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Basile [38]
3 years ago
5

Which is an example of the commutative property?

Mathematics
1 answer:
astra-53 [7]3 years ago
8 0
A. <span>–13 + 27 = 27 + (–13) is an example of the commutative property.

The commutative property states that a + b = b + a.</span>
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Use the definition mtan=lim
Leokris [45]

(a) mtan refers to the slope of the tangent line. Given <em>f(x)</em> = 9 + 7<em>x</em> ², compute the difference quotient:

\dfrac{f(x+h)-f(x)}h = \dfrac{(9+7(x+h)^2)-(9+7x^2)}h = \dfrac{(9+7x^2+14xh+7h^2)-9-7x^2}h = \dfrac{14xh+7h^2}h

Then as <em>h</em> approaches 0 - bearing in mind that we're specifically considering <em>h</em> <em>near</em> 0, and not <em>h</em> = 0 - we can eliminate the factor of <em>h</em> in the numerator and denominator, so that

m_{\rm tan} = \displaystyle \lim_{h\to0}\frac{f(x+h)-f(x)}h = \lim_{h\to0}\frac{14xh+7h^2}h = \lim_{h\to0}(14x+7h) = 14x

and so the slope of the line at <em>P</em> (0, 9), for which we take <em>x</em> = 0, is 0.

(b) The equation of the tangent line is then <em>y</em> = 9.

4 0
2 years ago
A ball is dropped from a certain height. The function below represents the height f(n), in feet, to which the ball bounces at th
natali 33 [55]

Answer:

9 represents the initial height from which the ball was dropped

Step-by-step explanation:

Bouncing of a ball can be expressed by a Geometric Progression. The function for the given scenario is:

f(n)=9(0.7)^{n}

The general formula for the geometric progression modelling this scenario is:

f(n)=f_{0}(r)^{n}

Here,

f_{0} represents the initial height i.e. the height from which the object was dropped.

r represents the percentage the object covers with respect to the previous bounce.

Comparing the given scenario with general equation, we can write:

f_{0} = 9

r = 0.7 = 70%

i.e. the ball was dropped from the height of 9 feet initially and it bounces back to 70% of its previous height every time.

7 0
3 years ago
What integer <br> Describes a profit of <br> $650? Please show your work.
inna [77]
+$650 because there is no loss of money
7 0
3 years ago
Read 2 more answers
joseph and patrick purchase school supplies in the book store. Joseph purchases four notebooks and three pens for $10.65. Patric
natali 33 [55]

I think it is going to be 3.55 for each notebook and 1.9 for each pen

6 0
3 years ago
Noel had his birthday party at the movies. It cost $30
Salsk061 [2.6K]
78-30=48 48\6=8 so he brought 8 friends
6 0
3 years ago
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