The expression 1x² + 14x + 40 is a quadratic expression, and the answers in the yellow boxes are 40 and 14
<h3>How to complete the boxes?</h3>
The quadratic expression is given as:
1x² + 14x + 40
This implies that:
a = 1
b = 14
c = 40
Because a quadratic expression is represented as:
ax² + bx + c
The expressions in the yellow boxes are:
a * c and b
So, we have:
a * c = 1 * 40 = 40
b = 14
Hence, the answers in the yellow boxes are 40 and 14
Read more about quadratic expressions at:
brainly.com/question/18797214
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Answer:false
Step-by-step explanation:
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Answer:
maximum difference is 38 at x = -3
Step-by-step explanation:
This is nicely solved by a graphing calculator, which can plot the difference between the functions. The attached shows the maximum difference on the given interval is 38 at x = -3.
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Ordinarily, the distance between curves is measured vertically. Here that means you're interested in finding the stationary points of the difference between the functions, along with that difference at the ends of the interval. The maximum difference magnitude is what you're interested in.
h(x) = g(x) -f(x) = (2x³ +5x² -15x) -(x³ +3x² -2) = x³ +2x² -15x +2
Then the derivative is ...
h'(x) = 3x² +4x -15 = (x +3)(3x -5)
This has zeros (stationary points) at x = -3 and x = 5/3. The values of h(x) of concern are those at x=-5, -3, 5/3, 3. These are shown in the attached table.
The maximum difference between f(x) and g(x) is 38 at x = -3.
D. there is no numbers to work with so you just have to use a variable