Answer:
<em>B. The graph of g is the graph of f shifted 2 units down</em>
Step-by-step explanation:
<u>Graph of Functions</u>
We have two functions:
f(x)=3^x
g(x)=3^x-2
Since g(x)=f(x)-2 it will be represented as an identical graph as that for f(x), but vertically displaced 2 units down. Let's check it by plugging some points
f(0)=3^0=1
g(0)=3^0-2=-1
f(1)=3^1=3
g(1)=3^1-2=1
f(3)=3^3=27
g(3)=3^3-2=25
We can notice the values of g(x) are always 2 units below f(x), thus the correct answer is
B. The graph of g is the graph of f shifted 2 units down
The y intercept is 3
You can also say that the y intercept is at (0,3) which is a more detailed answer. However saying "y intercept is 3" is sufficient enough because the x coordinate of the y intercept is always x = 0.
The y intercept is the location where the graph crosses or touches the y axis. This is at the halfway point between the 2 and 4, so (2+4)/2 = 6/2 = 3
There are 36 inches in a yard so 36*2.54 = 91.44 centimeters
Answer:
L(x) = 11 - 2x
W(x) = 8.5 - 2x
V(x) = 4x³ - 39x² + 93.5x
Step-by-step explanation:
If a square of x sides length is cut from each corner of the sheet, then it meas the length and width of the box a shortened by x inces from each side, giving a total subtraction of 2 times x inches.
FORMULA FOR LENGTH:
Since, Length is the bigger side of the box. Therefore, it will be taken on 11 inches side of the paper:
<u>L(x) = 11 - 2x</u>
FORMULA FOR WIDTH:
Since, width is the smaller side of the box. Therefore, it will be taken on 8.5 inches side of the paper:
<u>W(x) = 8.5 - 2x </u>
FORMULA FOR VOLUME:
Volume is the product of length, width and time:
V(x) = L(x)*W(x)*H(x)
Height must be equal to the side folds which are equal to length of the side of square = x:
H(x) = x
Therefore,
V(x) = (11 - 2x)(8.5 - 2x)(x)
V(x) = (93.5 -22x -17x + 4x²)(x)
<u>V(x) = 4x³ - 39x² + 93.5x</u>
Answer:
1,757,600
Step-by-step explanation:
26x26x26x10x10 = 1,757,600
