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LuckyWell [14K]
2 years ago
6

Given the function, d(t) = 50t, the variable t represents which of the following? Select all that apply. input output function i

ndependent variable dependent variable
Mathematics
2 answers:
tangare [24]2 years ago
7 0

Answer:

Independent variable

Step-by-step explanation:

Given is a function

d(t) = 50t

We have to find the independent and dependent variable in this equation

In scientific analysis, the independent variable is one which is changed to get some results for tests.  Dependent variable is one which changes according to changes in independent variable

Here we find the term t is independent as it can be changed independently and d(t) can be analysed for various values of t

Thus the dependent variable d(t) a function of t is tested for various values of independent variable t.

Nikitich [7]2 years ago
5 0

Answer:

Input

Independent variable

Step-by-step explanation:

we know that

<u>Independent variables</u>, are the values that can be changed or controlled in a given model or equation

<u>Dependent variables</u>, are the values that result from the independent variables

we have the function

d(t)=50t

In this problem

This is a proportional relationship between the variables d and t

The function d(t) represent the dependent variable or the output

The variable t represent the independent variable or input

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The graph shows the result of a matrix transformation, where the pre-image has dashed lines Which matrix operation is represente
diamong [38]

The <em>matrix operation</em> is the <em>addition subtraction </em>and <em>multiplication </em>involving matrices.  The coordinates of the <em>image </em>can be represented as a matrix obtained from the coordinates of the <em>preimage </em>through matrix operations

The best correct option is<u> option D)</u>,<em> (the y-coordinate for the point (8, -7) is to be replaced with a 7 to give (7, -7) as follows</em>:

\left[\begin{array}{rrrr}1&0\\0&-1\end{array}\right] \left[\begin{array}{rrrr}9&7&3&2\\-3&-7&-7&-5\end{array}\right]

The reason the above matrix value for the matrix operation are correct are as follows:

Known parameters:

From the diagram, we have that the <em>coordinates</em> of the vertices of the preimage are;

(2, -5), (3, -7), (9, -3), and (7, -7)

The <em>coordinates </em>of the vertices of the image are;

(2, 5), (3, 7), (9, 3), and (7, 7)

Required:

The matrix operation for the transformation of the preimage points to the image points

Solution:

The transformation from the coordinates of the vertices of primage to the  vertices of image involves the change in the sign from negative to positive, of the y-values of the image, which can be obtained by <em>multiplying by</em> (-1)

Therefore, the required matrix operation is presented as follows:

\mathbf{\left[\begin{array}{rrrr}1&0\\0&-1\end{array}\right] \left[\begin{array}{rrrr}9&7&3&2\\-3&-7&-7&-5\end{array}\right]} =\left[\begin{array}{rrrr}9&7&3&2\\3&7&7&5\end{array}\right]

Therefore, the <em>best correct</em> option is option D)

Learn more about matrix operations here:

brainly.com/question/17141646

3 0
3 years ago
One number is larger than another by 9. If the greater number is increased by 10, and the lesser number is tripled, the sum of t
kkurt [141]

Answer:

The larger number is -6, the smaller number is -15

Step-by-step explanation:

We have two numbers, a and b.

We know that one number is larger than another by 9.

Then we can write:

a = b + 9

then a is larger than b by 9 units.

If the greater number is increased by 10 (a + 10) and the lesser number is tripled (3*b), the sum of the two would be -41:

(a + 10) + 3*b = -41

So we got two equations:

a = b + 9

(a + 10) + 3*b = -41

This is a system of equations.

One way to solve this is first isolate one variable in one of the two equations:

But we can see that the variable "a" is already isolated in the first equation, so we have:

a = b + 9

now we can replace that in the other equation:

(a + 10) + 3*b = -41

(b + 9) + 10 + 3*b = -41

now we can solve this for b.

9 + b + 10 + 3b = -41

(9 + 10) + (3b + b) = -41

19 + 4b = -41

4b = -41 -19 = -60

b = -60/4 = -15

b = -15

then:

a = b + 9

a = -15 + 9 = -6

a = -6

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2 years ago
Yoshi multiplied -6.2 by -0.14. His result was -0.868. Which statement likely describes the error he made in his calculation?
Digiron [165]

Step-by-step explanation:

The answer is letter B. Negative and Negative is Positive.

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The solution to 5x - 7 = 21?
lapo4ka [179]

Answer:

x = 5.6

Step-by-step explanation:

5x - 7 = 21

5x = 28

x = 5.6

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sukhopar [10]

Answer:

Step-by-step explanation:

Well, we can divide 399 and 75 so it would be 5.32. Round that and it would be about 5 items per page

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