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marishachu [46]
2 years ago
12

If √x-5 varies directly as y and x=30 when y= 2, find the value of x when y=8.​

Mathematics
1 answer:
Usimov [2.4K]2 years ago
7 0

Answer:

let,

√x-5=ky

x=30 when y=2

√30-5=2k

or, k=(√30-5)/2

now, when y=8

√x-5=8×(√30-5)/2

or, √x-5=4√30-20

or, √x=4√30-15

or, x=(4√30-15)²

or, x=47.73..

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Rewriting the question, the given lengths that were cut from the board were 30 3/4 inches, 12 1/4 inches, and 16 1/4 inches. To obtain the remaining length of the board, all of the measurements cut are to be added and subtracted from 72 inches. This is shown below:

30 3/4 + 12 1/4 + 16 1/4 = 237/4 = 59.25 inches.

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3 years ago
I WILL GIVE A BRANLIEST!<br>What is the graph of the functions?<br> y=2*2^x<br> y=-2*5^x
tekilochka [14]
For this case what you should know is that both functions are of the potential type.
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4 0
3 years ago
A study conducted to determine the relationship between the age, x, in years of a certain brand of motorcycle and its value, y,
kirza4 [7]

Based on the equation, y = -750·x + 8500, the estimated value of a

motorcycle that is 5 years old is <u>$4,750</u>.

<h3>How can the given equation help to estimate the value of the motorcycle?</h3>

The regression equation that models the data is; y = -750·x + 8500

Where;

y = The value of the brand of motorcycle in dollars

x = The age of the motorcycle

When the motorcycle is 5 years old, we have;

x = 5

y = -750 × 5 + 8500 = 4750

Based on the equation, the estimated value of a motorcycle that is 5 years old, y =<u> $4,750</u>

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4 0
2 years ago
An adult takes 800 mg of ibuprofen. Each hour, the amount of ibuprofen in the person's
ss7ja [257]

Answer:

116.31468544 mg ibuprofen left

Step-by-step explanation:

Since there are 800 mg at the beginning and the system decreases by about 32% of the ibuprofen

After 1 hour

→ 800 - (800x32/100) = 800 - 256 = 544 mg ibuprofen left

After 2 hours

→ 544 - (544x32/100) = 544 - 174.08 = 369.92 mg ibuprofen left

After 3 hours

→ 369.92 - (369.92x32/100) = 369.92 - 118.3744 = 251.5456 mg ibuprofen left

After 4 hours

→ 251.5456 - (251.5456x32/100) = 251.5456 - 80.494592 = 171.051008 mg ibuprofen left

After 5 hours

→ 171.051008 - (171.051008x32/100) = 171.051008 - 54.73632256 = 116.31468544 mg ibuprofen left

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please can someone help me with this question? i will mark brainliest and i would also really appreciate it! :)
Sloan [31]

Answer:

y ≤ 3x- 1

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8 0
2 years ago
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