The mistake that Danielle made is from the final equation of the polynomial. She did not write the degree of polynomial correctly. It should be 6x⁶ +2x²+ 2x - 8.
<h3>What is polynomial?</h3>
A polynomial is defined as a mathematical expression that has a minimum of two terms containing variables or numbers. A polynomial can have more than one term.
To determine the sum of x³ + 5x²-7 and 5x³ - 3x² + 2x - 1
Danielle's Work :
(x³ + 5x² - 7) + (5x³ - 3x² + 2x - 1)
x³ + 5x³ + 5x² - 3x² + 2x - 7 - 1
6x⁶ +2x⁴ + 2x - 8
She did not write the degree of polynomial correctly
Correct Work :
(x³ + 5x² - 7) + (5x³ - 3x² + 2x - 1)
we have to open the brackets above
x³ + 5x² - 7 + 5x³ - 3x² + 2x - 1
x³ + 5x³ + 5x² - 3x² + 2x - 7 - 1
6x⁶ +2x²+ 2x - 8
Note that Danielle made the error in this step: 6x⁶ +2x⁴ + 2x - 8
The solution for the above is -2x² and not 2x⁴ as she wrote in her final equation.
Hence, the correct polynomial would be 6x⁶ +2x²+ 2x - 8
Learn more about polynomial here:
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Answer:
the probability of a client owning stocks OR bonds is 0.825
Step-by-step explanation:
The computation of the probability of a client owning stocks OR bonds is given below:
= P(stocks) + P(bonds) - P(stocks and bonds)
= 0.60 + 0.50 - (0.55 × 0.50)
= 0.60 + 0.50 - 0.275
= 0.825
Hence, the probability of a client owning stocks OR bonds is 0.825
Shortest to tallest: Plant A, Plant B, Plant C.
Given:
Plant A 1/3 inch tall
Plant B 3/4 inch tall
Plant C 5/6 inch tall
Order from shortest to tallest.
First we need to get the least common multiple of the three fractions.
Multiple of 3: 3, 6, 9, 12
Multiple of 4: 4, 8, 12, 16
Multiple of 6: 6, 12, 18
Their least common multiple is 12. We need to multiply each fraction by the number that will give the product of 12 to the denominator.
Plant A: 1/3 * 4/4 = 4/12
Plant B: 3/4 * 3/3 = 9/12
Plant C: 5/6 * 2/2 = 10/12
Since the denominator is common, we will use the numerator as basis in ordering the plants from shortest to tallest.
4 is less than 9 and 9 is less than 10.
so, Plant A is the shortest, Plant B is the medium height, and Plant C is the tallest.
Answer:
Length = 80 m and breadth = 60 m If one moves along the two adjacent sides, one covers 80+60 = 140 m. Diagonal of the rectangle = √ ( length^2 + breadth^2) ...
