Answer:
Reminder when performing your check step, always substitute your solution by enclosing it in parentheses. -x + 3 = 2(3 - 2x)
1 answer:
Answer:
x = 1
Step-by-step explanation:
For the equation given, we have to solve for the value of "x".
First, when simplifying, we will need the distributive property shown below:
<u>Distributive Property:</u>
a(b - c) = ab - ac
Now, lets do algebra:
The value of x is 1
Lets substitute x = 1 into equation to check:
-x + 3 = 2(3-2x)
LEFT SIDE:
-(1) + 3
= -1 + 3
=2
RIGHT SIDE:
2(3-2x)
2(3-2(1))
=2(3-2)
=2(1)
= 2
<em>This is indeed the solution since left hand side equals right hand side</em>
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Answer:
B
Step-by-step explanation:
The red graph is a horizontal translation of 5 units left followed by a reflection in the x- axis.
Given f(x) then f(x + a) is a horizontal translation of f(x)
• If a > 0 then a shift to the left of a units
• If a < 0 then a shift to the right of a units
The black graph is shifted 5 units left, thus
f(x) → f(x + 5)
Under a reflection in the x- axis
a point (x, y ) → (x, - y )
Note that the y- coordinate of the image is the negative of the original
Note also that = - y, thus
= f(x + 5) → B
Answer:
P(x=2) = 0.2368
Step-by-step explanation:
given data
stocks of local interest N = 20
stocks increased K = 10
stocks decreased = 5
remained unchanged = 5
solution
we take here no of stock that are increased randomly n = 2
so here Hypergeometric random variable can take integer value
{max(0, n+k - N ), min(n,K) } = {0,2}
so here
P(x=2)
so
P(x=k) = .......................1
P(x=2 ) =
solve it we get
P(x=2 ) = 0.236842
now we use excel function as
HYPGEOM.DIST (k,n,N.cumulative) .....................2
so it will be
HYPGEOM.DIST (2,2,10,,false)
we get
HYPGEOM.DIST (2,2,10,,false) = 0.236842
so
P(x=2) = 0.2368