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Colt1911 [192]
3 years ago
12

HELP!!!! PLEASE I NEED HELP!!!!

Mathematics
1 answer:
NNADVOKAT [17]3 years ago
8 0

for the first one it is the second option because of one property of logarithms:

log(a)-log(b)=log\frac{a}{b}

for the second one using the same property we can say that we third option is correct and not the second one but we use one more property of the logarithm

loga(b)^x=xloga(b) the power of the logarithm becomes a fator and \sqrt[3]{x} is equal to x^{\frac{1}{3}}

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11 0ver 54

Step-by-step explanation:

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Solve for x: 2/5=4/x
pickupchik [31]
The answer is 10


Explanation: First you cross-multiply to get 2x=20 and then divide by 2 to get x=10
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What is the center of the circle shown below​
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A concession stand at an athletic event is trying to determine how much to sell cola and iced tea for in order to maximize reven
Cerrena [4.2K]

Solution :

Demand for cola : 100 – 34x + 5y

Demand for cola : 50 + 3x – 16y

Therefore, total revenue :

x(100 – 34x + 5y) + y(50 + 3x – 16y)

R(x,y)  = $100x-34x^2+5xy+50y+3xy-16y^2$

$R(x,y) = 100x-34x^2+8xy+50y-16y^2$

In order to maximize the revenue, set

$R_x=0, \ \ \ R_y=0$

$R_x=\frac{dR }{dx} = 100-68x+8y$

$R_x=0$

$68x-8y=100$  .............(i)

$R_y=\frac{dR }{dx} = 50-32x+8y$

$R_y=0$

$8x-32y=-50$  .............(ii)

Solving (i) and (ii),

4 x (i)    ⇒       272x - 32y = 400

     (ii)   ⇒   (-<u>)     8x - 32y = -50   </u>

                        264x        = 450

∴   $x=\frac{450}{264}=\frac{75}{44}$

     $y=\frac{175}{88}$

So, x ≈  $ 1.70      and    y = $ 1.99

    R(1.70, 1.99) = $ 134.94

Thus, 1.70 dollars per cola

          1.99 dollars per iced ted to maximize the revenue.

Maximum revenue = $ 134.94

4 0
3 years ago
6. Multiply: (x – 4)(x + 5)
igor_vitrenko [27]

\mathbb{PROBLEM}

==========================================

\tt{6. Multiply:}{ ( \times  - 4)(x + 5)}

==========================================

\mathbb{ANSWER}

\tt{option. \: (d) \:  \times 2   +  \times  - 20}

==========================================

\mathbb{SOLUTION}

\:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \tt{( \times  - 4)( \times  + 5)}

\:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   \tt= x(x + 5) -4(x + 5)

\:  \:   \:  \: \:  \:   \:  \: \:  \:  \:  \:  \:  \tt{ =  \times 2  +  5 \times  - 4 \times  - 20.}

\:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \tt\underline \red{=  \: x2 + x - 20.}

\tt{Answe r  \: is \:  Option  \: (d)}

┌─────── ∘°❁°∘ ───────┐

︎ CarryOnLearning ૮₍˶ᵔ ᵕ ᵔ˶₎ა

︎︎└─────── °∘❁∘° ───────┘

3 0
2 years ago
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