2 years ago

If y ∝ 1∕x and y = –2 when x = 14, find the equation that connects x and y.

Mathematics

1 answer:

crimeas [40]2 years ago

8 0

C. y= -28/x

y=k/x

cross multiply

k= y×x

k = -2×14

k = -28

y = -28/x [ equation connecting x and y]

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What are the explicit equation and domain for an arithmetic sequence with a first term of 8 and a second term of 5? 20 pts.

fgiga [73]

ANSWER

$a_n = 11 - 3n$

EXPLANATION

The explicit rule for an arithmetic sequence is given by:

$a_n = a_1 + d(n - 1)$

It was given that:

$a_1 = 8$

and

$a_2 = 3$

The common difference is

$d = 5 - 8 = - 3$

We plug in the values into the explicit formula to get,

$a_n = 8+ - 3(n - 1)$

Expand to get,

$a_n = 8 - 3n + 3$

The explicit rule is

$a_n = 11 - 3n$

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2 years ago

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2 years ago

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John has 48 square centimeter tiles he wants to use to create a mosaic. He wants the mosaic to be rectangular with a length that

soldi70 [24.7K]

I found the missing choices. These are:
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Area of a rectangle = length * width
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Area of a rectangle = (w+2) * w

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2 years ago

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The total height of the Statue of Liberty and its pedestal is 153 feet more than the height of the statue. Write and solve an eq

horsena [70]

Answer:

The height of the statue is 152 feet

Step-by-step explanation:

The complete question is :

The total height of the Statue of Liberty and its pedestal is 305 feet. This is 153 more than the height of the statue. Write and solve an equation to find the height h (in feet) of the statue.

Let

h ----> the height of the statue in feet

p ---> the height of the pedestal in feet

we know that

$h+p=305$ ----> equation A