Answer:
The second graph is correct for this function.
Step-by-step explanation:
The company made combined profits of $40 million after 4 years. The profits increased $30 million per year.
Therefore the rate of change of profit function is 30 and the graph of profit function passing through the point (4,40).
Point slope of a linear function is



Add 40 both sides.

Therefore the profit function is defined as

Put x=0


Therefore y-intercept of function is -80. So, second graph is correct for this function.
Y-intercept of first graph is positive and y-intercept of third and fourth graph are more that -50, therefore option 1, 3 and 4 are incorrect.
Answer:
C+11/c+9
Step-by-step explanation:
3c+33/3c+18 = c+11 / c+6
C^2+17c +66 = (c+6)(c+11)
C^2 +20c+99 = (c+11)(c+9)
So the given question becomes
{C+11/c+6} {(c+6)(c+11)/(c+11)(c+9)}
= c+11 /c+9
Answer:
Is it 75
Step-by-step explanation:
I got k ≥ -7. Hope this helps!
The equation for which square method is possible is x²-8=1
Step-by-step explanation:
For checking which of the equation satisfies the complete square condition, we proceed by checking each of the available options
1). x²+20x=52
Rewriting it as x²+20x-52
This binomial expression is not a perfect square since the product of the coefficient of x²(i.e. 1) and independent constant (i.e. 52) is not a perfect square.
2). 5x² + 3x = 9
This equation can be rearranged as 5x²+3x-9=0
This binomial expression is not a perfect square since the product of the coefficient of x²(i.e. 5) and independent constant(i.e. 9) is not a perfect square.
3.) x² −8=1
This equation can be rearranged as x²=9
Hence x= ±3
This binomial expression is a perfect square and can be done by the square method.
4). 3x² −x+17=0
This binomial expression is not a perfect square since the product of the coefficient of x²(i.e. 3) and independent constant(i.e. 17) is not a perfect square.