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3 years ago

Provide explanation too please !

Mathematics

1 answer:

kupik [55]3 years ago

4 0

1 hour is 60 minutes

6 hours x 60 = 360 total minutes

Divide total time by number of lessons:

360/8 = 45

Each lesson was 45 minutes

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What is the end behavior of a function that is a fraction whose polynomial numerator has a power degree than its polynomial deno

melamori03 [73]

End behavior of a polynomial function is based on the degree of the function and the sign of the leading coefficient.

Sign of the Leading Coefficient determines behavior of right side:

Positive: right side goes to positive infinity
Negative: right side goes to negative infinity

Degree of the function determines the behavior of the left side:

Odd degree: left side is opposite direction of right side
Even degree: left side is same direction as right side

If you have an expression in the denominator, then you must divide the denominator into the numerator. The result will have a degree and a leading coefficient. Use the rules stated above to determine the end behavior.

For example:

y = $\frac{x^{2}+2x-3}{x-1}$

We can factor to get: y = $\frac{(x-1)(x+3)}{(x-1)}$

y = x + 3

Leading Coefficient of y = x + 3 is positive so right side goes to positive infinity.

Degree of y = x + 3 is odd so left side is opposite direction of right side, which means left side goes to negative infinity.

The denominator may not divide evenly into the numerator thus leaving a remainder, but that is ok. We can still use the rules stated above.

6 0

4 years ago

Use a matrix to find the coordinates of the endpoints or vertices of the image of each figure under the given reflection.

hjlf

The vertices of the original quadrilateral can be written in matrix form using the vertex matrix. The vertex matrix is
$\begin{pmatrix}-5&-1&-3&-7\\ 4&-1&-6&-3\end{pmatrix}$

To find the coordinates of the endpoints or vertices of the image of the given coordinate points reflected about the y-axis, we just need to multiply the transformation matrix by the vertex matrix. The transformation matrix for this particular problem is
$\begin{pmatrix}-1&0\\ 0&1\end{pmatrix}$

Multiplying the two matrices, we have
$\begin{pmatrix}-1&0\\ 0&1\end{pmatrix}\begin{pmatrix}-5&-1&-3&-7\\ 4&-1&-6&-3\end{pmatrix}=\begin{pmatrix}5&1&3&7\\ 4&-1&-6&-3\end{pmatrix}$

Therefore, the coordinates of the endpoints or vertices of the image are (5,4), (1,-1), (3, -6) and (7, -3).

7 0

3 years ago

What does r equal if -3(2r + 7) = 3

exis [7]

Answer:

r = -4

Step-by-step explanation:

2r + 7 = - 1

2r = - 1 - 7

2r = - 8

7 0

3 years ago

Read 2 more answers

Y-intercept:( , ) x-intercept:( , )

kvasek [131]

Y-intercept is (0,-0.7)
x-intercept is (-1.2,0)

4 0

3 years ago

28 + 2A = 5A + 7 Please explain thank you!

Vinvika [58]

First you need to get x on one side of the equation and to do that subtract 2a from both sides.
28 + 2a = 5a + 7
-2a -2a
28=3a+7

Then we need to get a alone by subtracting 7 on both sides.
28=3a+7
-7 -7
21=3a

Finally divide each side by 3 and you should get a = 7. Hope this helps!

3 0

3 years ago