The simplification of the expression (h² + 9·h - 1) × (-4·h + 3), involves the
multiplication of the terms. The error is therefore;
3. Calculating errors when distributing -1
<h3>How can the error in the calculation be found?</h3>
The expansion of (h² + 9·h - 1) × (-4·h + 3), is given as follows;
(h² + 9·h - 1) × (-4·h + 3) = -4·h³ + 3·h² - 36·h² + 27·h + 4·h - 3
Which gives;
-4·h³ - 33·h² + 31·h - 3
The calculation is therefore;
![\begin{array}{|c|c|c|c|}&h^2&+9 \cdot h & -1\\-4 \cdot h&-4\cdot h^3&-36\cdot h^2 &4 \cdot h\\+3& 3 \cdot h^2&27 \cdot h&3\end{array}\right]](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7B%7Cc%7Cc%7Cc%7Cc%7C%7D%26h%5E2%26%2B9%20%5Ccdot%20h%20%26%20-1%5C%5C-4%20%5Ccdot%20h%26-4%5Ccdot%20h%5E3%26-36%5Ccdot%20h%5E2%20%264%20%5Ccdot%20h%5C%5C%2B3%26%203%20%5Ccdot%20h%5E2%2627%20%5Ccdot%20h%263%5Cend%7Barray%7D%5Cright%5D)
The error is therefore, in the distribution of the -1
The correct option is;
3. Calculating errors when distributing -1
Learn more about expansion of polynomial expressions here:
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Answer:
b.The interquartile range for cars is about 7 mpg, and the interquartile range for minivans is about
3 mpg.
Step-by-step explanation:
i got it right
The equation we can use to find the value of x in the diagram given is: B. (5x + 30) + 5x = 90.
<h3>What are Complementary Angles?</h3>
Angles that give a sum of 90 degrees when added are referred to as complementary angles.
The angles, (5x + 30) and 5x are complementary angles, since the sum of both gives a right angle (90 degrees).
Therefore, the equation that we can use to find x in the diagram is: B. (5x + 30) + 5x = 90.
Learn more about complementary angles on:
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Answer: A pair of inverse operations is defined as two operations that will be performed on a number or
variable, that always results in the original number or variable. Another way to think of this is
that the two inverse operations “undo” each other. For example, addition and subtraction are
inverse operations since we can say
x x 2 2 . If we start with x, then add 2 and subtract 2,
we are left with the original starting variable x.
There are several inverse operations you should be familiar with: addition and subtraction,
multiplication and division, squares and square roots (for positive numbers), as well as cubes and
cube roots. The following examples summarize how to undo these operations using their
inverses
Step-by-step explanation:
