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3 years ago

Simplify the monomial (Please show work) (2ab^2)(4a^2b^3) - (10a^3b)(6b^4)

Mathematics

1 answer:

Lelechka [254]3 years ago

7 0

The answer should be −52a^3 b^5

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The tables represent two linear functions in a system,

Alenkasestr [34]

Answer:

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

m - slope

b - y-intercept

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

First table:

(-4, 26), (0, 10) → b = 10

$m=\dfrac{10-26}{0-(-4)}=\dfrac{-16}{4}=-4$

$\boxed{y=-4x+10}$

Second table:

(-4, 14), (0, 2) → b = 2

$m=\dfrac{2-14}{0-(-4)}=\dfrac{-12}{4}=-3$

$\boxed{y=-3x+2}$

We have the system of equations:

$\left\{\begin{array}{ccc}y=-4x+10&(1)\\y=-3x+2&(2)\end{array}\right\\\\\text{Put (1) to (2):}\\\\-4x+10=-3x+2\qquad\text{subtract 10 from both sides}\\-4x=-3x-8\qquad\text{add 3x to both sides}\\-x=-8\qquad\text{change the signs}\\x=8\\\\\text{Put the value of x to (2):}\\\\y=-3(8)+2\\y=-24+2\\y=-22$

5 0

3 years ago

Because ?ABC and ?CBD both have a right angle, and the same angle B is in both triangles, the triangles must be similar by AA. L

gavmur [86]

Answer:

C i took that test unless u have to write it out

Step-by-step explanation:

3 0

3 years ago

What does an outlier mean in math?

Tpy6a [65]

A data point that is insignificantly larger or smaller than other values. for example...
2 3 6 1 129, 129 is an outlier because it is insignificantly larger than the others

7 0

3 years ago

What is the product of (2p + 7)(3p2 + 4p – 3)?

Margaret [11]

6p^3+29p^2+22p-21 i believe!

3 0

3 years ago

Mary creates a table of values for a function and plots the points. She finds that the difference in the y values is the same. W

gladu [14]

Answer:

Answer is: A(Linear)

Step-by-step explanation:

A linear function is a function whose graph is a straight line.

It is given that Mary plotted a graph and she found out that the difference in the y values is the same. So such a thing could happen when a function is a linear function.

since, a linear equation is given as:

$y=ax+b$ where a and b are real numbers.