Answer:
Part 1)
Part 2)
Part 3)
Part 4)
Part 5)
Part 6)
Step-by-step explanation:
we know that
The function in the orange table is equal to
so
step 1
Find the value of a
The value of a is the value of the function f(x) for
Substitute the value of in the function
therefore
step 2
Find the value of b
The value of b is the value of the function f(x) for
Substitute the value of in the function
therefore
step 3
Find the value of c
The value of a is the value of the function f(x) for
Substitute the value of in the function
therefore
The function in the blue table is equal to
so
step 4
Find the value of d
The value of d is the value of the function g(x) for
Substitute the value of in the function
therefore
step 5
Find the value of e
The value of e is the value of the function g(x) for
Substitute the value of in the function
therefore
step 6
Find the value of f
The value of f is the value of the function g(x) for
Substitute the value of in the function
therefore
12.50 espero que te sirva :)
Step-by-step explanation:
we have two lines you have to draw.
one is all in the bottom left quadrant (for x<=0) and one in the upper right quadrant (for x>5).
the easiest is for x>5. the line function is only
f(x) = y = 3
so, this is a horizontal line on the grid line for y = 3. it starts above x=5 and then goes all the way to the right ("to infinity and beyond !"). just, if possible, mark the starting point at x=5 as a little empty "circle" instead of a full dot, as x=5 is explicitly excluded (due to x>5).
and for x<=0 the line
f(x) = y = 4x - 3
goes sharp down but goes a little bit to the left the further down it goes. it starts with x=0, which gives y=-3 per the function.
so, the starting point (with a full dot, as x=0 is included) is (0,-3).
from there it goes sharp down and a little bit to the left.
for example the next point is for x=-1, which gives y=-7, so it is the point (-1,-7). x=-2 gives y=-11 and the point (-2,-11).
the line has to go through so these points and further down (again, "to infinity and beyond !"), as to move further left on the negative x-axis.
Answer:
12.99km
Step-by-step explanation:
Using the formula
C=2(pi)(r)
So each house can hold 1000 cubes that are 1 meter in length. The house is also shaped like a cube, so you need to cube-root 1000. The cube-root of 1000 is 10. So the cube house has a length, width, and height of 10 meters.