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nignag [31]
1 year ago
6

Explain the tangent line problem

Mathematics
1 answer:
ale4655 [162]1 year ago
8 0

The Tangent Line Problem  1/3How do you find the slope of the tangent line to a function at a point Q when you only have that one point? This Demonstration shows that a secant line can be used to approximate the tangent line. The secant line PQ connects the point of tangency to another point P on the graph of the function. As the distance between the two points decreases, the secant line becomes closer to the tangent line.
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F(x)=3x 2 +24x+48f, left parenthesis, x, right parenthesis, equals, 3, x, squared, plus, 24, x, plus, 48 What is the value of th
neonofarm [45]

Answer:

The discriminant of function is 0. There one distinct real number zero of f(x)(repeated roots).

Step-by-step explanation:

We are given the following function in the question:

f(x)=3x^2 +24x+48

We have to calculate the discriminant of the function.

Comparing to

f(x) = ax^2+bx+c

We get,

a = 3\\b=24\\c = 48

Discriminant is given by:

D = b^2-4ac

Putting values, we get,

D = (24)^2-4(3)(48) = 0

Thus, the discriminant of function is 0.

Since, the discriminant is zero, the function have repeated real roots. Thus, one distinct real number zero of f(x).

3 0
2 years ago
Mathematical statements into logical statements with nested quantifiers. About Translate each of the following English statement
Setler79 [48]

Answer:

Answer is given below under explanation

Step-by-step explanation:

We are told that the domain is a set of real numbers. Let's depict by a & b.

We will use the following symbols;

∀ means for all

Ǝ there exists

∧ means logical conjuction

Thus;

A) Ǝ a,b : ( a/b < 1, b/a < 1 )

B) ∀ a : ( a > 0 = 1/a > 0 )

C) Ǝ a,b : (a + b = ab)

D) ∀ a,b : [ ( a > 0 ) ∧ ( b > 0 ) = (( a/b > 0 ) ∧ ( b/a > 0 ))]

E) ∀ b : [( b > 0 ) ∧ ( b < 1) = ( 1/b > 1 )]

F) n ( ( Ǝ x ∀ b ( a < b ) )

5 0
2 years ago
Sports City is having a blowout sale on sports equipment. You have a total of $450 to spend. What discount would have to be offe
Lunna [17]

Answer:

34.8%

Step-by-step explanation:

$600+15%

=600+15/100*600

=600+90

=$690

You have $450 and you want to purchase a product of $690(regular price+sales tax)

$690-$450

=$240

Percentage of $240 discount

=240/690*100

=34.78%

Approximately 34.8%

7 0
2 years ago
List the next three numbers for the sequence:<br><br> 34, 102, 408, 2040, ...
stiv31 [10]

Answer:

12240

85680

685440

Step-by-step explanation:

We know that the sequence is growing rapidly

To see how rapidly divide the second term by the first term

102/34 =3

Check the third term divided by the second term

408/102 =4

Check the fourth term divided by the third term

2040/408=5

To get the second term, multiply by 3,  to get the third term multiply by 4

to get the fourth term multiply by 5

to get the nth term multiply by (n+1)

The 5th term would be multiplied by 6

2040 *6 =12240

The 6th term by 7

12240*7=85680

The 7th term by 8

85680*8=685440

5 0
1 year ago
How is 8.6-0.047=8.553
VashaNatasha [74]

Because 8.6 is technically 8.600000...

So, you can do...

 8.6000

-0.0047

_______

8.553. Hope this answer helps!!!

4 0
2 years ago
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