Answer:
y = 2x - 1
Step-by-step explanation:
Note the difference between consecutive terms of y are constant, that is
1 - (- 1) = 3 - 1 = 5 - 3 = 7 - 5 = 9 - 7 = 2
Thus the equation is of the form y = 2x ± c ← c is a constant
Substitute values of x to determine the required value of c
x = 0 : 2 × 0 = 0 ← require to subtract 1 for y = - 1
x = 1 : 2 × 1 = 2 ← require to subtract 1 for y = 1
x = 2 : 2 × 2 = 4 ← require to subtract 1 for y = 3, and so on
Thus the required equation is
y = 2x - 1
250 and - 1250
This is a geometric sequence with common ratio r = - 5
multiply each term by - 5 to obtain the next term
- 50 × - 5 = 250
250 × - 5 = - 1250
the sequence is - 2, 10, - 50, 250, - 1250
Answer:
17.
Step-by-step explanation:
<u>Divide 85 by 5 to find the unit rate:</u>
<u />
17 represents the amount of pages printed for 1 minute.
Answer:
11 and 13
Step-by-step explanation:
the first (smaller) odd integer can be called x
the second (larger) odd integer can be called x+2
2(x+2)+x = 37
<em>[simplify . . .]</em>
2x+4+x = 37
3x+4 = 37
<em>[subtract 4 from each side]</em>
3x = 33
<em>[divide each side by 3; find smaller odd integer]</em>
x = 11
<em>[add 2 to find larger odd integer]</em>
x+2 = 13
Answer:
5.5296
Step-by-step explanation:
to evaluate the expression 4x^4 y^3 we would substitute the value of x and y into it and evaluate. since x = 1/5 and y = 6
4x^4 y^3
4 × x^4 × 4× y³
4 × (1/5)∧4 × 4 × 6³
4× (0.2)∧4 × 4 × 216
4 × 0.0016 × 864
0.0064 × 864
5.5296
