Is there a pattern behind prime numbers?
1 answer:
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For this case we have the following exponential function:
Evaluating the function for x = -1 we have:
By power properties we can rewrite the function.
We have then:
Answer:
The value that completes the table when x = -1 is:
D. 2
Evaluating the function for x = -1 we have:
By power properties we can rewrite the function.
We have then:
Answer:
The value that completes the table when x = -1 is:
D. 2
Answer:
Step-by-step explanation:
To find the equation of the a line that passes through the two given points, we must first find the slope between the two points. We can do this by using the slope formula. The slope formula is:
where m is the slope and (x₁, y₁) and (x₂, y₂) are two points.
By plugging in (-2, -4) and (0, 5) for (x₁, y₁) and (x₂, y₂) respectively, we get:
So the slope is 9/2. Now we that we have found the slope, we can write an equation. Normally, when we are given two points, we would pick one of the points and plug it into the point-slope form and then solve for slope-intercept form. Here, notice that one of the points give, (0, 5), is the y-intercept. Knowing this, we can plug in 5 for the y-intercept into the slope-intercept form to get our equation. Remember, slope-intercept form is:
y = mx + b
where m is the slope and b is the y-intercept.
Pugging in 9/2 for m and 5 for b we get:
which would be our equation.
I hope this helps. Happy studying.