The question mark would be 2 due to the fact of the communitive property (it doesn’t matter in what order you multiply numbers
Answer: x = ± i , x = ±√2i are solution .
Step-by-step explanation:
Given :
, use u substitution to solve.
To find : what are the solutions of the equation .
Solution : We have given that
.
Let consider
= u .
Substitute u =
in given equation .
.
On factoring
.
Taking common
u( u+2) +1 (u+2) = 0.
On grouping
(u+1) (u+2) =0
Now, u+1 = 0 ⇒ u = -1.
u+2 = 0 ⇒ u = -2.
In term of x, plugging
= u.
= -1 ;
= -2.
taking square root both side
x = ± i
x = ±√2i.
Therefore, x = ± i , x = ±√2i are solution .
Answer:
a) The graph shifted to the left by 3 units and up 1 unit.
b) Domain = x ∈ R Range = y ∈ R
(Domain (x) = All real numbers Range (y) = All real numbers)
c) (-4, 0)
d) (0, 2.442)
~Hope this helps! If you have any questions, please let me know!~
Answer:
Option A
Step-by-step explanation:
A system of equations is consistent when it has at least one solution. If the system is represented by lines it's not consistent if the lines that represent it never intercept each other. Now, if a system is consistent and has an infinite number of solutions then we say that is also dependent. When you graph the equations of a consistent and dependent system those graph must all be the same. Let's use this to find the answer. As you can see the graph of option B is composed of two different lines that we can identify so this is not a dependent system. The same happens with C and D, the graph of each of these systems is composed of two lines instead of one. Now let's see if A is dependent. We have the following equations:
y=2x+1
y-1=2x
If the second equation can be rewritten as the first one then they represent the same line and the system is dependent. Let's take the second equation and add 1 to both sides:
y-1+1=2x+1
y=2x+1
Which is exactly the same equation as the first one. Then these two equations represent the same line. Then the answer is option A.
Hence, the correct answer is Option A
Using z-scores,=1.28 using the equation go find z-scores, x-493/72=1.28, solving for x gives you a score of 585.16 which is the exact answer, but if rounding, the answer is 585.