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2 years ago

Simplify each expression involving signed numbers.

Mathematics

2 answers:

7nadin3 [17]2 years ago

3 0

Answer:

-7 - 2 = -9 (combine the numbers,simplify)

12 + (-4) = 8 (Simplify the Expression)

-8(-6) = 48 (Simplify the Expression)

18/-3 = -6 ( Simplify the Expression)

Hope this helps :)

daser333 [38]2 years ago

3 0

Answer:

Step-by-step explanation:

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What does m represent in the equation y = mx + b?

dexar [7]

Answer:

B. the slope of the graph of y = mx + b

Step-by-step explanation:

m is the slope.

y is the y value

x is the x value

b is the y intercept

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A bag contains 5 blue, 3 red, 6 green, 9 orange, and 20 black marbles. What is the ratio of the number of blue marbles to the nu

barxatty [35]

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Step-by-step explanation:

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What are the coordinates of point B on \overline{AC} such that AB = 1/2 BC

marta [7]

Answer:

C. $B(x,y) = \left(3,-\frac{16}{3} \right)$

Step-by-step explanation:

Let $A(x,y) = (6,-7)$ , $B(x,y) = (x,y)$ and $C(x,y) = (-3,-2)$ . From statement we know that $AB = \frac{1}{2}\cdot BC$ , which is equivalent to the following linear algebraic formula:

$B(x,y) -A(x,y) = \frac{1}{2}\cdot [C(x,y)-B(x,y)]$ (1)

$B(x,y)-A(x,y) = \frac{1}{2}\cdot C(x,y)-\frac{1}{2}\cdot B(x,y)$

$\frac{3}{2}\cdot B(x,y) = \frac{1}{2}\cdot C(x,y)+A(x,y)$

$B(x,y) = \frac{1}{3}\cdot C(x,y) +\frac{2}{3}\cdot A(x,y)$ (2)

Then, the coordinates of point B on AC are:

$B(x,y) = \frac{1}{3}\cdot (-3,-2)+\frac{2}{3}\cdot (6,-7)$

$B(x,y) = \left(-1, -\frac{2}{3}\right)+\left(4, -\frac{14}{3} \right)$

$B(x,y) = \left(3,-\frac{16}{3} \right)$

Which means that correct answer is C.

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3 years ago

Write the explicit formula that represents the geometric sequence-2, 8, -32, 128

maks197457 [2]

Well, since we know is a geometric sequence, we can always get the common ratio of it by simply dividing one value by the one behind it... so let's do so, with say hmm -32 and 8 -32/8 = -4 <-- our common ratio

the first term is -2

$\bf n^{th}\textit{ term of a geometric sequence}\\\\
a_n=a_1\cdot r^{n-1}\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
----------\\
a_1=-2\\
r=-4
\end{cases}\implies a_n=-2(-4)^{n-1}$

4 0

3 years ago

Find the equation of the line that is parallel to the

zepelin [54]

9514 1404 393

Answer:

y = -x -12

Step-by-step explanation:

The slope of the line you want is the same as the slope of the line you have: -1. Then the point-slope equation of the line is ...

y -k = m(x -h) . . . . . . line of slope m through point (h, k)

y -(-7) = -1(x -(-5))

y = -x -5 -7 . . . . subtract 7, eliminate parentheses

y = -x -12 . . . slope-intercept equation

6 0

3 years ago