Answer:
x= 0.5
or x= -1.5
Step-by-step explanation:
Let's solve your equation step-by-step.
4x2+4x−3=0
Step 1: Factor left side of equation.
(2x−1)(2x+3)=0
Step 2: Set factors equal to 0.
2x−1=0 or 2x+3=0
x= 1/2 or x= −3/2
We have to start by creating an equation.
Cost of System = x
Cost of games = 3x
Thus x + 3x = $500
Now we find x.
4x = 500,
x = 500/4 = 125
So the system is 125,
The games, 125*3 = 375
Answer:
Well the slope seems rather easy to calculate because you already typed it and it is 2.
First we must solve this equation:
b = y - m*x and we input values into the equation:
b = (3) - (2 * -1)
b = 5
Then, we enter the value of "b" and the slope into this equation:
y = mx +b
y = 2x + 5
Source: https://www.1728.org/distance.htm
(Scroll to the bottom of the page.)
Step-by-step explanation:
Answer:
Step-by-step explanation:
Please use " ^ " to denote exponentiation: f(x) = x^2 + 4x - 21.
This function has a graph which is a parabola that opens up.
Its vertex is found by completing the square:
x² + 4x + 4 - 4 - 21, or
(x + 2)² - 25
Comparing this to the standard equation
(x - h)² + k, we see that h = -2 and k = -25.
Thus, the vertex (and the minimum of this function) is (-2, -25).
Thus, the range is [-25, ∞ ). This being a polynomial function, it has no restrictions on the domain: the domain is (-∞, ∞ )