Answer:
equation: y=-2x+2
a=-3
b=-8
Step-by-step explanation:
we need to find the equation of the line containing the point (3,-4) and has the slope (m) of -2
slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept
we can plug what we know into the equation:
y=-2x+b
we need to find b though
since the point will pass through the point (3,-4) we can subsitute it into the equation to find b
-4=-2(3)+b
-4=-6+b
2=b
the y intercept is 2
so the equation is y=-2x+2
the line also contains the points (a,8) and (5,b)
first, let's find a
a is the x value of the point
we know the value of y (8)
substitute y as 8 and solve for x
8=-2x+2
subtract
6=-2x
-3=x=a
so a is -3
now find b
b is the y value of the point
we know the x value (5)
substitute x as 5 and solve for y
y=-2(5)+2
y=-10+2
y=-8=b
so b is -8
hope this helps!
You forgot to put the options and the rest of the equation
Answer:
1. a(x) = (x-4) (x-1) (2x+1) (x+3)
2. b(x) = (x^2-2) (x-5) (x+3)
3. c(x) = (2x-1) (x^2- 2x + 5)
Answer:
In week 1, 69.15% of sales were 10-inch pizzas, and the remaining 30.85% were 12-inch pizzas; while in week 2, 71.09% of sales were 10-inch pizzas, and the remaining 28.91% were 12-inch pizzas.
Step-by-step explanation:
Given that a takeaway sells 10 inch pizzas and 12 inch pizzas, to determine what proportion sold were 10 inch pizzas in week 1 and what proportion sold were 10 inch in week 2, the following calculation must be performed:
Week 1 = 736 total sales
10-inch pizzas = 509
736 = 100
509 = X
509 x 100/736 = X
50,900 / 736 = X
69.15 = X
100 - 69.15 = 30.85
Thus, in week 1, 69.15% of sales were 10-inch pizzas, while the remaining 30.85% were 12-inch pizzas.
Week 2 = 1076 total sales
10-inch pizzas = 765
1076 = 100
765 = x
765 x 100/1076 = X
76500/1076 = X
71.09 = X
100 - 71.09 = 28.91
Thus, in week 2, 71.09% of sales were 10-inch pizzas, while the remaining 28.91% were 12-inch pizzas.
Divide the total cost by all 5 panes to get the cost of 1 pane:
14.25/5 = 2.85
Then multiply by 2:
2.85 * 2 = $5.7