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umka2103 [35]
3 years ago
7

What is the answer to this?

Mathematics
1 answer:
Vinvika [58]3 years ago
7 0

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

A function can have only one output for any given input. Thus for the repeated input, the function will have the same output repeated.

A non-function will have two (or more) different outputs for one input. So, for the repeated input, the non-function will have different outputs. (Anything that is not 6 will do.)

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A function f defined by f(x) = x² + px + q is such that f(3) = 6 and f¹(3) = 0. Find the value of q.
CaHeK987 [17]

Answer:

q = 15

Step-by-step explanation:

Given

f(x) = x² + px + q , then

f(3) = 3² + 3p + q = 6 , that is

9 + 3p + q = 6 ( subtract 9 from both sides )

3p + q = - 3 → (1)

---------------------------------------

f'(x) = 2x + p , then

f'(3) = 2(3) + p = 0, that is

6 + p = 0 ( subtract 6 from both sides )

p = - 6

Substitute p = - 6 into (1)

3(- 6) + q = - 3

- 18 + q = - 3 ( add 18 to both sides )

q = 15

5 0
3 years ago
I need one more smart person plezzz
Ymorist [56]

Answer:

Interior: 135 degrees

Exterior: 45 degrees

Step-by-step explanation:

The interior angle of a regular octagon is exactly 135 degrees, which can be found using the (n – 2)180 formula. The exterior is simply 180 - the interior, which is 45. :)

6 0
2 years ago
Read 2 more answers
I need help for this table option
Angelina_Jolie [31]

Answer:

4.3 g

Step-by-step explanation:

An outlier is a data point that strays far from the average of the group.

The other data points are all close to 3.

See how 4.3 is way farther from 3 than all the rest?

5 0
2 years ago
The planets move around the sun in elliptical orbits with the sun at one focus. The point in the orbit at which the planet is cl
gladu [14]

Consider the attached ellipse. Let the sun be at the right focus. Then perihelion is at right vertex on the x-axis and aphelion is at the left vertex on the x-axis.

The distances:

  • from perihelion to the sun in terms of ellipse is a-c;
  • from aphelion to the sun in terms of ellipse is a+c.

Then

\left\{\begin{array}{l}a-c=741,000,000\\a+c=817,000,000\end{array}\right.

Add these two equations:

2a=1,558,000,000 \\ \\a=779,000,000

and subtract first equation from the second:

2c=76,000,000 \\ \\c=38,000,000.

Note that b=\sqrt{a^2-c^2}, thus

b=\sqrt{779,000,000^2-38,000,000^2}=\sqrt{605,397,000,000,000,000}.

The equation for the planet's orbit is

\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1\Rightarrow \dfrac{x^2}{606,841,000,000,000,000}+\dfrac{y^2}{605,397,000,000,000,000}=1.

7 0
3 years ago
Whats the step by step answer to this equation i got -25 but its supposed to be positive not negative
andreev551 [17]

Answer:

25

Step-by-step explanation:

  • - 6/5x = -30               ⇒ multiply both sides by -1
  • 6/5x = 30                  ⇒ multiply both sides by 5
  • 6x = 5*30
  • x = 150/6                   ⇒ divide both sides by 6
  • x = 25                        ⇒ answer
6 0
3 years ago
Read 2 more answers
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