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Step-by-step explanation:
Answer:
Side length of each placement is 6 inches.
Step-by-step explanation:
Kelly is using a ribbon to trim two identical placements of length = 80 inches
Each placement is in the shape of a regular hexagon.
So perimeter of these regular hexagons = 2×(Sum of all 6 sides of a hexagon)
Let the side length of each regular hexagon = x inches
Total perimeter of these identical placements = 2(6x) = 12x
Perimeter of identical placements = Length of the ribbon used
12x = (80 - length of leftover ribbon)
12x = 80 - 8
x =
x = 6 inches
Therefore, side length of each placement is 6 inches.
Answer:
Step-by-step explanation:
a) if the number of drill sold is plotted on the horizontal or x axis and the price of each drill sold is plotted on the vertical or y axis, the slope would be
m = (y2 - y1)/(x2 - x1)
= (40 - 50)/(3000 - 2000)
Slope, m = - 0.01
b)For every additional drill sold, the price per drill decreases by 0.01 cent
c) The equation of a straight line modelled in the slope intercept form is expressed as
y = mx + c
Where
m represents slope
c represents the y intercept
To determine the y intercept, we would substitute m = - 0.01, x = 2000, y = 50 into y = mx + c. It becomes
50 = - 0.01 × 2000 + c
50 = - 20 + c
c = 50 + 20 = 70
The equation modelling the situation is
y = - 0.01x + 70
Therefore, if the trend continues, the number of drills that would be sold for $43 is
43 = - 0.01x + 70
0.01x = 70 - 43 = 27
x = 27/0.01
x = 2700
2700 drills would be sold
The half-price would be $63.25.
What I did:
Divide by 2.
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Hope this helped!
Answer:
(x–1)(x²–6x+6)
Explanation:
Given that 1 is a zero, we can use synthetic division to compute the factor.
If 1 is a zero (x–1) is a factor.
Here is the process:
| 1 | 1 -7 12 -6
↓ +(1) +(-6) +(6)
↓ ↓ ↓
1 -6 6 0
→ [1]x² + [-6]x + [6]1 + [0]/x–1 =
x² – 6x + 6.
Therefore the factors are (x–1)(<u>x²–6x+6</u>)