Get the x terms by themselves on one side and a constant on the other side of the equal sign...
4x^2-8x=1 make the leading coefficient equal to one...
x^2-2x=1/4 now halve the linear coefficient, -2 in this case, square it, and add that value to both sides of the equation...-2/2=-1, -1^2=1 so
x^2-2x+1=1+1/4
x^2-2x+1=5/4 now the left side is a perfect square...
(x-1)^2=5/4 take the square root of both sides...
x-1=±√(5/4) add 1 to both sides
x=1±√(5/4)
25% = 25/100 = 0.25
9*0.25 = 2.25.
You save $2.25 with the discount.
So to label the axes the number of people would be on the left and number of forks on the bottom. choosing your scale means how you would choose to count. the independent variable is the forks and dependent is the people. For the scale I would count by 2s for the x-axis and 1s for the y-axis.
Answer: The value of x is 7
Step-by-step explanation:
Factors are (3x + 5) and (x - 2). Zeros are -5/3 and 2.
Step-by-step explanation:
- Step 1: Given quadratic equation 3x² - x = 10 ⇒ 3x² - x - 10 = 0
- Step 2: Use factoring method (product and sum rule) to find factors and zeros. So the equation can be written as below.
⇒ 3x² - 6x + 5x - 10 = 0
⇒ 3x(x - 2) + 5(x - 2) = 0
⇒ (3x + 5)(x - 2) = 0 These are the factors of the equation.
- Step 3: Find zeros by equating the factors to 0.
⇒ 3x + 5 = 0 and x - 2 = 0
⇒ x = -5/3 and 2
