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stellarik [79]
3 years ago
11

You and your friend are selling magazine subscriptions for a fundraiser. After w

Mathematics
1 answer:
qaws [65]3 years ago
8 0

(9w +2) - (7w+6)

2w-4

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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
Write equation in slope intercept form given the rate of change is 4 and the y-intercept is -1.
wolverine [178]

Answer:

y=4x-1 i think

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
What is the orthocenter of a triangle with vertices A(−3,−2)A(−3,−2), B(−2,2)B(−2,2), and C(2,−2)C(2,−2)?
ExtremeBDS [4]

A(−3,−2), B(−2,2), C(2,−2)

The orthocenter is the meet of the altitudes. We see AC is parallel to the x axis so the perpendicular x=-2 is the altitude through B.

Between A and B we have slope (2 - -2)/(-2 - -3) = 4 so perpendicular slope -1/4 through C(2,-2):

y+2 = -\frac 1 4 (x - 2)

For the y coordinate of the orthocenter we substitute in x=-2.

y+2 = -\frac 1 4(-2 - 2) = 1

y = -1

So the orthocenter is (x,y)=(-2,-1)

Answer: (-2,-1)

8 0
3 years ago
Help please!!!!!
tiny-mole [99]
<span>A is the correct answer for this</span>
7 0
3 years ago
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A bakery worker is making special holiday loaves to sell to customers. He already has seven loaves baked.
kodGreya [7K]

Not sure what the question is.. Can you be a little more specific? Hope I can help! :)

3 0
2 years ago
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