Use FOIL and simply, First times First, Outside times Outside, Inside times Inside, Last times Last.
(3x+5)(4x-1)
3x * 4x = 12x²
3x * -1 = -3x
5 * 4x = 20x
5 * -1 = -5
12x² - 3x + 20x - 5
Now simplify by adding -3x to 20x and get:
12x² + 17x - 5
No solution<span> would mean that there is </span>no<span> answer to the equation. It is impossible for the equation to be true </span>no<span> matter what value we assign to the variable. Infinite</span>solutions<span> would mean that any value for the variable would make the equation true.</span>No Solution<span> Equations.
</span>In other words, it "discriminates" between the possible solutions<span>. The discriminant is the expression found under the square root part of the quadratic formula (that is, . The value of tells how many </span>solutions<span>, roots, or x-intercepts the quadratic equation will have. If , there are two </span>real solutions<span>.</span>
Answer: 829.44 ft²
Step-by-step explanation:
Correction - The walkway is 31.2 feet wide.
To solve this, first find the area of the fountain:
Area of a square = Length * Width
= 12 * 12
= 144 ft²
The find the area of the walkway including the fountain:
= 31.2 * 31.2
= 973.44 ft²
To find the area of the walkway alone, subtract the area of the square from the area of the rectangle:
= 973.44 - 144
= 829.44 ft²
Answer:
D. 6√3.
Step-by-step explanation:
x^2 = 108
x = +/- √108
x = +/- √36 * √3
x = +/- 6√3
Plotting the data to get the line of best fit, it is:
y<span> = 0.087</span>x<span> + 0.587
substitute x=2030-1980=50,
y = $4.94 is the price in 2030</span>
