The polynomial will be given as P(x) = a(x + 3)² (x – 2)³. Then the correct option is D.
A polynomial expression is an algebraic expression with variables and coefficients. Unknown variables are what they're termed. We can use addition, subtraction, and other mathematical operations. However, a variable is not divisible.
5th degree polynomial has a zero at x= -3 with multiplicity of 2 and a zero of x=2 with multiplicity of 3 and value of the function is neg. when x = -4.
Then the factor of the polynomial will be (x + 3) and (x – 2).
Then the polynomial will be given as,
P(x) = a(x + 3)² (x – 2)³
Where a is the leading coefficient.
Then the correct option is D.
More about the polynomial link is given below.
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Answer:
the one with the red line
Step-by-step explanation:
The volume of flexible air filled container at 99 feet in sea water is 10 cu.ft.
Boyle's Law states that If the temperature is constant, the volume of a gas is inversely proportional to the absolute pressure.
V 1/V2 =P2/P1
V2 = P1 x V1 /P2
Substitute 60 psi for P2, 14.7 psi for P1 and 40cu.ft for V1, we get the volume V2
V2 = 40 x 14.7 / 60
V2 = 9.8 cu.ft
Volume is approximately 10 cu.ft.
Thus, the volume of flexible air filled container at 99 feet in sea water is 10 cu.ft.
Learn more about Boyles law.
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Answer:
50 cu ft
Step-by-step explanation:
The sum of the geometric progression up to the 6th term is 512/7
To find the sum of a geometric series, you can use the formula for the sum of a finite geometric series:
Where:
- Sₙ is the sum of the first n terms of the series.
- a is the first term of the series.
- r is the common ratio.
- n is the number of terms in the series.
In your case, you have the geometric series: 16, 2, 1/4, ...
1. Identify the values for the formula:
- The first term (a) is 16.
- The common ratio (r) is found by dividing the second term by the first term: 2/16 = 1/8.
- You want to find the sum of the first 6 terms (n = 6).
2. Plug these values into the formula and calculate S₆:
S₆ = (16(1 - (1/8)⁶))/(1 - 1/8)
Now, calculate the individual terms in the formula:
S₆ = (16(1 - 1/262144))/(7/8)
S₆ = (16(262143/262144))/(7/8)
S₆ = ((4194288/262144)/(7/8)
Now, perform the division:
S₆ = (4194288/262144) \* (8)/(7)
S₆ = 64 * 8/7
Now, multiply:
S₆ = 512/7
So, the sum of the geometric progression up to the 6th term is 512/7
Learn more about geometric series here
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For this case, what we must do is solve the following system of equations: tan (50) = h / x tan (40) = h / (x + 50)
Solving the system we have: (x + 50) * tan (40) = h (x) * tan (50) = h
Matching: (x + 50) * tan (40) = (x) * tan (50)
Rewriting: x (tan (50) - tan (40)) = 50 * tan (40) x = 50 * tan (40) / (tan (50) - tan (40)) x = 118.9692621
Substituting: h = (x) * tan (50) h = (118.9692621) * tan (50) h = 141.7820455
B. 141.8ft
The range is y > 3.
The initial value is 3.
The initial value is 9.
The simplified base is .
The simplified base is 3.
Answer:
The answers are A, C, F
Step-by-step explanation:
Took the quiz and saw the answers, your welcome! ;)
To solve this problem, we must multiply the cost of one box of chocolates ($9) by the number of boxes of chocolates purchased (15) to find the total cost of the chocolates.
$9 * 15 = $135
Therefore, your answer is $135, or option D.
Hope this helps!
Answer:
135
Step-by-step explanation:
Do you also use edmentum?
Answer:
Step-by-step explanation:
1050 flowers
3/10 of them are red=> 3/10 *1050=3*105=315 red flowers
2/5, (or 4/10), are white =>4/10 * 1050=4*105=420 white flowers
=> 1050-(315+420)=1050-735=315 yellow flowers