Answer:
(x - 2)(5x + 3) = 0
Step-by-step explanation:
5x² - 7x - 6 = 0
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 5 × - 6 = - 30 and sum = - 7
The factors are - 10 and + 3
Use these factors to split the x- term
5x² - 10x + 3x - 6 = 0 ( factor the first/second and third/fourth terms )
5x(x - 2) + 3(x - 2) = 0 ← factor out (x - 2) from each term
(x - 2)(5x - 3) = 0 ← in factored form
By cross-multiplying, we get
15x + 30 = 24
15x = -6
x = -3 / 5
Answer:
y= 3x -6
Step-by-step explanation:
The equation if a line can be written in the form of y= mx +c, where m is the slope and c is the y- intercept.
Given that the slope is 3, m= 3.
Substitute m= 3 into the equation:
y= 3x +c
To find the value of c, substitute a pair of coordinates into the equation.
Given that it has an x- intercept of -2, the line passes through the point (-2, 0). This is because x- intercept is the point at which the line passes through the x- axis, and this occurs at y= 0.
When x= -2, y= 0,
0= 3(-2) -c
0= -6 -c <em>(</em><em>expand)</em>
c= -6 <em> </em><em>(</em><em>+</em><em>c </em><em>on </em><em>both </em><em>sides)</em>
Thus, the equation of the line is y= 3x -6.
The answer is b. The equivalent of -7/8 is 7/-8.
