2y = 2x + 12
y = -2x - 3
You have the value of y in the second equation
So you can substitute it in the first equation and find the value of x
2(-2x - 3) = 2x + 12
2(-2x) - 2(3) = 2x + 12
-4x - 6 = 2x = 12
You can add 6 to both sides and subtract 2x from both sides to find x
-4x - 6 + 6 = 2x + 12 + 6
-4x = 2x + 18
-4x - 2x = 2x - 2x + 18
-6x = 18
Divide both sides by -6
x = -3
Substitute x in equation (2) to find y
y = -2(-3) -3
y = 3
The solution is (-3, 3)
Answer:
x^3-x^2-13x+4
Step-by-step explanation:
Answer:
11 25/64 in ^3
Step-by-step explanation:
Volume of a cube is given by
V = s^3
s = 2 1/4 = 9/4
V = (9/4) ^3
= 729/64
=11 25/64 in ^3
Answer:
Q(-2,-7)
See attachment
Step-by-step explanation:
We need to form a simultaneous equation and solve.
The point P has coordinates (1,8). Let the other point Q also have coordinate (x,y).
Then the average rate of change is the slope of the secant line connecting P(1,8) and Q(x,y) and this has a value of 5.
This point Q also lies on the given parabola whose equation is
Put equation (1) into (2) to get:
When x=-2, y=5(-2)-3=-7
Therefore the required point is Q(-2,-7)
ANSWER
The correct answers are option B and C
<u>EXPLANATION</u>
A linear function with slope and y - intercept has equation,
Option A
Therefore
Option B
Therefore
Option C
Therefore
on See graph also.
Option D
At y-intercept,
This implies that,
Therefore g(x) does not have a greater y-intercept.