Answer:
x = -1 and y = 1/2
Step-by-step explanation:
Let u = 1/x, and v = 1/y
Then the pair of equations
-3/x + 4/y = 11
1/x - 2/y = -5
Can be written as
-3u + 4v = 11 .................................(1)
u - 2v = -5......................................(2)
From (2)
u = 2v - 5 .......................................(3)
Substituting (3) into (1)
-3(2v - 5) + 4v = 11
-6v + 15 + 4v = 11
-6v + 4v = 11 - 15
-2v = -4
v = 4/2 = 2
Substituting this value of v in (3)
u = 2v - 5
u = 2(2) - 5
= 4 - 5
= -1
That is
u = -1, v = 2
Since u = 1/x, and v = 1/y, we have
1/x = -1
=> x = -1
And
1/y = 2
=> y = 1/2
Therefore
x = -1 and y = 1/2
14 - 12 = 2 dollars left over to buy containers. They each got one container each.
8g+10=35+3g You need to find what number g is, just plug in random numbers till both sides are equal
Answer: 7.25%
Step-by-step explanation:
There are a few ways to do this, but the easiest might be to set up a proportion:
321.75/300 = x percent/100 percent
Now cross multiply;
300x = 321.75(100) = 32,175
Divide both sides by 300 to solve for x:
300x/300 = 32,175/300
x = 107.25 This means that the tip was 7.25% on top of the $300 meal.
The equation of the parabola in the vertex form is y = (x - 3
- 5 with ( 3, -5) is the vertex of the parabola and 1 is the multiplier
In the above question, A parabolic equation is given as follows:
Y = x^2 - 6x + 4
The equation of the parabola in the vertex form is :
y = a (x - h + k
Where a is a multiplier in the equation and (h,k) are the coordinates of the vertex
So, in order to obtain this form, we will use the method of completing square :
Y = x^2 - 6x + 4
y = 
- 6x + (9 -9) + 4
y = (x - 3 + ( -9 + 4)
y = (x - 3 - 5
where, ( 3, -5) is the vertex of the parabola and 1 is the multiplier
Hence, The equation of the parabola in the vertex form is y = (x - 3 - 5 with ( 3, -5) is the vertex of the parabola and 1 is the multiplier
To learn more about, parabola, here
brainly.com/question/21685473
#SPJ1
