Answer:
(x + 9)(x + 2 )
Step-by-step explanation:
Sum =11
Product = 18
Factors = 9 , 2
When you multiply (9*2 = 18) and when you add (9 +2 = 11).
x² + 11x + 18 = x² + 9x + 2x + (9*2)
=x(x + 9) + 2(x + 9)
= (x + 9)(x + 2 )
Answer:
The graph f(x)=
is a reflection over the x-axis, vertical stretch by a factor of 2, a horizontal translation left 3 units and a vertical translation 4 units down of the graph y=
.
Step-by-step explanation:
The graph f(x) is reflected over the x-axis because the negative is outside of the parenthesis.
it's a vertical stretch by a factor of 2 because 2 is outside of the parenthesis and is greater than 1.
(x+3) is a horizontal translation left 3 units because it is inside the parenthesis.
-4 is vertical translation 4 units down because it is outside of the parenthesis.
Answer:
6.
Step-by-step explanation:
To round 5.955 to the nearest tenth consider the hundredths’ value of 5.955, which is 5 and equal or more than 5. Therefore, the tenths value of 5.955 increases by 1 to 0.
Probability =
(number of possible ways to succeed)
divided by
(total number of possible outcomes) .
Number of ways to succeed = 2 (pick the 'A' or the 'L')
Total number of possible outcomes = 5 (the cards on the table) .
Probability of success = 2/5 = 40% .
The solutions appear to be
{π/2, 2π/3, 4π/3}.
_____
Replacing sin(2x) with 2sin(x)cos(x), you have
2sin(x)cos(x) +sin(x) -2cos(x) -1 = 0
sin(x)(2cos(x) +1) -(2cos(x) +1) = 0 . . . . factor by grouping
(sin(x) -1)(2cos(x) +1) = 0
This has solutions
sin(x) = 1
x = π/2and
2cos(x) = -1
cos(x) = -1/2
x = {2π/3, 4π/3}