The domain and the range of a function are the set of input and output values, the function can take.
- <em>The domain and the range of </em>
<em> is </em>
<em>.</em> - <em>The parent function </em>
<em> is vertically compressed by 9, then shifted down by 5 units to get </em>
<em />
<em />
Given

<u>Domain and range</u>
There is no restriction as to the input and the output of function g(x).
This means that the domain and the range are
is in interval notation
The corresponding set notation is: 
<u />
<u>The parent function</u>
We have:

First, the parent function is vertically compressed by a factor of 9.
The rule of this transformation is:

So, we have:

Next, the function is shifted down by 5 units.
So, we have:


Read more about functions at:
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Answer:
1. y = (⅔)x - 3
2. y = 3x + c
3. 1) non-proportional
2) can be proportional if c = 0
Step-by-step explanation:
1. What is the equation of a line that has a slope of ⅔ and a y-intercept of -3?
y = (⅔)x - 3
2. What is the equation of a line that has a slope of 3?
y = 3x + c
3. Lable the 2 equations as proportional or non-proportional and why.
A proportional relation should pass through the origin, i.e the y-intercept should be 0
Answer:
The answer is: y=2x−8
Step-by-step explanation:
Step 1: Add -8x to both sides.
8x−4y+−8x=32+−8x
−4y=−8x+32
Step 2: Divide both sides by -4.
−4y−4=−8x+32−4
y=2x−8
Answer:
Shop B
Step-by-step explanation:
Hi there!
To solve this question, we can find the new prices of each oven and identify which one is cheaper.
<u>Shop A</u>
Usual price: $190
Discount: 15%
First, we must subtract the discount percent from 100:
100 - 15 = 85
Therefore, the new price of the product will be 85% of the original price. Find 85% of $190:
190 × 0.85
Therefore, the new price is $161.50.
<u>Shop B</u>
Usual price: $200
Discount: 20%
Again, subtract 20 from 100:
100 - 20 = 80
This means that the new price of the oven is 80% of the original price:
200 × 0.8 = 160
Therefore, the new price is $160.
Because a $160 oven is cheaper than a $161.50 oven, Shop B sells the oven at a lower price.
I hope this helps!
Answer:
381
Step-by-step explanation:
2,286/6=381
Good luck!