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3 years ago

Given f(x)=2x, if (x)=14, find x

Mathematics

1 answer:

Nostrana [21]3 years ago

3 0

Given f(x)=2x, if (x)=14, find x

x=3

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An opera house has a seating capacity of 872 people with each ticket costing 50 Rupees .If the opera house is running for 15 day

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Answer:

654000 Rupees

Step-by-step explanation:

If we assume that the opera house was full every day then it would be 872 x 50 for the price of 1 day

872 x 50 = 43600

We multiple that number by the amount of days open so is would be 43600 x 15

43600 x 15 = 654000

Therefore it will make 654000 Rupees

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3 years ago

Jim is able to sell a hand-carved statue for $670 which was a 35% profit over his cost. How much did the statue originally cost

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3 years ago

Two pizza delivery drivers compared the mean numbers of deliveries they completed in one day.

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The mean number of deliveries for driver A is less then the mean for driver B by 3 MADs.

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2 years ago

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Simplify (Are all division) 2+4i 3i 3+2i 4+i 2i^11

Alla [95]

$We\ know:\ i=\sqrt{-1}\to i^2=-1$

$\dfrac{2+4i}{3i}=\dfrac{2+4i}{3i}\cdot\dfrac{3i}{3i}=\dfrac{6i+12i^2}{9i^2}=\dfrac{6i+12(-1)}{9(-1)}\\\\=\dfrac{6i-12}{-9}=\dfrac{2i-4}{-3}=\dfrac{4}{3}-\dfrac{2}{3}i$

$\dfrac{3+2i}{4+i}=\dfrac{3+2i}{4+i}\cdot\dfrac{4-i}{4-i}=\dfrac{(3+2i)(4-i)}{4^2-i^2}\\\\=\dfrac{(3)(4)+(3)(-i)+(2i)(4)+(2i)(-i)}{16-(-1)}=\dfrac{12-3i+8i-2i^2}{16+1}\\\\=\dfrac{12+5i-2(-1)}{17}=\dfrac{12+5i+2}{17}=\dfrac{14+5i}{17}=\dfrac{14}{17}+\dfrac{5}{17}i$

$2i^{11}=2i^{10+1}=2i^{10}i^1=2i^{2\cdot5}i=2i(i^2)^5=2i(-1)^5=2i(-1)=-2i$

$Used:\ (a+b)(a-b)=a^2-b^2$

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3 years ago

4x + y = 10 7x + 2y = 17

Nezavi [6.7K]

Answer:

x = 3, y = - 2

Step-by-step explanation:

By substitution method,

4x + y = 10 -------> equation 1.

7x + 2y = 17 -------> equation 2.

From equation 1,

y = 10 - 4x ------> equation 3.

Substitute equation 3 in 2,

7x + 2 ( 10 - 4x ) = 17

7x + 20 - 8x = 17

7x - 8x = 17 - 20

- x = - 3

x = 3

Substitute x = 3 in equation 1,

4 ( 3 ) + y = 10

12 + y = 10

y = 10 - 12

y = - 2

Hence,

x = 3

y = - 2

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2 years ago

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