Answer:
-7
Step-by-step explanation:
6r+3=4r-11
distributive property
6r-4r=-11-3
2r=-14
r=-7
Answer:
3(x + 2)(2x - 5)
Step-by-step explanation:
Given
6x² - 3x - 30 ← factor out 3 from each term
= 3(2x² - x - 10) ← 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 × - 10 = - 20 and sum = - 1
The factors are + 4 and - 5
Use these factors to split the x- term
2x² + 4x - 5x - 10 ( factor the first/second and third/fourth terms )
= 2x(x + 2) - 5(x + 2) ← factor out (x + 2) from each term
= (x + 2)(2x - 5), thus
2x² - x - 10 = (x + 2)(2x - 5) and
6x² - 3x - 30
= 3(x + 2)(2x - 5) ← in factored form
Plug it into point-slope form.
y - y1 = m(x - x1)
Where y1 is the y-value of the point, x1 is the x-value, and 'm' is the slope.
So plug in -1 for x1, 2 for y1, and 0.9 for 'm':
y - 2 = 0.9(x + 1)
Simplify to get in slope-intercept form:
Distribute 0.9 into the parenthesis:
y - 2 = 0.9x + 0.9
Add 2 to both sides:
y = 0.9x + 2.9
83-63=20
So your answer is 20
