Answer:
C. 244
Step-by-step explanation:
It costs 79 dollars a month = 79x
It costs 0.15 dollars for every text message over 1000 = 0.15y
The equation is:
79x + 0.15y = z
X = months
Y = Each text message over 1000
Z = the total amount spent
Let's plug in our values
79(1) + 0.15(1100) = z
79 * 1 = 79
0.15 * 1100 = 165
79 + 165 = z
79 + 165 = 244
z = 244
C. 244
Answer:2. Both the populations of the Candy Kingdom and the Fire Kingdom are in decline; their populations
since 2010 are given by the functions below:
Cit) 1000 - 500
F(t) = 2500 - 1000
Will their populations ever be equal? If so, when will that happen and what will that population be?
Otherwise, briefly explain why their populations will never be equal.
Step-by-step explanation:
Answer: See below
Step-by-step explanation:
a) There is a correlation between the number of employees in the plant and the number of products produced yearly. Specifically, a positive correlation exists because, as we can see on the table, as the number of employees increases, the number of products also increases. And the rate of increase is constant.
b) Let the function be: y = mx + b
When x = 0; y = 120
So:
120 = 0 + c
c = 120
Now the slope:

Therefore, the equation that best fits the data is y = 8x + 120
c) The slope in the function represents the constant rate of change, meaning that as the number of employees increases by 1, the number of products produced monthly increases by 20. While the y-intercept of the plot, which is 120, indicates the constant number of products, that is to say, when there are no employees, there are still 120 products.
Answer:
(4x - 3)(3x² + 1)
Step-by-step explanation:
Given
12x³ - 9x² + 4x - 3 ( factor the first/second and third/fourth terms )
= 3x²(4x - 3) + 1(4x - 3) ← factor out (4x - 3) from each term
= (4x - 3)(3x² + 1) ← in factored form
Y=mx+b
so is 2
the last number of the equation