Answer: a
Step-by-step explanation:
g(x) is basically transformed f(x). First, let's focus on f(x) graph. Notice how the graph has slope of 1 and intersect y-axis at (0,0).
Which means that our equation for f(x) is:
Now then we focus on g(x). g(x) is f(x+k). That means if f(x) = x then f(x+k) would mean substitute x = x+k in the equation.
Next, we want to find the value of k. In the slope-intercept form or y = mx+b where m = slope and b = y-intercept. Notice the g(x) graph and see that the graph intersects y-axis at (0,4). Therefore k = y-intercept = 4.
Answer
- g(x) = x+4
- Therefore the value of k is 4.
<span>(2) y is the total cost, x is the number of months of service, $40 is the installation fee, and $90 is the service charge per month.</span>
y = 40 + 90x
y = total cost
x = number of months of service
40 = one time installation fee
90 = monthly service charge.
Let us assume that the number of months of service is 10 months. then, the total cost would be:
y = 40 + 90(10)
y = 40 + 900
y = 940
A cube is a 3d object bounded by 6 square faces.
Each side of the display case is 3 times longer than the width of the artifact.
width of the artifact = w
side of the cube = 3w
<span>a. Write an expression for the volume of the case.
volume of a cube is the measure of its side raised to the power of 3.
Volume = (3w)</span>³
<span>Volume = 27w</span>³<span>
</span>
Answer:
The remainder is 5
Step-by-step explanation:
12 Divided by 7 equals 12 over 7 or 1.714285. 7 can only go into 12, one time. if we subtract 7 from 12 we get 5 which is the remainder. There is no way it can be 2 because 7 plus 2 equals 9. 1 x 7 + 5 equals 12 which isn't 1.714285. 2 x 7 + 4 equals 18 which also isn't 1.714285. Same with 2 x 5 + 5. That equals 15 which isn't 1.714285.
