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Assoli18 [71]
3 years ago
13

If f(x) = x2 + 2x + 9, what is f(x + 1)?

Mathematics
1 answer:
Ratling [72]3 years ago
8 0

Answer:

<em>x² + 4x + 12</em><em> </em>

Step-by-step explanation:

f(x) = x² + 2x + 9

<em>f(x + 1)</em> = (x + 1)² + 2(x + 1) + 9 = x² + 2x + 1 + 2x + 2 + 9<em> = x² + 4x + 12</em>

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1
makvit [3.9K]

The average rate of change of f(x) on the interval [5, 5 + h] is 1

<h3>How to find the average rate of change of f(x) on the interval [5, 5 + h]?</h3>

The equation of the function is given as:

f(x) = x + 11

The interval is given as: [5, 5 + h]

So, we start by calculating f(5) and f(5 + h)

This gives

f(5) = 5 + 11 = 16

f(5 + h) = 5 + h + 11 = h + 16

The average rate of change of f(x) on the interval [5, 5 + h] is then calculated as:

Rate = [f(5 + h) - f(5)]/[5 + h - 5]

Substitute the known values in the above equation

Rate = (h + 16 - 16)/(5 + h - 5)

Evaluate the sum and the difference

Rate = h/h

This gives

Rate = 1

Hence, the average rate of change of f(x) on the interval [5, 5 + h] is 1

Read more about the average rate of change at

brainly.com/question/8728504

#SPJ1

5 0
1 year ago
Please help i will give brainliest
siniylev [52]

Answer:

The correct statement is D)

Step-by-step explanation:

To get this equation into slope-intercept form, you need to isolate the variable y on the left. 2y - 3x = -4 ⇒ 2y = 3x - 4 ⇒ y = \frac{3}{2}x - 2. The slope would be \frac{3}{2} which is positive, and the y-intercept is -2, which is negative.

6 0
3 years ago
What is a other name for the set of all x-values
Oliga [24]

Answer:

its domain

Step-by-step explanation:

7 0
4 years ago
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4b-1=-9 solve the equation
tatiyna
4b-1=-9\ \ \ |+1\\\\4b=-8\ \ \ |:4\\\\b=-2
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4 years ago
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The diameter of a cylinder of a 350 cubic inch engine is 86.4 millimeters, with a tolerance of ±0.0025 millimeters. What is the
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b because it is xD i dont know how to explain

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4 years ago
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