Answer:
They have the same slope
Step-by-step explanation:
The standard equation of a line in point-slope form is expressed as;
y-y0 = m(x-x0)
We can see that both equations given are written in this form with a slope of 1.2. For two lines to be equal, they must have the same slope no matter the point on the lines. Hence the two equations are equal since they have different slopes.
X= assistant's wage
x+15= instructor's wage
Add their wages set equal to $65
x + (x + 15)= 65
combine like terms
2x + 15= 65
subtract 15 from both sides
2x= 50
divide both sides by 2
x= $25 assistant's wage
x+15= 25 + 15= $40 instructor's wage
ANSWER: (C) $25 hourly wage of assistant
Hope this helps! :)
Answer:
- x² - 8x + 12
- x³ + 2x² - 15x - 36
- x³ -2x² - 15x
Step-by-step explanation:
#1) Find the polynomial with roots at 2 and 6
-
(x -2)(x - 6) = x² - 8x + 12
#2) Find the polynomial with a double root at -3 and another root at 4
-
(x+3)(x+3)(x-4) = (x²+6x+9)(x-4) = x³ + 2x² - 15x - 36
#3) Find the polynomial with roots 0, -3 and 5
- (x -0)(x+3)(x-5) = x(x²-2x - 15) = x³ -2x² - 15x
X^2 + 8x + 16 is the answer
