Answer:
- See attachment for table values
- y₁ = y₂ for x = 6
Step-by-step explanation:
In each case, put the x-value in the formula and do the arithmetic. If you're allowed, you can save some time and effort by realizing that the solution (x) will have to be an even number.
y₁ is an integer value for all integer values of x. y₂ is an integer value for even values of x only. y₁ and y₂ will both be integers (and possibly equal) only when x is even.
For example, for x = 6, we have
... y₁ = 3·6 - 8 = 18 -8 = 10
... y₂ = 0.5·6 +7 = 3 +7 = 10
That is, for x = 6, both columns of the table have the same number (10). That is, y₁ = y₂ for x = 6. The solution to the equation
... y₁ = y₂
is
... x = 6.
Answer:
i think it's 2.2
Step-by-step explanation:
it looks like (5,11) is a point that the line crosses so when you divide 11 by 5, would get 2.2
Answer:
32
Step-by-step explanation:
2/5x80
16x2
32
Hope this helps
Hey there! I'll try to provide you with my best answer.
Answer: x = 120 and y = 150
(x / y) = (4 / 5)
1) 5x = 4y
( (x + 20 ) / (y - 20) ) = (14 / 13)
cross multiply fractions
13(x + 20) = 14(y - 20)
13x + 260 = 14y - 280
2) 13x - 14y = -540
solve equation 1) for x
x = 4y/5
now substitute for x in equation 2)
13(4y/5) - 14y = -540
multiply both sides of = by 5
52y - 70y = -2700
-18y = -2700
y = 150
x = 4(150) / 5 = 120
x = 120 and y = 150
check answers (proof):
120 / 150 = 12 / 15 = 4 / 5
(120+20) / (150-20) = 140 / 130 = 14 / 13