Answers:
Part A: 12y² + 10y – 21
Part B: 4y³ + 6y² + 6y – 5
Part C: See below.
Explanations:
Part A:
For this part, you add Sides 1, 2 and 3 together by combining like terms:
Side 1 = 3y² + 2y – 6
Side 2 = 4y² + 3y – 7
Side 3 = 5y² + 5y – 8
3y² + 2y – 6 + 4y² + 3y – 7 + 5y² + 5y – 8
Combine like terms:
3y² + 4y² + 5y² + 2y + 3y + 5y – 6 – 7 – 8
12y² + 10y – 21
Part B:
You have the total perimeter and the sum of three of the sides, so you just need that fourth side value, which we can call d.
P = 4y³ + 18y² + 16y – 26
Sides 1, 2 & 3 = 12y² + 10y – 21
Create an algebraic expression:
12y² + 10y – 21 + d = 4y³ + 18y² + 16y – 26
Solve for d:
12y² + 10y – 21 + d = 4y³ + 18y² + 16y – 26
– 12y² – 12y²
10y – 21 + d = 4y³ + 6y² + 16y – 26
– 10y – 10y
– 21 + d = 4y³ + 6y² + 6y – 26
+ 21 + 21
d = 4y³ + 6y² + 6y – 5
Part C:
If closed means that the degree that these polynomials are at stay that way, then yes, this is true in these cases because you will notice that each side had a y², y and no coefficient value except for the fourth one. This didn't change, because you only add and subtract like terms.
Answer:
The area of the quarter circle is 
Step-by-step explanation:
we know that
The area of a quarter circle is equal to
we have
substitute the value
The correct answer is: [C]: " p = 6.25 h " .
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Explanation:
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It is clear that "pay" is a function of "hours worked" ;
So, we can eliminate: "Choice [B]: " h = <span>6.25p" .
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Try, Choice [A]: " </span>p = h + 12.5 " ; and 14.50 ≠ 12.50 ; (12.50 is the amount shown in the table. So, we can already eliminate "Choice [A]".
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Now that we have eliminated choices [A] and [B];
we are left with choices: [C] and [D]:
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Consider choice [C]: " </span><span>p = 6.25h " ;
</span> when "h = 2" ; does: "p = 12.5" (as shown on table)?? ;
i.e. " 12.5 =? 6.25 * (2) ?? Yes! This choice is a POSSIBILITY.
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Consider choice [D]: " p = 12.5h" .
When "h = 2, does "p = 12.5" (as shown on table)? No!
→ We can see from this very answer choice
(the equation itself) that when "h = 2" ;
the value of "p" is DOUBLE [that of "12.5"].
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The correct answer is: Answer choice: [C]: " <span>p = 6.25 h " .
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×=4 since you divide 3 and 12 by 3
So it would be 13-16 (4×4)
Your answer is -3
This is an example of a systematic sample.
Dr. Jon developed a system in order to get a random sample. His plan was to survey the 4th student that entered his classroom.
