Answer:
<h2>A)x=3/2 y=½</h2>
Step-by-step explanation:
<h3>to understand this</h3><h3>you need to know about:</h3>
- system of linear equation
- PEMDAS
<h3>let's solve:</h3>
- since y is equal to both equation therefore we can substitute the value of y into the other equation
let's figure out y
- substitute the got value of x into the second equation: y=3*3/2 -4
- simplify multiplication:9/2 -4
- simplify division:4.5-4
- substract:0.5 alternate form:y=½
The answer to this question is B. 105
Answer:
{-2, - 1, 0, 1}
Step-by-step explanation:
The integer solutions will be {-2, - 1, 0, 1}
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.
Answer:
The Last One
Step-by-step explanation:
1/5 x 5 x 5 x 5 x 5 x 5
Because:
5 x 5 = 25
25 x 5 = 125
125 x 5 = 625
625 x 5 = 3125
3125 x 5 = 15625
And (5^3)^-2 is equal to 1/15625
Hope This Helps! :)
