Answer: y = x + 2 OR f(x) = x + 2
Step-by-step explanation:
Calculating slope:
Remember rise over run; when going from one point to another point, in this case from (-3, -1) to (0,2), locate the distance moved in the x and y directions. This scenario moves 3 up and 3 right, meaning a positive slope of one. However, if the line was directed left, your slope would be negative.
Finding y-intercept:
Where does the line intersect the y-axis and have a x-value of 0? This is your y-intercept --> (0,2).
Write Equation:
y = mx +b
y = 1x + 2
y = x + 2 <em>(your final answer)</em>
We need to find the probability of the event:
having blue eyes or blond hair
This event is the union of the events:
A: having blue eyes.
B: having blond hair.
So, we need to find the probability P(A ∪ B). In order to do so, we can use the following formula:
P(A ∪ B) = P(A) + P(B) - P(A ∩ B)
We know that the probability of the intersection of A and B (having both) is
P(A ∩ B) = 24%
Also:
P(A) = 43%
P(B) = 46%
Then, using those values into the above formula, we find:
P(A ∪ B) = P(A) + P(B) - P(A ∩ B)
P(A ∪ B) = 43% + 46% - 24%
P(A ∪ B) = (43 + 46 - 24)%
P(A ∪ B) = 65%
Answer:

Step-by-step explanation:
we have that
The axis of symmetry shown in the graph is x=4
we know that
The axis of symmetry of a vertical parabola is equal to the x-coordinate of the vertex
so
<em>Verify each case</em>
<em>case a)</em> we have

The vertex is the point (-4,0)
therefore
Cannot be the function
<em>case b)</em> we have

The vertex is the point (0,4)
The axis of symmetry is x=0
therefore
Cannot be the function
<em>case c)</em> we have

The vertex is the point (4,0)
The axis of symmetry is x=4
therefore
Could be the function
<em>case d)</em> we have

The vertex is the point (0,-4)
The axis of symmetry is x=0
therefore
Cannot be the function
The answer is D , start from 2 and count to 8 and it gives you your answer
Answer:
8^-32
Step-by-step explanation: