Answer:
,
Step-by-step explanation:
One is asked to find the root of the following equation:
Manipulate the equation such that it conforms to the standard form of a quadratic equation. The standard quadratic equation in the general format is as follows:
Change the given equation using inverse operations,
The quadratic formula is a method that can be used to find the roots of a quadratic equation. Graphically speaking, the roots of a quadratic equation are where the graph of the quadratic equation intersects the x-axis. The quadratic formula uses the coefficients of the terms in the quadratic equation to find the values at which the graph of the equation intersects the x-axis. The quadratic formula, in the general format, is as follows:
Please note that the terms used in the general equation of the quadratic formula correspond to the coefficients of the terms in the general format of the quadratic equation. Substitute the coefficients of the terms in the given problem into the quadratic formula,
Simplify,
Rewrite,
,
Let the two numbers be x and y
then x+y=9
x-y=3
2x=12
x=6
6+y=9
y=3
so the numbers are 9 and 3
Answer:
She will have 9 feet of tomatoes left.
Step-by-step explanation:
12ft - 3ft = 9ft
Answer:
1) Slope: 3; y-intercept: -7
2) Slope: 2/3; y-intercept: 1
Step-by-step explanation:
y = mx + b; m is slope and b is y-intercept
1. y = 3x - 7
The equation is already in slope-intercept form, so you can find the slope and intercept.
Slope: 3
y-intercept: -7
2. y - 1 = 2/3x
For this one, you have to convert this into slope-intercept form (solving for y)
y - 1 = 2/3x
Add 1 to both sides
y - 1 + 1 = 2/3x + 1
y = 2/3x + 1
Now that the equation is in slope-intercept form, you can get the slope and y-intercept.
Slope: 2/3
y-intercept: 1