Step-by-step explanation:
→ Option A
x² - 11x + 28
= (x - 7)(x - 4) ❎
→ Option B
x² - 6x + 8
= (x - 4)(x - 2) ❎
→ Option C
x² + 7x + 12
= <u>(x + 4)</u>(x + 3) ✔️
The distance around the circle is called the A. circumference
Answer:
B
Step-by-step explanation:
1. Lets focus on 55^5
55^5 = 11^5 * 5^5
2. now on 65
65 = 5 * 13
3. now on 9^15
9^15=(3^2)^15 = 3^30
4. combine all three parts
11^5 * 5^5 * 5 * 13 * 3^30 = 11^5*5^6*13*3^30
so our answer is B
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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The system of inequalities is x+y≥250 and 3x+2y≤800.
Step-by-step explanation:
Given,
People to invite = at least 250
At least 250 means that the number can increase from 250.
Cups to be provided = only 800
It means the number cannot exceed 800.
Number of adults = A
Number of children = C
According to given statement;
x+y≥250
3x+2y≤800
The system of inequalities is x+y≥250 and 3x+2y≤800.
Keywords: linear inequalities, addition
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