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Tresset [83]
3 years ago
10

Simplify (2 x 3^-2)^3(5 x 3^2)^2/(3^-2)(5 x 2)^3

Mathematics
2 answers:
Maslowich3 years ago
8 0

Answer:

\frac{12x^2}{5}

Ronch [10]3 years ago
8 0
2 x 3^-2)^3(5 x 3^2)^2/(3^-2)(5 x 2)^3
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Please help! I need to tell whether x and y are in a proportional relationship and I need to write an equation that represents t
Alexeev081 [22]

Answer:

It is a proportional relationship

Step-by-step explanation:

To see if multiple ratios are proportional, you could write them as fractions, reduce them, and compare them. If the reduced fractions are all the same, then you have proportional ratios.The equation that represents a proportional relationship, or a line, is y=kx, where k is the constant of proportionality.

Hope this helps

the constant of proportionality is 2

7 0
3 years ago
Triangle ABC has vertices at A(−3, 4), B(4, −2), C(8, 3). The triangle is translated 4 units down and 3 units left. Which rule r
crimeas [40]

Option C: (x, y) \rightarrow(x-3, y-4) ; (5,-1) is the coordinates of C after translation.

Explanation:

The triangle ABC has vertices at A(−3, 4), B(4, −2), C(8, 3).

Also, given that the triangle is translated 4 units down and 3 units left.

We need to determine the coordinates of the vertex C after translation.

The triangle is shifted 4 units down means subtracting 4 units from the y - coordinate of the graph.

Thus, it can be written as y-4

Also, the triangle is shifted 3 units left means subtracting 3 units from the x - coordinate of the graph.

Thus, it can be written as x-3

Thus, the translation is given by

(x, y) \rightarrow(x-3, y-4)

The vertices of C after translation can be determined by

(8, 3) \rightarrow(8-3, 3-4)\implies (5,-1)

Thus, (x, y) \rightarrow(x-3, y-4) ; (5,-1) is the coordinates of C after translation.

Hence, Option C is the correct answer.

3 0
3 years ago
Read 2 more answers
The following scatter plot shows the data for NCAA quarterbacks comparing their attempted passes to completed passes.
Elanso [62]

The line of the best fit is shown in the picture which is approximate near the dots.

<h3>What is the line of best fit?</h3>

A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.

The slope and y-intercept can be found using the formula below:

\rm m = \dfrac{n\sum xy-\sum x \sum y}{n\sum x^2 - (\sum x)^2} \\\\\rm c = \dfrac{\sum y -m \sum x}{n}

We have a given a scatter plot shows the data for NCAA quarterbacks comparing their attempted passes to completed passes.

We can draw a line of best fit y = mx + c

Thus, the line of the best fit is shown in the picture which is approximate near the dots.

Learn more about the line of best fit here:

brainly.com/question/14279419

#SPJ1

5 0
2 years ago
An open rectangular box with a square bottom must have a surface area of A square inches. Write a formula for the volume of the
skelet666 [1.2K]
The surface area of the box is being referred to as A
The surface area will be the sum of the four rectangular sides' areas and the base area.
Base area = x²
Rectangular side area = xh
A = x² + 4xh
Volume is, as you said,
V = x²h
Lets substitute h from the formula of A to obtain A in our final answer. Substituting x is possible, but more difficult
(A - x²)/4x = h
V = (x²) * (A - x²)/4x
V = (Ax - x³)/4

5 0
4 years ago
Read 2 more answers
Six friends order lunch. Write an expression that shows the total cost if each person orders on sandwich and one cookie.
vodka [1.7K]
4.75×6=28.5
6 cookies= 6x
The expression is 6x+28.5

8 0
4 years ago
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