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:
Line up the decimal points. **Answer is Least to greatest: 10.5 , 11, 19**
Step-by-step explanation:
You need to line each number up.
10.5
11.0
19.0
The reason why 11 and 19 have a decimal point and zero at the end is because you need to do that in order to compare the numbers.
This problem is also a little common sense because 10.5 is the smallest, 19 is the largest while 11 is in the middle.
Answer:
The improper fraction of the shaded parts is 7/6.
Step-by-step explanation:
1 1/6 = 1/6 + 1/6 + 1/6+ 1/6 + 1/6 + 1/6 + 1/6 = 7/6
The answer is B. 18 and 19. I hope this helps!
Answer:
Step-by-step explanation:
The first function is 
.
We make y the subject of this function to obtain,
.
This is graph will open downwards because 
.
At y-intercept of this graph, 
.
The y-intercept is 
.
At x-intercept 
.
.
The x-intercepts are,
Also the vertex form of the function is,
.
Therefore the vertex of the parabola is 
.
We plot all the points obtained and draw a smooth curve to obtain the curve as show in the diagram.
The second function is
This is the graph of the basic quadratic function 
that has been turned upside down.
This graph also has the vertex,y-intercept and x-intercept all at 
.
We now graph this too on the same graph sheet as the first one to obtain the blue graph as shown in the diagram.
These two graphs intersect at the point, .
Therefore the correct answer is B
