What is the expression for this verbal description?a. six times a number less nine
1 answer:
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For this case, the first thing we must do is define variables.
We have then:
x: number of pens
y: number of pencils
We now write the system of inequations:
The solution to the system of inequations is given by the shaded region.
Note: see attached image.
We have then:
x: number of pens
y: number of pencils
We now write the system of inequations:
The solution to the system of inequations is given by the shaded region.
Note: see attached image.
Answer:
See Below.
Step-by-step explanation:
Problem 1)
We want to simplify:
First, let's factor the denominators of each term. For the second term, we can use the difference of two squares. Hence:
Now, create a common denominator. To do this, we can multiply the first term by (<em>a</em> + 1) and the second term by (<em>a</em> + 2). Hence:
Add the fractions:
Factor:
Simplify:
We can expand. Therefore:
Problem 2)
We want to simplify:
Again, let's create a common denominator. First, let's factor out a negative from the second term:
Now to create a common denominator, we can multiply the first term by (<em>a</em> - <em>c</em>) and the second term by (<em>a</em> - <em>b</em>). Hence:
Subtract the fractions:
Distribute and simplify:
Cancel. Hence:
Answer:
I don’t know which answer choice it is since C and D are the same but the answer is supposed to be x < -15.
Step-by-step explanation:
the image has the work shown
