Answer:
3x−1
Step-by-step explanation:
1 Split the second term in 6{x}^{2}+x-16x
2
+x−1 into two terms.
\frac{6{x}^{2}+3x-2x-1}{4{x}^{2}-1}
4x
2
−1
6x
2
+3x−2x−1
2 Factor out common terms in the first two terms, then in the last two terms.
\frac{3x(2x+1)-(2x+1)}{4{x}^{2}-1}
4x
2
−1
3x(2x+1)−(2x+1)
3 Factor out the common term 2x+12x+1.
\frac{(2x+1)(3x-1)}{4{x}^{2}-1}
4x
2
−1
(2x+1)(3x−1)
4 Rewrite 4{x}^{2}-14x
2
−1 in the form {a}^{2}-{b}^{2}a
2
−b
2
, where a=2xa=2x and b=1b=1.
\frac{(2x+1)(3x-1)}{{(2x)}^{2}-{1}^{2}}
(2x)
2
−1
2
(2x+1)(3x−1)
5 Use Difference of Squares: {a}^{2}-{b}^{2}=(a+b)(a-b)a
2
−b
2
=(a+b)(a−b).
\frac{(2x+1)(3x-1)}{(2x+1)(2x-1)}
(2x+1)(2x−1)
(2x+1)(3x−1)
6 Cancel 2x+12x+1.
\frac{3x-1}{2x-1}
2x−1
3x−1
Answer:
c 17000 mowers
Step-by-step explanation:
y = 5500 ln (9t+4)
y is the number of mowers sold
t is the number of years
Substitute 2 in for t to find the number of mowers sold after 2 years
y = 5500 ln (9*2+4)
= 5500 ln (18+4)
= 5500ln(22)
17000.7334934707
Round to the nearest hundread
17000
A:
When x=0, y is undefined. Hence A is wrong.
B:
When x=1, y=0. Thus, graph passes through (1,0) and B is correct.
C:
Plotting the graph gives us a shape consistent with an increasing function, so C is true.
D:
The graph contains values of y that are negative (y<0) so this is wrong.
E:
Graph is strictly increasing so this option is wrong.
F:
No, domain is x>0.
Correct options are B and C.
5/25=1/5 of a chance she will get a yellow marble
Answer:
cm is a median in triangle abc, then m is a midpoint of AB so AM = MB
A is a common point
so the two triangles are equal