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victus00 [196]
3 years ago
9

One sixth of forty-two is seven. How do I write out the equation for that?

Mathematics
1 answer:
sertanlavr [38]3 years ago
6 0

Answer:

Step-by-step explanation:

1/6 * 42 = 7

"of" means multiply

"is" means =

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Bill is able to save $35/week after working part-time and paying his expenses. These two formulas show his weekly savings: f(1)
Umnica [9.8K]
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.
4 0
3 years ago
Given the domain values {-3, 0, 3} what is the range for the equation f(x) = −5x + 2? Question options: {-3, 0, 3} {-6, 2, 6} {-
Fynjy0 [20]

The range is the set of all possible output, as you feed the function with all possible inputs. Since our inputs (domain) are -3, 0, 3, our outputs are

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So, the range is

\{-13, 2, 17\}

5 0
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