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Zinaida [17]
3 years ago
5

Find an equation of the tangent line to the graph of

Mathematics
2 answers:
lakkis [162]3 years ago
6 0

Answer:

y + 4 = -3 (x - 5)

In other words,

y = -3 x + 11

Step-by-step explanation:

The slope of the tangent line to y = g(x) at x = 5 is the same as the value of g'(x). g'(5) = 3. Therefore, 3 will be the slope of the tangent line.

The tangent line goes through the point of tangency (5, g(5)). g(5) = -4. Therefore, the tangent line passes through the point (5, -4).

Apply the slope-point form of the line. The equation for a line with slope <em>m</em> that goes through point (a, b) will be y - b = m(x - a). For the tangent line in this question,

  • m = 3,
  • a = 5, and
  • b = -4.

What will be the equation of this line?

Darina [25.2K]3 years ago
5 0

Answer:   y = 3x - 19

<u>Step-by-step explanation:</u>

            y = g(x)

                 g(5) = -4  

⇒        y =           -4       <em>when x = 5</em>     ⇒    (5, -4)  


g'(5) = 3     means that when x = 5, the tangent slope (m) = 3

  • <em>because the first derivative gives the tangent slope</em>

Use the Point-Slope formula to find the equation of the line that passes through the point (5, -4) with slope (m) of 3:

y - y₁ = m(x - x₁)

y -(-4) = 3(x - 5)

y + 4 = 3x - 15

y       = 3x - 19

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Answer:

175 cm³

Step-by-step explanation:

Volume = área * thick

Volume = 35cm² * 5cn

Volume = 175 cm³

3 0
2 years ago
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Talja [164]

Hey!

Let's walk through this together.

Possible Answers: {5, 7, 9, 11, 13}

Let's start with 5.

5-4<8

1<8

So, 5 is CORRECT.

Next, 7.

7-4<8

3<8

So, 7 is CORRECT.

Next, 9.

9-4<8

5<8

So, 9 is CORRECT.

Next, 11.

11-4<8

7<8

So, 11 is CORRECT.

Last, 13.

13-4<8

11<8

So, 13 is INCORRECT.

Your answers are: {5,7,9,11}

So D.

Hope this helps!

<h2><em>~~~PicklePoppers~~~</em></h2>
4 0
2 years ago
In order to test for the significance of a regression model involving 3 independent variables and 47 observations, the numerator
matrenka [14]

Answer:

The correct option is  C

Step-by-step explanation:

From the question we are told that

     The number of independent variables is  n =  3

     The number of observation is  z =  47

     

Since n is are independent variables then their degree of freedom is  3

   The  denominator(i.e z) degrees of freedom is evaluated as

            Df(z) =  z - (n +1)

          Df(z) =  47 - (3 +1)

          Df(z) =  43

So for the numerator (n) the degree of freedom is  Df(n) = 3

So for the denominator(i.e z) the degree of freedom is  Df(z) = 43

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3 years ago
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vlabodo [156]

Answer:

C

Step-by-step explanation:

11 times 4 is 44 plus 5 is 49

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