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:
brainly.com/question/17255629
Given:
f(x) and g(x) are two quadratic functions.
The table of values for the function g(x) is given.
To find:
The statement that best compares the maximum value of the two functions.
Solution:
We have,
Here, the leading coefficient is -8 which is a negative number. So, the function f(x) represents a downward parabola.
We know that the vertex of a downward parabola is the point of maxima.
The vertex of a quadratic function 
is:
In the given function, 
.
Putting 
in the given function, we get
So, the vertex of the function f(x) is at (0,-7). It means the maximum value of the function f(x) is -7.
From the table of g(x) it is clear that the maximum value of the function g(x) is 6.
Since 
, therefore g(x) has a greater maximum value than f(x).
Hence, the correct option is C.
Answer:
A
Step-by-step explanation:
Calculate the slope m using the slope formula
m = 
with (x₁, y₁ ) = (- 3, 8) and (x₂, y₂ ) = (0, 10) ← 2 ordered pairs from the table
m = 
= 
→ A
Equal (4.80) that’s what that equals
Answer:
3/1 or 3
Step-by-step explanation:
