We can start with "All real number," then we eliminate certain value what would cause zero in denominator;
Here, we have denominator of √(2x+8)
We need to exclude value of x from real number such that √(2x+8) = 0 So solve for x here;
√(2x+8) = 0
[√(2x+8) ]² = 0²
2x+8 = 0
2x = -8
x = -4
So we cannot have x to be -4, otherwise denominator would be zero.
So exclude -4 from "All real number"
Now we have domain of (-∞, -4) U (-4, ∞) or All real number; x ≠ -4.
Answer:
Angle CBD = 34°
Step-by-step explanation:
Since sides CD = CB their corresponding angles will also be same
Answer:
a>-8
Step-by-step explanation:
-4
2/3a>-12
a>-8
For each roll you start with paying 2 dollars and you only with 10 dollars one out of 6 rolls (on average).
So the cost for one play is 2 dollars and your win is 10/6.
Value is -2+10/6=-1/3 dollars
So you lose 1/3 dollars on average with each game.
we are given
now, we can compare it with
we can find b
we get
now, we are given
How would the graph change if the b value in the equation is decreased but remains greater than 1
Let's take
b=1.8
b=1.6
b=1.4
b=1.2
now, we can draw graph
now, we will verify each options
option-A:
we know that all y-value will begin at y=0
because horizontal asymptote is y=0
so, this is FALSE
option-B:
we can see that
curve is moving upward when b decreases for negative value of x
but it is increasing slowly for negative values of x
so, this is FALSE
option-C:
we can see that
curve is moving upward when b decreases for negative value of x
but it is increasing slowly for negative values of x
so, this is TRUE
option-D:
we know that curves are increasing
so, the value of y will keep increasing as x increases
so, this is TRUE
option-E:
we can see that
curve is moving upward when b decreases for negative value of x
but it is increasing slowly for negative values of x
so, this is FALSE