Answer:
y = 5x + 3
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 )
To calculate m use the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (1, 8)
m = 
= 5
Note the line crosses the y- axis at (0, 3) ⇒ c = 3
y = 5x + 3 ← equation in slope- intercept form
F(x) = 1/(x+2) & g(x) = x/(x-3)
(f(x) + g(x) = 1/(x+2) + x/(x-3). Reduce to same denominator:
1/(x+2) + x/(x-3) =(x-3) + x(x-3)/(x+2).(x-3) ==> (x²+3x-3)/(x+2).(x-3)
The answer is x=3. Work shown in the photo above!
Answer:
167.19
14.50 x 8 = 116.00
14.50 + 1.75 = 16.25 per hour overtime
16.25 × 3.15 hour overtime = 51.19
116.00 + 51.19 = 167.19
Step-by-step explanation:
Answer:
Slope (m) = infinity
Step-by-step explanation:
Given points:
⇒ (9, 2) and (9, 27)
In order to find the <em>slope</em> of these points, we must use the <em>slope</em> formula.
So the formula is ⇒ y₂ - y₁ / x₂ - x₁
<em>Plug</em> in the<em> given </em>points:
⇒ 27 - 2 / 9 - 9
Solve both the top and bottom (<em>numerator and denominator</em>):
⇒ 25 / 0
Divide:
⇒<em> Undefined. </em>
(<em>Anything</em><em> </em>divided by <em>zero</em> is undefined).
