Answer:
Choice A is the correct answer
Step-by-step explanation:
To evaluate the limits, we simply perform direct substitution; substitute -infinity into each expression in the alternatives and then simplify the expression. Notice that only the expressions in alternative A will fit this criteria since they will be tending to -infinity as x approaches -infinity.
It’s A! hope this helps you out!
X^2 + y^2 - 2x + 7y + 1 = 0
(x^2 - 2x) + (y^2 + 7y) + 1 = 0
(x^2 - 2x + 1) + (y^2 + 7y) + 1 = 0+1
(x^2 - 2x + 1) + (y^2 + 7y + 49/4) + 1 = 0+1+49/4
(x - 1)^2 + (y + 7/2)^2 + 1 = 0+1+49/4
(x - 1)^2 + (y + 7/2)^2 + 1-1 = 0+1+49/4-1
(x - 1)^2 + (y + 7/2)^2 = 49/4
(x - 1)^2 + (y + 7/2)^2 = (7/2)^2
The final answer is choice B
Answer: h(x) = 3^(-x/4)
Step-by-step explanation:
If we have a function f(x), an horizontal stretch of scale factor k is written as:
g(x) = f(x/k)
So, if we have the function f(x) = 3^x
A horizontal stretch of scale factor 4 is:
g(x) = f(x/4) = 3^(x/4)
Now we have a reflection across the y-axis
If we have a function f(x), a reflection across the x-axis is written as:
g(x) = f(-x)
Then if now we apply a reflection across the y-axis to the function g(x), we have:
h(x) = g(-x) = 3^(-x/4)
Then the transformation that we wanted is:
h(x) = 3^(-x/4)
Answer:
the probability is 0.6
Step-by-step explanation:
The computation is shown below:
Let us assume the X would be the number appear on the top face
Now
= P(X = 1) ÷ P(X = 0)
= 0.3 ÷ 0.3 + 0.1 + 0.1
= 0.3 ÷ 0.5
= 0.6
hence, the probability is 0.6
