Answer:
r=0.5
Step-by-step explanation:
0.125r+0.25r-0.0625=0.25+r
0.375r-0.0625=0.25+r
0.375r-r=0.25+0.0625
-0.625r=0.3125
r=0.3125/0.625
r=0.5
The answer you are looking for is (1, -8)
remember that: x=[(-b/2a)]
and that the problem is set up as y=ax^2+bx+c
calculate:
x=[-8/2(-4)]
x=[-8/-8]
x=1
then:
y=(-4)*1^2+(8*1)-12
y=(-4)+8-12
y=(-4)+8-12
y=4-12
y=(-8)
(1, -8)
Complete question:
Kyle incorrectly says that the product of - ( - 6 ) # ( - 1 ) is 6 . 11. After a recycling awareness program, the number of tons of recyclable material taken to the landfill is reduced by 13 7/10 tons per month. Represent the total change in the tons of recyclable material taken to the landfill after 7 months resulting from the awareness program a. What is the correct product? 10 month. Represent the total change in the b. What was Kyle's likely error?
Answer:
Kindly check explanation
Step-by-step explanation:
Given that :
Kyle incorrectly says that the product of - ( - 6 ) ( - 1 ) is 6
-(-6)(-1) = 6 [incorrect]
Correction:
-(-6) (-1) :
- (-6) = 6
6 (-1) = - 6
Given that reduction in materials = 13 7/10 tons per month
Monthly reduction = 13 7/10 = 137/10 tons
After 7 months : (7 * 137/10) = 959/10 tons = 95.9 tons
Change in amount of material taken to the land fill:
Initial amount - amount after 7 months
If initial amount = x
Change in amonnt = (x - 95.9) tons
Answer: 1) 113.20 yds 2) 75.40 yds 3) 44 yds
*These answers were calculated using the true value of pi, not 3.14*
Hope this helps シ
Answer:
The coordinates of the point P in the directed line segment from (-2,-8) to (5,-1) that partitions the segment into the ratio of 1 to 6 will be:
Step-by-step explanation:
Let P be the point.
As the point P is in the directed line segment from (-2,-8) to (5,-1) into the ratio of 1 to 6
i.e.
(x₁, y₁) = (-2,-8)
(x₂, y₂) = (5,-1)
Rise = y₂ - y₁ = -1 - (-8) = -1 + 8 = 7
Run = x₂ - x₁ = 5 - (-2) = 5 + 2 = 7
1 : 6 ratio means the point P lies at
Thus,
rise for P = 7 × 14% = 1
run for P = 7 × 14% = 1
Thus, coordinates of P will be:
x = -2 + 1 = -1
y = -8 + 1 = -7
Thus,
The coordinates of the point P in the directed line segment from (-2,-8) to (5,-1) that partitions the segment into the ratio of 1 to 6 will be: