9514 1404 393
Answer:
f(g(x)) = -3x^2 -2x -3
Step-by-step explanation:
<u>Given</u>:
f(x) = -x-7
g(x) = 3x^2 +2x -4
<u>Find</u>:
f(g(x))
<u>Solution</u>:
Substitute per the function definitions.
f(g(x)) = f(3x^2 +2x -4) = -(3x^2 +2x -4) -7
f(g(x)) = -3x^2 -2x -3
To solve this problem, we are going to use a scientific/mathematics strategy called Dimensional Analysis.
40 miles / 1 hour * 5280 feet / 1 mile = 211200 feet / 1 hour
211200 feet / 1 hour * 1 hour / 60 minutes = 3520 feet/ 1 minute
3520 feet / 1 minute * 1 minute / 60 seconds = approximately 59 feet / 1 second
Jackrabbits travel approximately 59 feet per second, when rounded to the nearest whole number.
Answer:
132 square millimeters
Step-by-step explanation:
THe <u>lateral area</u> of a rectangular prism is the side areas. That is
all 4 sides of the rectangular prism (that are rectangles each).
So, we find each side area and add them up.
The area of a rectangle is:
Area = length * width
The left side (in gray) is 9 mm x 3mm, so area:
area = 9 * 3 = 27
The right side rectangle is same, so that would have an area of:
area = 9 * 3 = 27
Now, the front side's measurement is 3 x 13, so the area is:
Area = 3 * 13 = 39
THe back is same, so the area would be:
Area = 3 * 13 = 39
<u>Total Surface Area = 27 + 27 + 39 + 39 = 132 square millimeters</u>
Answer:
12 feet
Step-by-step explanation:
Your answer is the matrix with the top row of -8 20 0 and bottom row of
4 32 -4
