Answer:
The two numbers following 1,-2,3,-4,5... are -6 and 7.
Step-by-step explanation:
index: 1 2 3 4 5 ....
value: 1 -2 3 -4 5
Let the index be n. Then the first term is a(1), the secon is a(2), and so on.
a(2) = 2*(-1)^(2-1) = 2*(-1) = -2 (correct)
a(3) = 3*(-1)^(3-1) = 3*(-1)^2 = 3 (correct)
a(4) = 4*(-1)^(4-1) = 4*(-1)^3 = -4 (correct)
So the general formula for a(n) is: a(n)=n(-1)^(n-1)
Thus,
a(5) = 5(-1)^4 = 5
a(6) = 6(-1)^5 = -6
a(7) = 7(-1)^6 = 7
The "next two numbers in the pattern" are -6 and 7. The first 7 numbers are
1,-2,3,-4,5, -6, 7
Answer:
8
Step-by-step explanation:
The y-intercept (b) of the function is the point at which the line of the graph of the given values of the table above crosses the y-axis, for which x = 0.
To find the y-intercept of the function represented by the tables, recall the equation of a straight line which is given as:
y = mx + b
Where, m is the slope = (y2 - y1)/(x2 - x1)
b = the y-intercept we are to find
y and x could be any values of a point on the graph which is represented in the table of values.
First, let's find the slope (m):
Let's use any 2 given pairs of the values in the table above.
Using,
(1, 4), (2, 0),
y1 = 4,
y2 = 0
x1 = 1
x2 = 2
m = (0 - 4)/(2 - 1)
m = -4/1 = -4
=>Using, y = mx + b, let's find the y-intercept (b), taking any of the coordinate pairs from the table of values given.
Let's use, (1, 4) as our x and y values.
Thus,
4 = -4(1) + b
4 = -4 + b
Add 4 to both sides to solve for b
4 + 4 = -4 + b + 4
8 = b
y-intercept of the function represented by the table of values = 8
Answer:
12 3/20 is the simplest form
$750 + s x 4% = $2,500 | - $750
s x 4% = $1,750 | : 4%
s = $43.750
Answer:
The answer is 33.75 per hour
Step-by-step explanation:
Divide 135 by 4
