Answer:
630
Step-by-step explanation:
The sum of an arithmetic sequence is given by ...
Sn = n(2a1 +(n-1)d)/2
For the sequence of numbers of bales, we have ...
a1 = 123, d = -11, n = 7
so the total number of bales in 7 trips around the field is ...
S7 = 7(2·123 +6(-11))/2 = 630
The total number of bales made is about 630.
_____
123 + 112 + 101 + 90 + 79 + 68 + 57 = 630
Answer:
Answers:
Rate of change = -5
Initial value = 25
Step-by-step explanation:
Each time x increases by 2 (eg from x = 1 to x = 3), the value of y drops by 10 (eg from y = 20 to y = 10)
Therefore the slope is...
slope = rise/run = (change in y)/(change in x) = -10/2 = -5
slope = -5
So each time x increases by 1, y will decrease by 5
Flip things around: each time x decreases by 1, y will increase by 5
So the pair (x,y) = (1,20) shown in row 1 of the table leads to (0,25) based on the rule above. Another way to see this is to plug m = -5, x = 1 and y = 20 into y = mx+b and solve for b to get b = 25
Answer:
it would be in a decimal 2.6
Step-by-step explanation:
answer: 8
i added all the numbers and divided them by how much numbers there are
Answer:
Option A is the correct answer.
Step-by-step explanation:
The equation of a straight line can be represented in the slope-intercept form, y = mx + c
Where c = intercept
Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis
change in the value of y = y2 - y1
Change in value of x = x2 -x1
y2 = final value of y
y 1 = initial value of y
x2 = final value of x
x1 = initial value of x
From the graph,
y2 = 6
y1 = 2
x2 = 3
x1 = 1
Slope,m = (6 - 2)/(3 - 1) = 4/2 = 2
To determine the intercept, we would substitute x = 3, y = 6 and
m= 2 into y = mx + c. It becomes
6 = 2 × 3 + c = 6 + c
c = 6 - 6 = 0
The equation becomes
y = 2x