 0 2x - 1 = 0
x =
x = 
Next, plot these points and choose test points on the outside and between the zeros:
←-------0------
------
------
------1------→
Lastly, plug in the test points and look for a positive result (since it is greater than 0).
Test Point 0: [4(0) - 3][2(0) - 1] = ( - )( - ) = + THIS WORKS!
Test Point
: [4(
) - 3][2(
) - 1] = ( - )( + ) = - <em>This does NOT work</em>
Test Point 1: [4(1) - 3][2(1) - 1] = ( + )( + ) = + THIS WORKS!
Answer: x ≤
or x ≥ 
Interval Notation: (-∞,
] U [
, ∞)
Graph: ←------
--------→
[ - 4 , 4 ) ∪ ( 4 , ∞ )
The denominator of f(x) cannot be zero as this would make f(x) undefined. Equating the denominator to zero and solving gives the value that x cannot be.
solve x - 4 = 0 ⇒ x = 4 ( is a vertical asymptote )
There is a zero when the numerator equals zero.
x + 4 = 0 ⇒ x = - 4 ( is a zero )
domain is [-4 , 4 ) ∪ ( 4 , ∞ )
2*5=10 (the measure of one long side is 10)
3*4=12 (the measure of one wide side is 12)
A box has four sides to the perimeter of the flat wrapping paper must consist of four edges. Because we know that one edge is 10 inches long and another side is 12 inches wide we assume that the corresponding sides are equal.
So now we know that we have two sides that are 10 inches and 2 sides that are 12 inches.
10+10+12+12= 44 inches