Answer:
.5
Step-by-step explanation:
That 0 between 1 is .5
Answer:
a- x = 5/3, or x = -7/2
b- 675
c - 5·x + 2
Step-by-step explanation:
The polynomial representing the capital of the two partners = 6·x² + 11·x - 35
a. The total share is the capital of the two partners together = 6·x² + 11·x - 35
∴ When their total share is equal to 0, we have;
6·x² + 11·x - 35 = 0
Factorizing the above equation with a graphing calculator gives;
(3·x - 5)·(2·x + 7)
Therefore;
x = 5/3, or x = -7/2
b- The total expenditure, when x = 10 is given by substituting the value of <em>x </em>in the polynomial 6·x² + 11·x - 35, as follows;
When x = 10
6·x² + 11·x - 35 = 6 × 10² + 11 × 10 - 35 = 675
The total expenditure of Vicky and Micky when x = 10 is 675
c - The sum of their expenditure is (3·x - 5) + (2·x + 7) = 5·x + 2
Answer:
It is increasing before x = -2 and from x = 0 to x = 2
Step-by-step explanation:
Option 1 - you can see the line going down starting at -2 and that means the line is decreasing but the choice says "It is increasing before x = 0". This contradicts the actual graph.
Option 2 - The line isn't increasing before x= -1, it's actually decreasing as seen in the graph.
Option 3 - The line doesn't even touch the point before x = -3 so this choice makes no sense.
Option 4 - Since all the other choices were eliminated this is the only choice standing. Looking at the line it is increasing before x = -2.
Answer:
(a-f)/6 = r
Step-by-step explanation:
The total Bonnie must pay is the weekend fee plus the hourly rate times the hours worked
Cost = weekend fee * hourly rate* hours
hours = 6
weekend fee =f
hourly rate = r
Cost = a dollars
Substituting in what we know
a = f+ 6r
We want to solve for r
Subtract f from each side
a-f =f-f +6r
a-f = 6r
Divide each side by 6
(a-f)/6 = 6r/6
(a-f)/6 = r
We would divide $204 by 3 to find out how much did each shopper spent. $204/3 is $68. So, each shopper spent $68. Hope this helped!
