x + 3y= 4
-2x+ y= -1 (-2x from the other side)
2x+ 6y= 8 (multiply by 2)
-2x+ y= -1
7y =7
y= 1
x+ 3(1)= 4 (you do this to find the y)
x+ 3= 4
x= 1 (-3 from the other side)
x= 1 y=1 (1,1)
Answer: D and A, B and E, C and F
Step-by-step explanation:
Answer:
-4/3
Step-by-step explanation:
let (13,-4) be (x1,y1) respectively
(1,12) be (x2,y2) respectively
From,
slope=(y2 -y1)/(x2-x1)
=(12+4) /(1-3)
=16/-12
=-4/3
Answer:
C
Step-by-step explanation:
The blue line is the one that that slants from lower right to upper left. It has a negative slope as in - 1/2. The line is solid so that means the values of the line are included in the expression.
The area covered is purple, so y is less than the y values of the line. C is the only value that shows the paragraph above.
But we have to check the other inequality just to make sure you are right. y > 2/3 x - 4. The line is not included, so C is your answer.
Answer:
73384 kilotons
Step-by-step explanation:
=> Total amount the 1st year = 90,000
=> Since after the 1st yr, there was a reduction of 4%, so 100% - 4% = 96% or 0.96
=> Total time = 6
We know that the formula of a geometric sequence is;
aₙ = a₁ * r⁽ⁿ⁻¹⁾
In which;
- aₙ = the value that has to be figured out (in this case it would be a₆)
- a₁ = the first term of the sequence (in this case it would be 90,000)
- r = common ration (in this case it would be 0.96)
- n = given time (in this case it would be 6)
Therefore we can finally say;
=> aₙ = a₁ * r⁽ⁿ⁻¹⁾
=> a₆ = 90,000 * 0.96⁶⁻¹
=> a₆ = 90,000 * 0.96⁵
=> a₆ = 73383.54
=> a₆ = 73384 (Rounded to the nearest whole number)
Therefore, rounding the answer to the nearest whole number, the answer would be; 73384 kilotons
Hope this helps! (Btw big shout out to jcherry99 for helping me figure this out!!)