James can finish a job in 1.5 hours. Jane can finish the same job in one hour. How long will it take them to finish this job if
2 answers:
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a. By the product rule,
b. By the same rule,
and
c. You might recognize the coefficients as those that appear in the expansion of :
1, 1
1, 2, 1
1, 3, 3, 1
1, 4, 6, 4, 1
and so on; the general pattern (known as the general Leibniz rule) is
Answer:
y = - 3x + 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (3, - 4) and (x₂, y₂ ) = (1, 2)
m = =
= - 3, thus
y = - 3x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (1, 2), then
2 = - 3 + c ⇒ c = 2 + 3 = 5
y = - 3x + 5 ← equation of line