Answer:
y=0
Step-by-step explanation:
The equation for the slope is
m = ( y2-y1)/(x2-x1)
-2 = (4-y)/(1-3)
-2 = (4-y)/-2
Multiply each side by -2
4 = 4-y
Subtract 4 from each side
4-4 = 4-y-4
0 = -y
0=y
Answer:
1200 children and 1500 Adults
Step-by-step explanation:
Suppose x be the children and y be the adults as total people are 2700 that have entered so we can write an equation as
x+y=2700 (Equation 1)
and as per child $1.50 is the cost and $4 for every adult and collectively we have got $7800 so we can write the equation as
1.50x+4y=7800 (Equation 2)
Extracting the value of y from equation 1
Y=2700-x (Equation 3)
Putting the value of y from equation 3 into equation 2
1.50x+4(2700-x)=7800
1.50x+10800-4x=7800
1.50x-4x=7800-10800
-2.5x=-3000
Cancellation of negative signs on both sides
x=3000/2.5
x=1200
Putting the value of x in equation 3 to get the value of y
y=2700-1200
y=1500
Answer:
Cos ∅ = 3/5
BUT COSINE IS NEGATIVE IN THE SECOND QUADRANT.
Thus cos∅= -3/5
Answer:
x = 2, y= 3
Step-by-step explanation:
y = -2x+7
y = 5x-7
Since the equations are both equal to y, set them equal to each other
-2x+7 = 5x-7
Add 2x to each side
-2x+7 +2x= 5x+2x-7
7 = 7x -7
Add 7 to each side
7+7 = 7x
14 = 7x
Divide by 7
14/7 = 7x/7
2 = x
Now find y
y = 5x-7
y = 5*2 -7
y = 10-7
y =3
Well you are given the roots.
if we have 3 it would.have to be x^3. So something like:
y = ax^3 + bx^2 + cx + d
this could.also be written:
y = (x + a) (x + b) (x + c)
when you are able to write it like this, we know that the opposite of a, b, and c are roots. this is because if we can make any of the insides of the 3 parenthesis equal 0 then y = 0 and that x.is a root. Well if we know the 3 roots that x will be then we just have to figure out the a, b, and c. So let's plug our roots in.
y = (-1 + a) (-5 + b) (-3 + c)
now we have to make each parenthesis equal 0 to find what a, b, and c should be. It is obvious a = 1 to make.that one zero and b = 5 and c = 3. So we know a, b, and c. now let's plug.those into our first equation.
y = (x + 1) (x + 5) (x + 3)
this is your equation. You can multiply out if necessary
