Answer:
She needs 153
Step-by-step explanation:
Let x be the score in the 4th game
To find the average add up the scores and divide by the number of scores added
(149+162+152+x) /4 = 154
Multiply each side by 4
(149+162+152+x) /4 *4= 154*4
(149+162+152+x) = 616
Combine like terms
x+463=616
Subtract 463 from each side
x+463-463 = 616-465
x = 153
If you have 24 marbles, but you lost 3, then you have 21. Then the fraction would be
, simplified to
By polynomial grid division, we start by the divisor x²-3x+4 placed on the row headings of the table and end with the quotient -2x + 5 on the column headings as given. We know that -2x³ must be in the top left which means that the first column entry is indeed -2x. So the row and column multiply to -2x³. We use this to fill in all of the first column, multiplying -2x by the terms of the row entries.
-2x 5
x² -2x³
-3x 6x²
4 -8x
We now got 6x² though we want 11x². The next quadratic entry must then be 5x² so that the overall sum is 11x². Multiplying 5 by the terms of the row entries, we fill in all of the second column:
-2x 5
x² -2x³ 5x²
-3x 6x² -15x
4 -8x 20
The bottom and final term is 20, which is our desired answer and we can read the quotient off the first row:
-2x³ +11x² - 23x + 20 / x² - 3x + 4 = -2x + 5
We have calculated for all the terms that belong in table, therefore, the terms 5x² and 6x² belong in the shaded cells.
The transformed equation y = -(x - 2)^2 - 3 compared to the parent function involves translating the parent function to the right by 2 units, reflecting the function across the y-axis and translating the function 3 units down
<h3>How to compare the function to its parent function?</h3>
The equation of the transformed function is given as:
y = -(x - 2)^2 - 3
While the equation of the parent function is given as
y = x^2
Start by translating the parent function to the right by 2 units.
This is represented as:
(x, y) = (x - 2, y)
So, we have:
y = (x - 2)^2
Next, reflect the above function across the y-axis
This is represented as:
(x, y) = (-x, y)
So, we have:
y = -(x - 2)^2
Lastly, translate the above function 3 units down
This is represented as:
(x, y) = (x, y - 3)
So, we have:
y = -(x - 2)^2 - 3
Hence, the transformed equation y = -(x - 2)^2 - 3 compared to the parent function involves translating the parent function to the right by 2 units, reflecting the function across the y-axis and translating the function 3 units down
Read more about function transformation at:
brainly.com/question/8241886
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