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arlik [135]
2 years ago
13

At what point on the curve y = 19 2x is the tangent line perpendicular to the line 20x 4y = 1?

Mathematics
1 answer:
Gennadij [26K]2 years ago
7 0

The points are; (7/2, -1/2).

<h3>What is the given point?</h3>

Now the tangent line is given as;20x 4y = 1. When we rewrite it in the slope intercept form, we have the equation as; y = 1 - 20x/4 or y = 1/4 - 5x.

Then to obtain the slope of the curve we have; y = 19 - 2x

dy/dx = 2

Using the relation;

m1m2 = -1

m2 = -1/2

Hence;

y = 1/4 - 5(-1/2)

y = 1/4 + 5/2

y = 7/2

Thus the points are; (7/2, -1/2)

Learn more about normal curve:brainly.com/question/10664419

#SPJ4

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A notary receives $ 3500 for elaborating a title property and $2000 for the constitutive act of an enterprise. In a month did a
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Answer:

6 titles and 16 acts were elaborated

Step-by-step explanation:

Let the number of titles be t and the number of acts be a

Since the total is 22 operations:

a + t = 22 •••••••(i)

Total amount from titles = 3500 * t = 3500t

Total amount from acts = 2000 * a = 2000a

2000a + 3500t = 53,000 ••••••(ii)

From i, a = 22-t

Insert this in ii

2000(22-t) + 3500t = 53,000

44,000 - 2000t + 3500t = 53,000

1,500t = 53000-44000

1500t = 9000

t = 9000/1500

t = 6

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5 0
3 years ago
Write the name (not the equation) of each of the following:
Vladimir [108]

The names of the functions in the attached figure are:

  • Cubic function
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<h3>How to name the functions?</h3>

Functions can be named by their parent functions.

This is so because functions derive their properties from their parent functions.

There are several parent functions, some of them are:

  • Linear equation
  • Exponential equation
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Using the above as a guide, the names of the functions in the attached figure are:

  • Cubic function
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  • Rational function.
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Read more about parent functions at:

brainly.com/question/17079244

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5 0
2 years ago
Helen purchased 3 copies of a book online at a 20% discount. She also paid $10 for shipping that was not discounted. How much wa
umka21 [38]

Answer:

The original price of the book was $12.50

Step-by-step explanation:

3x - 0.2(3x) + 10 = 40
30x - 2(3x) + 100 = 400
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           24x + 100 = 400
                     24x = 300
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You are choosing between two health club. club a offers membership for a fee of $20 plus a monthly fee of $25. club b offers mem
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