The volume of a box(V) varies directly with its length(l). If one of the boxes has a volume of 325 cubic inches and a length of
2 answers:
<u>Answer:</u> 25
<u>Step-by-step explanation:</u>
We know that if y (dependent variable) varies directly with x(Independent variable) then the equation for direct variation is given by :-
, where k is the proportionality constant.
Since, it is given that the volume ( dependent variable ) of a box(V) varies directly with its length(l) (independent variable) , then the equation will be
, where k is the proportionality constant.
If one of the boxes has a volume of 325 cubic inches and a length of 13 inches, then
Hence, the constant of proportionality for the group of boxes = 25
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Answer:
x ≈ 1.32, x ≈ - 5.32
Step-by-step explanation:
Given
x² + 4x - 7 = 0 ( add 7 to both sides )
x² + 4x = 7
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(2)x + 4 = 7 + 4
(x + 2)² = 11 ( take the square root of both sides )
x + 2 = ± ( subtract 2 from both sides )
x = - 2 ±
Thus
x = - 2 - ≈ - 5.32 ( to 2 dec. places )
x = - 2 + ≈ 1.32 ( to 2 dec. places )
If the population quadruples every period say hour, that means the "rate of growth" is 300%, so whatever the current amount, increased by 3 times as much is 4 times the current amount, or a quadrupled amount.
Answer:
(8, -22)
Step-by-step explanation:
The tables each contain four (x,y) points of a straight line. You can see that for every increase of x by 2, y decreases by 8 in the first one (observe 26, 18, 10 2), and decreases by 6 in the second.
If you continue the table with x=4, 6 and 8, you get y=-22 in both cases for x=8. That is the intersection, so the solution is (8,-22).
Added a graph. The equations are y=10-4x and y=2-3x respectively. Hope you understand a bit of this (brief) explanation.
