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Amanda [17]
3 years ago
14

2 Points

Mathematics
1 answer:
In-s [12.5K]3 years ago
8 0

Answer:

D. -3

Step-by-step explanation:

The table is:

x  |  y

-5 | 23

-2 | 14

 1 | 5

To find the slope, you need two points (x1, y1) and (x2, y2) and the next formula:

slope = (y2 - y1)/(x2 - x1)

Using (-2, 14) and (1, 5) (other combinations are also possible) the slope is:

slope = (5 - 14)/(1 - (-2)) = -3

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0.6\ of\ 120\ is\\\\0.6\cdot120=6\cdot12=72\leftarrow Answer
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3 years ago
Rationalize the denominator of square root of negative 9 over open parentheses 4 minus 7 i close parentheses minus open parenthe
AlekseyPX
The answer is
\frac{-6i-3}{5}.

Before we rationalize the denominator, we must simplify the numerator and denominator.  We evaluate the square root on the top, and combine like terms on the bottom:
\frac{\sqrt{-9}}{(4-7i)-(6-6i)}
\\
\\=\frac{\sqrt{9i^2}}{4-6-7i--6i}
\\
\\=\frac{3i}{-2-i}

To rationalize the denominator, we multiply by the conjugate.  The conjugate is found by making the imaginary term of the complex number, the i part, the opposite sign.  The conjugate of -2-i is -2+i:

\frac{3i}{-2-i}\times \frac{-2+i}{-2+i}
\\
\\=\frac{3i(-2+i)}{(-2-i)(-2+i)}
\\
\\=\frac{3i\times -2 + 3i\times i}{-2\times -2 + -2\times i + -2\times -i + -i\times i}
\\
\\=\frac{-6i+3i^2}{4-2i+2i-i^2}
\\
\\=\frac{-6i+3(-1)}{4-i^2}=\frac{-6i-3}{4-(-1)}=\frac{-6i-3}{5}
7 0
3 years ago
Mr. Lee bought rock to landscape around his house. He paid $190.72 for 8 tons of rock. How much did each ton cost?
frez [133]

Answer:

the correct answer I's 23.84

Step-by-step explanation:

I dividedc190.72 by 8

6 0
3 years ago
The expression 24(1−x) gives the discounted price of a pair of shorts, where x is the percent of the discount written in decimal
kap26 [50]

Answer:

(See explanation for further details).

Step-by-step explanation:

(1-x) represents the portion of the price that remains after applying the discount.

7 0
3 years ago
The instructions on your aspirin bottle say take two 200-milligram aspirin. How many grams is the total dose?
REY [17]

Answer:

[see below]

Step-by-step explanation:

There are 0.001 grams in a milligram. (1,000 milligrams in a gram.)

\frac{200}{1000}=0.2

The total dose should be 0.2 grams.

Hope this helps.

7 0
3 years ago
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