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Taya2010 [7]
3 years ago
5

Which ordered pairs make the equation true?

Mathematics
1 answer:
Angelina_Jolie [31]3 years ago
6 0

Answer:

(-3, 1) and (2, -1)

Step-by-step explanation:

We'll just substitute in these coordinates.

<u>First Pair:</u>

2(-3) + 5(1) = -1

-6 + 5 = -1

-1 = -1

This works!

<u>Second Pair:</u>

2(5) + 5(-3) = -1

10 - 15 = -1

-5 ≠ -1

This does not work.

<u>Third Pair:</u>

2(2) + 5(-1) = -1

4 - 5  = -1

-1 = -1

This also works!

<u>Fourth Pair:</u>

2(-4) + 5(2) = -1

-8 + 10 = -1

2 ≠ -1

This does not work.

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Write the following inequality in slope-intercept form. 6x+2y≤-46
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Answer:


Step-by-step explanation:

y=mx+b

y less than or equal to -3x-23


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3 years ago
A geometric sequence is defined by the equation an = (3)3 − n.
Delvig [45]
PART A

The geometric sequence is defined by the equation

a_{n}=3^{3-n}

To find the first three terms, we put n=1,2,3

When n=1,

a_{1}=3^{3-1}

a_{1}=3^{2}

a_{1}=9
When n=2,

a_{2}=3^{3-2}
a_{2}=3^{1}

a_{2}=3

When n=3

a_{3}=3^{3-3}

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a_{1}=1
The first three terms are,

9,3,1

PART B

The common ratio can be found using any two consecutive terms.

The common ratio is given by,
r= \frac{a_{2}}{a_{1}}
r = \frac{3}{9}

r = \frac{1}{3}

PART C

To find
a_{11}

We substitute n=11 into the equation of the geometric sequence.

a_{11} = {3}^{3 - 11}

This implies that,

a_{11} = {3}^{ - 8}

a_{11} = \frac{1}{ {3}^{8} }

a_{11}=\frac{1}{6561}
4 0
3 years ago
What is the mode of the following numbers?<br> 3,5,6,7,9,6,8
otez555 [7]

Answer:

The mode would be 6

Step-by-step explanation:

The mode in mathematics refers to the number that appears the most frequently in the set of data. The number six is the only number that is shown twice, making it the mode.

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3 years ago
Circle A has an area of 25pi square units. Circle B has a radius that is 20% larger than Circle A. What is the area of Circle B?
SVEN [57.7K]

Answer:

Circle B area = 49π square units

Step-by-step explanation:

Circle A radius =√25 = 5 units

(1.2)(5) = 7 = radius circle B

Circle B area = 7²π = 49π square units

3 0
3 years ago
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