Answer:

Step-by-step explanation:
So we have the equation:

First, let's determine the domain restrictions. Recall that the radicand cannot be negative. In other words, it must be greater than or positive than 0. Thus:

Subtract 6 from both sides:

What this means is that our solutions must be greater than or equal to -6. If not, we ignore them.
So, let's subtract 5 from both sides from the original equation:

Square both sides:

Subtract 6 from both sides:

138 is greater than -6, so 138 is a solution and is the only solution.
And we're done!
Answer:
(0, 3 )
Step-by-step explanation:
To find the y- intercept , substitute x = 0 into f(x), that is
f(0) = 3 ×
[ note
= 1 ]
= 3 × 1
= 3
y- intercept = (0, 3 )
Answer:
b = - 21
Step-by-step explanation:
calculate m using the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (- 4, - 5) and (x₂, y₂ ) = (- 6, 3)
m =
=
= - 4
y = - 4x + b ← is the partial equation
to find b substitute either of the 2 given points into the partial equation
using (- 4, - 5 ), then
- 5 = 16 + b ⇒ b = - 5 - 16 = - 21
Answer:
fx
Step-by-step explanation:
Answer:
m = -11/7
Step-by-step explanation:
change equation into slope-intercept form:
7y = -11x + 2
y = -
x + 2/7
slope is the coefficient of the 'x' term