Answer:
x-intercept - x = 1/2y - 3.15
y-intercept - y = 2x + 6.3
Step-by-step explanation:
For x,
-6x + 3y = 18.9
-6x = -3y + 18.9
x = -3y/-6 + 18.9/-6
x = 1/2y - 3.15
For y,
-6x + 3y = 18.9
3y = 6x + 18.9
y = 6x/3 + 18.9/3
y = 2x + 6.3
Step-by-step explanation:
as we have a point and the slope, we can start with the point-slope form and then transform.
the point-slope form is
y - y1 = a(x - x1)
(x1, y1) being a point on the line, a being the slope.
the slope-interceot form is
y = ax + b
a being the slope again, b being the y-intercept (the y value for x = 0).
so, we have
y - -5 = 5/2 × (x - -4)
y + 5 = 5/2 × (x + 4) = 5x/2 + 5×4/2 = 5x/2 + 10
y = 5x/2 + 5
or
y = (5/2)x + 5
and this is already the slope-intercept form. all done.
Least common multiple: factor them, then see what they have in common and what is leftover and multiply those expressions:
(x - 2)(x + 3) 10(x + 3)(x + 3)
Common: (x + 3)
Leftover: (x - 2), (10), (x + 3)
Common · Leftover is: (x + 3) · (x - 2) · (10) · (x + 3) = 10(x - 2)(x + 3)²
Answer: LCM is 10(x - 2)(x + 3)²
Answer:
180 eggs is the correct amount.
