Answer:
A. 96
Step-by-step explanation:
The standard form:

The slope-intercept form:

m - slope

b - y-intercept (0, b).
We have the point (0, 43) → b= 43.
Next point (2, 55). Substitute to the slope formula:

Therefore we have:
<em>subtract 6x from both sides</em>

Answer:
Option 2: (1,0) is the correct answer
Step-by-step explanation:
Given inequality is:
y>-5x+3
In order to find which point is solution to the given inequality we'll put the point one by one in the inequality. If the point satisfies the inequality, then the point is the solution of the inequality.
Putting (0,3) in inequality

Putting (1,0) in inequality

Putting (-3,1) in inequality

Putting (-1,-2) in inequality

The inequality is true for (1,0)
Hence,
Option 2: (1,0) is the correct answer
Answer:
2x(x + 3)(2x - 1)
Step-by-step explanation:
Given
4x³ + 10x² - 6x ← factor out 2x from each term
= 2x(2x² + 5x - 3) ← factor the quadratic
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 2 × - 3 = - 6 and sum = + 5
The factors are + 6 and - 1
Use these factors to split the x- term
2x² + 6x - x - 3 ( factor the first/second and third/fourth terms )
= 2x(x + 3) - 1(x + 3) ← factor out (x + 3) from each term
= (x + 3)(2x - 1)
Thus
4x³ + 10x² - 6x = 2x(x + 3)(2x - 1) ← in factored form