Answer: idk you can figure it out urself
Step-by-step explanation:
Answer:
100
Step-by-step explanation:
160 * (5/8) = 100
1. We use the recursive formula to make the table of values:
f(1) = 35
f(2) = f(1) + f(2-1) = f(1) + f(1) = 35 + 35 = 70
f(3) = f(1) + f(3-1) = f(1) + f(2) = 35 + 70 = 105
f(4) = f(1) + f(4-1) = f(1) + f(3) = 35 + 105 = 140
f(5) = f(1) + f(5-1) = f(1) + f(4) = 35 + 140 = 175
2. We observe that the pattern is that for each increase of n by 1, the value of f(n) increases by 35. The explicit equation would be that f(n) = 35n. This fits with the description that Bill saves up $35 each week, thus meaning that he adds $35 to the previous week's value.
3. Therefore, the value of f(40) = 35*40 = 1400. This is easier than having to calculate each value from f(1) up to f(39) individually. The answer of 1400 means that Bill will have saved up $1400 after 40 weeks.
4. For the sequence of 5, 6, 8, 11, 15, 20, 26, 33, 41...
The first-order differences between each pair of terms is: 1, 2, 3, 4, 5, 6, 7, 8...since these differences form a linear equation, this sequence can be expressed as a quadratic equation. Since quadratics are functions (they do not have repeating values of the x-coordinate), therefore, this sequence can also be considered a function.
First do it in brackets: (5.75+479.39)= 485.14
Then subtract it : 485.14-25.03 = 460.11
I hope it helped you!
Answer:
y = (x - 4)^2 + 5.89
Step-by-step explanation:
The x-coordinate of the vertex is 4, and x = 4 is the axis of symmetry.
The general vertex equation of a parabola is
y = a(x - h)^2 + k, where the vertex is (h, k) and a is a constant coefficient, not yet known.
We know that this parabola passes through the point (7.3, 5), and so we can substitute 7.3 for x and 5 for y in the above equation, obtaining:
5 = a(x - 4)^2 + k
Let's assume that a = 1. Then
5 = (7.3 - 4)^2 + k.
Simplifying, we get
5 = 3.3^2 + k, or 5 = 10.89 + k. Then k = -5.89, and the equation is then
y = (x - 4)^2 + 5.89
