Answer:
The answer is y=3x+2
Step-by-step explanation:
y-y=m(x-x¹)
y-5=3(x-1)
y-5=3x-3
+5 +5
y=3x+2
Answer:
So the Point of intersection is (-4,-2)
Which is option A
Step-by-step explanation:
The given system of equations is
-0.1x - 0.8y = 2 ...................(i)
0.6x - 0.5y = -1.4 ...................(ii)
Let us take equation (i) and use method of substitution for solving it
the equation (i) is
-0.1 x - 0.8y = 2
Adding 0.8y on both sides
-0.1 x + 0.8 y - 0.8 y = 2 + 0.8 y
-0.1 x = 2 + 0.8 y
Dividing both sides -0.1

x = -8 y - 20 ..........................(iii)
Now we will use this value and put it into equation (ii) to find the value of y
Equation (ii) is
0.6 x - 0.5 y = -1.4
Put value of x
0.6(-8 y - 20) - 0.5 y =-1.4
It becomes
-4.8 y - 12 - 0.5 y = -1.4
adding 12 on both sides
-4.8 y - 0.5 y - 12 + 12 = -1.4 + 12
it becomes by solving
-5.3 y = 10.6
Dividing both sides by -5.3

So
y = -2
Now we have the value of y putting it in equation (iii)
Equation (iii) is
x = -8 y - 20
Putting value of y
x = -8*(-2) - 20
x = 16-20
x=-4
So the Point of intersection is (-4,-2)
Answer:
The numbers are 7, 4 and 1
Step-by-step explanation:
Let the numbers =x, y, z.
The sum of all three numbers is 12, x+y+z=12--------i
The sum of twice the first number, 4 times the second number, and 5 times the third number is 35, 2x+4y+5z=35-------ii
The difference between 8 times the first number and the second number is 52, 8x-y=52---------iii
Now, from (i),z =1-x-y--------iv
substitute (iv) in (ii),
2x+4y+5(12-x-y)=35
2x+4y+60-5x-5y=35
collect like terms
-3x-y=-25
that is, 3x-y=25--------v
solving (iii) and (v) simultaneously (add iii and v), we have
11x=77
divide both sides by 11 to obtain x=7
Put x=7 in (v)
3(7)+y=25
21+y=25
implies y=25-21=4
put x=7 and y=4 in (iv)
z=12-7-4=1
Hence, the numbers are 7, 4 and 1.
When functions are defined by more then one equation, they are called piecewise defined functions
Answer:
50% duhh
Step-by-step explanation:
25% is also a equation