Look at the beginning of the recursive formula:
It gives us the first value, which is 7. The second part means that for whatever term we want to find, we plug that in for 'n'. Say we want to find the second term, let's plug in 2 for 'n':
We are left with f(1), which is given as 7. So the second term is 7 and then we have the leftover blank. We already know that the second term is 13. 13 - 7 = 6.
Therefore, what must be missing from this recursive formula is + 6.
For the explicit function, we want to know what will give us these same values if we plugged in which term we want for 'n'. So if we plugged in 1 for 'n', we want to get 7, and if we plugged in 2 for 'n' we want to get 13, and so on. I can spot the similarity that all of these are additions of 1 to the multiples of 6. 6 * 1 = 6 + 1 = 7, 6 * 2 = 12 + 1 = 13, and so on. We could just write this as:
If you tried plugging in 1, you'd get 7, if you plugged 2 in, you'd get 13, and so on. So this is our explicit formula, the
2nd blank should be 6, and the
3rd blank should be + 1.
For the fourth blank, f(10) would just be plugging in 10 for 'n' into our formula, let's do this:
Multiply:
Add:
So
the 4th blank should be 61.
Answer:
jada walks 0.6 miles farther after 3 hours
Step-by-step explanation:
jada walks at a speed of 3 miles per hour. elena walks at a speed of 2.8 miles per hour.
We find the distance both walked in 3 hours
distance = speed * time
Distance Jada walks = 3 * 3 = 9 miles
Distance Elena walks = 2.8 * 3= 8.4 miles
Now we find the difference of distance walked
Jada's distance - Elen's distance
9 - 8.4 = 0.6
jada walks 0.6 miles farther after 3 hours
The equation of f(x) based on the information given in the graph will be B. f(x) = -3(x + 4)² + 4.
<h3>How to calculate the equation?</h3>
The function given is g(x) = x². It should be noted that the general equation of the parabola is given as:
y = a(x - h)² + k
In this case, the value of a and the vertex coordinate will be put back into the equation. This will be:
y = -3(x -(-4))² + k
y = -3(x + 4)² + 4.
Therefore, the equation is f(x) = -3(x + 4)² + 4.
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Answer:
B- a translation then a reflection
Step-by-step explanation:
Translation is moving the shape left or right or up or down and if you move the blue on 4 spaces to the right then it is below the red one. Reflection is when you flip a shape over an axis or line. in this case you would reflex over the x-axis and the two shapes would be lined up