Answer:

Step-by-step explanation:
Given

Solving (a): Multiplication sentence

Rewrite of as *

Solve

Hence, the multiplication sentence is:

Solving (b): Rectangular fraction model
In (a) above, the result is 2/5
The fraction model will be represented as thus:
- Draw a rectangle
- Partition in to 5 equal parts (5 represents the denominator)
- Shade 2 of the 5 partitions (2 represents the numerator)
<em>See attachment for model</em>
Answer:
1) x = -2
Step-by-step explanation:
1) x + 7 + x + 11 = 14
2x + 18 = 14
2x = 14 - 18
2x = -4
x = -4/2 = -2
Answer:
g-1(x) = 3(x + 7).
Domain is All Real values of x.
Range is All Real values of the function.
Step-by-step explanation:
Let y = 1/3 x - 7
1/3 x = y + 7
Multiply both sides by 3:
x = 3(y + 7)
So the inverse of g(x) = g-1(x) = 3(x + 7).
Domain is All Real values of x.
Range is All Real values of the function.
Answer:
a) see below
b) 40x20 meters
Step-by-step explanation:
Write down what you know:
- The area of the enclosure is length*width, so

- The length of the fencing is 80 meters, so

Now we have to combine these two equations above, and get rid of y in the process.
First rewrite the second as:

Then substitute for y in the first:

b) To maximize A, find the zero of the first derivative:

So y = (80-40)/2 = 20 meters.