Set 2x=x²-3 to each other.
Subtract 2x from both sides and get the following
x²-3-2x
Rearranging the formula to make factoring easier, we get
x²-2x-3
Factor and you should get the following:
(x-3)(x+1)
set both equal to 0 and solve for x.
x-3=0⇒x=3
x+1=0⇒x=-1
Now plug both of these values back into one of your original equations to get your y-values. It does not matter which equation you plug your xs back into due to the fact they intersect at the same x, and thus will also intersect at the same y.
For times sake,
y=2x
plug in x=3 and get y=6
plug in x=-1 and get y=-2
Ergo, the equations y=2x and y=x²-3 intersect at
(3,6) and (-1,-2)
Answer:
3x+2°=65° (vert opp angles)
3x=65°-2°
=63°
x=63÷3
=21
The answer is C because you can only roll an 8 with a show of 6 when you roll 6 and 1 which gives 7 and 6 and 2 which gives 8
Closed line for the same equation. thanks for using brainly.
answer:
y = 2x - 5
work:
to write equations, we use the format y = mx + b.
m stands for the slope, and b stands for the y intercept.
this means that you should be able to enter the values for y and x and get a valid equation as a result.
in this equation, we are not given a y intercept value, but we do have a slope and x and y values, so we have to solve by substituting.
so, let's substitute in the values of y and x and the slope,
and solve for b, the y intercept.
1 = 2(3) + b (multiply 2 x 3)
1 = 6 + b (subtract 6 from both sides)
- 5 = b
b has a value of -5. let's place this into the equation.
y = 2x - 5.
the slope is 2, and the y intercept is -5, let's plug in our y and x values to verify that this is true.
1 = 2(3) - 5
1 = 6 - 5
1 = 1
so, this equation is correct. hope this helps and have a great day!
