Answer:
See attached graph
Step-by-step explanation:
The equation is y-3=(x + 6)
Write the equation in a slope intercept form, then graph the equation on a graph tool to see the points that line on the line.
Alternatively , using the coordinates in the answer choices given, input them in the equation of the graph and select the answer choice that has all its coordinates true to the equation.
y-3 = x+6 -----can be written as : y= x+9
Graph y= x+9 to see the graph and the points that are on the line as attached.
Answer:
x = 15 or x = - 
Step-by-step explanation:
Cross- multiplying gives
(14x + 6)(17x + 5) = 9x(27x + 11) ( expanding factors )
238x² + 172x + 30 = 243x² + 99x
rearrange into standard form : ax² + bx + c = 0
5x² - 73x - 30 = 0 ← in standard form
consider the factors of the product 5 × - 30 = - 150 which sum to the coefficient of the x-term (- 73 )
the factors are - 75 and + 2
Use these factors to split the middle term
5x² - 75x + 2x - 30 = 0 ( factor by grouping )
5x(x - 15) + 2(x - 15) = 0 ← take out the factor (x - 15)
(x - 15)(5x + 2) = 0
equate each factor to zero and solve for x
x - 15 = 0 ⇒ x = 15
5x + 2 = 0 ⇒ x = - 
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Which is the domain of the function shown in the graph?
A. x ≤ 3
B. -∞ < x < ∞ ( ✔ )
C. x > 0
D. x ≥ 3
The answer to this should be 101!