Answer:
x^4 + 5x^3 - 12x^2 + 5x + 1
<h3>
Answer: sqrt(20)</h3>
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Explanation:
Count out the spaces, or use subtraction, to find the horizontal side BC is 2 units long. Similarly, you'll find the vertical side AC is 4 units long.
Use the pythagorean theorem to find the length of segment AB.
a^2 + b^2 = c^2
2^2 + 4^2 = c^2
4 + 16 = c^2
20 = c^2
c^2 = 20
c = sqrt(20)
We stop here since it matches with choice B.
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Optionally, we can simplify like so
sqrt(20) = sqrt(4*5)
sqrt(20) = sqrt(4)*sqrt(5)
sqrt(20) = 2*sqrt(5)
Answer:
4 hours
Step-by-step explanation:
32 = 6x + 8
24 = 6x
4 = x
Question:
Which statement is true about the polynomial
–3x4y3 + 8xy5 – 3 + 18x3y4 – 3xy5 after it has been fully simplified?
It has 3 terms and a degree of 5.
It has 3 terms and a degree of 7.
It has 4 terms and a degree of 5.
It has 4 terms and a degree of 7.
Answer:
Option D: It has 4 terms and a degree of 7.
Explanation:
The given polynomial is
We need to simplify the polynomial to determine the number of terms and the degree of the polynomial.
Hence, the simplified polynomial is given by
Term of a polynomial:
The term of a polynomial consists of a number multiplied by a variable or it may be a constant.
Thus, the simplified polynomial has 4 terms.
Degree of a polynomial:
The degree of a polynomial is the sum of exponents of the variables in a term.
Thus, the simplified polynomial has a degree of 7.
Hence, the polynomial has 4 terms and a degree of 7.
Therefore, Option D is the correct answer.
Answer:
7.5 Hours
Step-by-step explanation:
(18 pages per hour) * (x hours) = (135 pages)
18x pages = 135 pages
18x = 135
Divide both sides by 18 to get rid of the 18 and to get x on its own.
x = 135 / 18
x = 7.5
Mary would take 7.5 hours to complete the book.