Answer:
x=1 and y=7
Step-by-step explanation:
7x−2y=−7;y=7
Rewrite equations:
y=7;7x−2y=−7
Step: Solve y = 7 for y:
y=7
Steps: Substitute 7 for y in 7x−2y=−7:
7x−2y=−7
7x+(−2)(7)=−7
7x−14=−7 (Simplify both sides of the equation)
7x−14+14=−7+14 (Add 14 to both sides)
7x=7
7x/7 = 7/7 (Divide both sides by 7)
x = 1
So the answer is, x=1 and y=7
Answer:
the graph of f(x) is {5 - (-2)) units, or 7 units, higher than that of g(x)
Step-by-step explanation:
The vertex form of a quadratic equation is y = a(x - h)^2 + k. (h, k) represents the vertex.
Comparing the given f(x) = -3(x-1)^2 to the above general form, we see that h = 1 and k = 2.
Comparing the given g(x) = -3(x-1)^2 to the above general form, we see that h = 1 and k = -5.
Thus, the x-coordinates of the vertex in both cases are the same: 1. The y-coordinates differ: for f(x), k = 2. and for g(x), k = -5.
Changing the k value translates the graph up or down.
In this case we see that the graph of f(x) is {5 - (-2)) units, or 7 units, higher than that of g(x).
The answer is C- 407.0652
Answer:
A. One solution
Step-by-step explanation:
To find out, we solve the equation.
6 - 3x = 12 - 6x
Add 6x to both sides. Subtract 6 from both sides.
3x = 6
Divide both sides by 3.
x = 2
Answer: A. One solution
Answer:
c = -6
Step-by-step explanation:
To find the value of c to make the line pass through the point K = (2, -3), we just need to use the values of x = 2 and y = -3 in the equation, then we find the value of c.
So, we have that:
y - 1.5*x = c
(-3) - 1.5 * (2) = c
-3 - 3 = c
c = -6
So the value of c is -6
To check if the value is correct, we can use the value x = 2 and see if the value of y is -3:
y - 1.5*x = -6
y - 1.5*2 = -6
y - 3 = -6
y = -6 + 3 = -3
So it's correct.