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GrogVix [38]
2 years ago
9

Determine whether y varies directly with x, if so find the constant of variation

Mathematics
1 answer:
grigory [225]2 years ago
4 0

▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪

Yes, y varies directly with x,

constant of variation :

  • \dfrac{3 - 2}{ - 9 - ( - 6)}

  • \dfrac{1}{ - 3}

  • -   \dfrac{ 1}{3}

Equation will be :

  • y =   - \dfrac{ 1}{3} x

so, the Correct choice is b

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Find the domain of the rational expression: x-3/2x-8
miss Akunina [59]

Answer:

\huge\boxed{x\neq4\to x\in\mathbb{R}\backslash\{4\}}

Step-by-step explanation:

\dfrac{x-3}{2x-8}

We know: the denominator must be different than 0.

Therefore

2x-8\neq0        <em>add 8 to both sides</em>

2x-8+8\neq0+8

2x\neq8             <em>divide both sides by 2</em>

\dfrac{2x}{2}=\dfrac{8}{2}\\\\x\neq4

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3 0
3 years ago
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a fisherman catches 2 fish the amberjack weighs 3 times as much as the snapper,altogether the fish weigh 44 pounds how much does
Anna [14]

Because of the fact that the amberjack is essentially three snappers, it can be shown as 3s

since one snapper is one s, and the amberjack is 3s, we can combine like terms

s+3s = 4s

because altogether, the fish weigh 44 pounds, 4s would equal 44 (shown as 4s = 44), from there, simply divide by 4 on both sides to get the weight of a snapper;

s = 11

Small bonus (finding an amberjack)

Since an amberjack is equal to three snappers, and a snapper is 11 pounds, an amberjack would be 33 pounds.

8 0
3 years ago
Solve.<br><br> y = –4x + 10<br> y = –3x + 5
saw5 [17]
The answers in order are
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8 0
2 years ago
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5. Abbey Road Motors pays a percent commission to its sales people. They are paid
ira [324]

Answer:

c(p) = {0.2 p ⇒ p < 1000

           0.24 p - 40 ⇒ 1000 ≤ p ≤ 2000

           0.29 p - 140 ⇒ p > 2000}

Step-by-step explanation:

* Lets explain how to solve the problem

- The profit is represented by p

1. If the profit is under $1,000,  the commission rate is 20%

∵ The profit is p < 1000

∵ 20% of p = \frac{20}{100}*p = 0.2 p

∵ c(p) is the function of the commission

∴ c(p) = 0.2 p when p < 1000

2. If the profit is at least $1,000 and less than or equal to  $2,000, the

  commission rate is 20% of the first $1,000 and 24% of the remainder

  of  the profit

- At least means greater than or equal

∵ The profit 1000 ≤ p ≤ 2000

- The commission is divided into 20% of first $1000 and 24% of

  the reminder

∵ 20% of 1000 = \frac{20}{100}*1000 = 200

∵ The remainder of the profit = p - 1000

∵ 24% of the remainder profit = \frac{24}{100}*(p-1000)

  = 0.24(p - 1000) = 0.24 p - 240

∴ The total commission = 200 + 0.24 p - 240

∴ The total commission = 0.24 p - 40

∴ c(p) = 0.24 p - 40 when 1000 ≤ p ≤ 2000

3. If the profit is above $2,000, the rate is 20% of the first $1,000

   of profit,  24% of the next $1,000 of profit, and 29% of the amount

   of profit over $2,000

∵ The profit p > 2000

- The commission is divided into 20% of first $1000 and 24% of the

  next $1,000 of profit, and 29% of the amount of profit over $2,000

∵ 20% of 1000 = \frac{20}{100}*1000 = 200

∵ 24% of 1000 = \frac{24}{100}*1000 = 240

- The amount of profit over $2,000 = p - 2000

∵ 29% of the amount of profit over $2,000 =

   \frac{29}{100}*(p-2000) = 0.29(p - 2000)

   = 0.29 p - 580

∴ The total commission = 200 + 240 + 0.29 p - 580

∴ The total commission = 0.29 p - 140

∴ c(p) = 0.29 p - 140 when p > 2000

* The commission function is:

c(p) = {0.2 p ⇒ p < 1000

            0.24 p - 40 ⇒ 1000 ≤ p ≤ 2000

            0.29 p - 140 ⇒ p > 2000}

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2 years ago
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