Answer:
B.) 990
Step-by-step explanation:
Here's another way of looking at it.
Make an equation representing the graph.
y = mx + b
to find m (slope) I used points (1,30) and (4,150) to get 40 as the slope.
y = 40x + b
to solve for b (y-intercept) I plugged in any point that I wanted in the corresponding place in the equation.
using (4,150)
150 = 40 (4) + b
using PEMDAS you find that b = -10
Then plug and chug to find the number of stamps for the 25th term.
y = 40(25) + -10 or y = 40(25) - 10
y = 990
Cable boxes: $3.49 per cable box
HD Service: $9.99 per cable box
DVR: $14.99 per cable box
Installation Fee: $120.00 (one-time fee)
The total cost for 12 months of cable service with b cable boxes is represented by the expression below.
$551.88 + $341.64b
Which statement best describes the coefficient of "B"?
A. It is the cost for basic cable for one month and the installation fee.
B. It is the cost for basic cable for one year and the installation fee.
C. It is the cost for one cable box with DVR and HD service for one month.
D. It is the cost for one cable box with DVR and HD service for one year.
5x – 7y = 10
If f(x) = (x + 7)^2, which of the following is g(x) based on the translation?
g(x) = (x + 5^)2
g(x) = (x − 5)^2
g(x) = (x − 9)^2
g(x) = (x + 9)^2
Answer:
The equation for g(x) is:
g(x)=(x+5)^2
Step-by-step explanation:
We are given the information about the graph of the function f(x) and g(x) as:
graph of function f of x open upward and has its vertex at (-7,0).
Graph of function g of x opens upward and has its vertex at (-5,0).
If f(x) = (x + 7)^2; which is a parabola with vertex at (-7,0).
Also as g(x) is formed by the translation of the function f(x) so it will also be a quadratic function such that it's vertex is (-5,0).
so, the equation of g(x) will be:
g(x)=(x+5)^2.
Hence, the translation is a shift of the function f(x) 2 units to the right.