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4 years ago

Please help me with this question

Mathematics

1 answer:

lara31 [8.8K]4 years ago

5 0

Answer:

ghghjhjghjghghjghghj

Step-by-step explanation:

jghjghjghjghj

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1.Find the constant of variation for the relationship f(x)= 30x. A.10 B.30 C.x D.f(x)

melomori [17]

$(1)\\ f(x)=30x\ \ \ \Leftrightarrow\ \ \ \frac{f(x)}{x} =30\ \ \ \Rightarrow\ \ \ constant=30\ \ \ \Rightarrow\ \ \ Ans.\ B.\\\\(2)\\consatnt= \frac{y}{x} = \frac{4}{1} =4\ \ \ \Rightarrow\ \ \ Ans.\ D.\\\\(3)\\f(x)=m\cdot x\ \ \ and\ \ \ f(6)=8\\\\m\cdot6=8\ \ \ \Rightarrow\ \ \ m= \frac{8}{6} = \frac{4}{3} \ \ \ \Rightarrow\ \ \ y= \frac{4}{3}x\ \ \ \ Ans.\ (?)$

$(4)\\f(x)=m\cdot x\ \ and\ \ f(8)=56\\\\m\cdot8=56\ \ \Leftrightarrow\ \ m= \frac{56}{8} =7\ \ \Rightarrow\ \ \ f(x)=7x\ \ \ \Rightarrow\ \ \ f(2)=7\cdot2=14\\\\Ans.\ D.\\\\(5)\\direct:\ \ y=m\cdot x\ \ \ and\ \ \ m\in R\\e.g.:\ \ y=2x,\ \ y=0.5x,\ \ y= \frac{x}{7}= \frac{1}{7}x,\ ...\\\\NOT\ direct:\ \ \ e.g.:\ \ y= \sqrt{x} ,\ \ y= \frac{1}{x},\ \ y=x^2,\ ...$

4 0

3 years ago

Read 2 more answers

You deposited $4500 dollars in a savings account that earns a simple interest rate. What interest rate do you need to be paid, i

irina [24]

5445 = 4500 i * 7
5445 = 31500i
i = 5445/31,500
i = 0.1729

i = 17.29%

7 0

3 years ago

What is the value of x in the proportion (x-1)/5=(4x+2)/35

neonofarm [45]

(x-1)/5 = (4x + 2)/35

lets start off by multiplying each side by 5

(x-1) = 5(4x + 2)/35

then let's multiply both sides by 35

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

now let's distribute the coefficients (5 and 35) into everything in the brackets

35 times x is 35x
35 rimes 1 is 35

5 times 4x is 20x
5 times 2 is 10

(35x - 35) = (20x + 10)

we can add 35 to both sides

35x = 20x + 45

then subtract 20x on both sides

15x = 45

then divide both sides by 15

x = 3

4 0

3 years ago

If C(x) is the cost of producing x units of a commodity, then the average cost per unit is c(x) = C(x)/x. Consider the cost func

olga2289 [7]

Answer:

a. C(1,000) = 420,491.11

b. c(1,000) = 420.49

c. dC/dx(1,000) = 429.72

d. x = 900

e. c(900) = 420

Step-by-step explanation:

We have a cost function for x units written as:

$C(x) = 54,000 + 240x + 4x^{3/2}$

a. The total cost for x=1000 units is:

$C(1,000) = 54,000 + 240(1,000) + 4(1,000)^{3/2}\\\\C(1,000)=54,000+240,000+4\cdot 31,622.78\\\\C(1,000)=54,000+240,000+ 126,491.11 \\\\C(1,000)= 420,491.11$

b. The average cost c(x) can be calculated dividing the total cost by the amount of units:

$c(1,000)=\dfrac{C(1,000)}{1,000}=\dfrac{ 420,491.11 }{1,000}= 420.49$

c. The marginal cost can be calculated as the first derivative of the cost function:

$\dfrac{dC}{dx}=240(1)+4(3/2)x^{3/2-1}=240+6x^{1/2}\\\\\\\dfrac{dC}{dx}(1,000)=240+6(1,000)^{1/2}=240+6\cdot 31.62=429.72$

d. This value for x, that minimizes the average cost, happens when the first derivative of the average cost is equal to 0.

$c(x)=\dfrac{C(x)}{x}=\dfrac{54,000+240x+4x^{3/2}}{x}=54,000x^{-1}+240+4x^{1/2}\\\\\\ \dfrac{dc}{dx}=54,000(-1)x^{-2}+0+4(1/2)x^{-1/2}=0\\\\\\\dfrac{dc}{dx}=-54,000x^{-2}+2x^{-1/2}=0\\\\\\2x^{-1/2}=54,000x^{-2}\\\\\\x^{-1/2+2}=54,000/2=27,000\\\\\\x^{3/2}=27,000\\\\\\x=27,000^{2/3}=900$

e. The minimum average cost is:

$c(900)=54,000(900)^{-1}+240+4(900)^{1/2}\\\\c(900)=60+240+120\\\\c(900)=420$

7 0

3 years ago

What restriction is there on the value under the square root symbol? In other words, what can’t you do with a square root expres

Mkey [24]

Answer:You cannot take the square root of a negative number

Step-by-step explanation:

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3 years ago