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3 years ago

Evaluate the function rule for the given value . Y=12 times 3x for x=-2

Mathematics

2 answers:

algol133 years ago

6 0

$y=12*3^{x}$

plugging x=-2 in the given equation we get

$y=12*3^{-2}$

=12/3²

=12/9

=4/3

so answer is 4/3

Sever21 [200]3 years ago

5 0

Answer:

4/3

Step-by-step explanation:

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Please help me thank u so much

alex41 [277]

Answer:

28/5= 5 3/5 15/7= 2 1/7 21/4=5 1/4

Step-by-step explanation:

4 0

4 years ago

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A system for tracking ships indicated that a ship lies on a hyperbolic path described by 5x2 - y2 = 20. the process is repeated

zysi [14]

Answer:
The ship is located at (3,5)

Explanation:
In the first test, the equation of the position was:
5x² - y² = 20 ...........> equation I
In the second test, the equation of the position was:
y² - 2x² = 7 ..............> equation II
This equation can be rewritten as:
y² = 2x² + 7 ............> equation III

Since the ship did not move in the duration between the two tests, therefore, the position of the ship is the same in the two tests which means that:
equation I = equation II

To get the position of the ship, we will simply need to solve equation I and equation II simultaneously and get their solution.

Substitute with equation III in equation I to solve for x as follows:
5x²-y² = 20
5x² - (2x²+7) = 20
5x² - 2y² - 7 = 20
3x² = 27
x² = 9
x = ± √9

We are given that the ship lies in the first quadrant. This means that both its x and y coordinates are positive. This means that:
x = √9 = 3

Substitute with x in equation III to get y as follows:
y² = 2x² + 7
y² = 2(3)² + 7
y = 18 + 7
y = 25
y = +√25
y = 5

Based on the above, the position of the ship is (3,5).

Hope this helps :)

8 0

3 years ago

Enter the values for the highlighted variables to

LiRa [457]

I think this is right

6 0

3 years ago

Read 2 more answers

What is the equation of the line that passes through the point (3,4) and has an undefined slope?

rosijanka [135]

Answer:

The equation of the line that passes through the point (3,4) and has an undefined slope is x = 3

Step-by-step explanation:

The slope of the horizontal line is zero

The equation of the horizontal line passes through the point (a, b) is y = b

All the points on the horizontal line have the same y-coordinates

The slope of the vertical line is undefined

The equation of the vertical line passes through the point (a, b) is x = a

All the points on the vertical line have the same x-coordinates

Let us solve the question

∵ The line has an undefined slope

∴ The line is a vertical line

∵ The equation of the vertical line is x = a, where a is the x-coordinate

of any point on the line

∵ The line passes through the point (3, 4)

∴ a = 3

∴ The equation of the line is x = 3

The equation of the line that passes through the point (3,4) and has an undefined slope is x = 3

5 0

3 years ago

Is 10y^4 -3y^2+11 a polynomial? If yes what kind?

nikklg [1K]

it is a type of trinomial polynomial because it contains 3 terms with fundamental signs. 

hope it helps you

5 0

3 years ago

Read 2 more answers