Answer:
y = 6x - 13
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 ) = (2, - 1) and (x₂, y₂ ) = (1, - 7)
m = =
= 6, thus
y = 6x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (1, - 7), then
- 7 = 6 + c ⇒ c = - 7 - 6 = - 13
y = 6x - 13 ← equation of line
Answer:
A) 5.18%
Step-by-step explanation:
Answer:
Step-by-step explanation:
The expression to transform is:
Let's work first on the inside of the parenthesis.
Recall that the n-root of an expression can be written as a fractional exponent of the expression as follows:
Therefore
Now let's replace with
which is the algebraic form we are given inside the 6th root:
Now use the property that tells us how to proceed when we have "exponent of an exponent":
Therefore we get:
Finally remember that this expression was raised to the power 7, therefore:
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An use again the property for the exponent of a exponent: