$log(x + y) = log3 + \frac{1}{2} logx+ \frac{1}{2} logy \\ \\ log(x + y) = log3 + logx ^{\frac{1}{2}} + logy ^{\frac{1}{2}}\\ \\ log(x + y) = log3 + log(xy) ^{\frac{1}{2}} \\ \\ log(x + y) = log[3(xy) ^{\frac{1}{2}}] \\ \\ x + y = 3(xy) ^{\frac{1}{2}} \\ \\ squaring \: both \: sides \\ {(x + y)}^{2} = \bigg(3(xy) ^{\frac{1}{2}} \bigg)^{2} \\ \\ {x}^{2} + {y}^{2} + 2xy = 9xy \\ \\ {x}^{2} + {y}^{2} = 9xy - 2xy \\ \\ \purple{ \bold{{x}^{2} + {y}^{2} = 7xy}} \\ thus \: proved$

7 0

3 years ago

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Convert 72°F to °C (to the nearest tenth) using one of the following formulas: F = 9/5xC + 32 or C = (F - 32) x 5/9.

Fudgin [204]

First set up the equation:
$C=(F-32)\times\frac{5}{9}$
Then substitute in known values:
$C=(72-32)\times\frac{5}{9}$
and solve for C
$C=40\times\frac{5}{9}$
$C=22.22$

8 0

3 years ago

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PLS HELP ILL MARK BRAINLIEST 5.)A farmer sells carrots and cucumbers together in a basket. The ratio of carrots to cucumbers is

kobusy [5.1K]

Answer:

53 cucumbers and 45 carrots

Step-by-step explanation:

I HOPE I HELPED!

if I did maybe I could get brainlist? :)

5 0

3 years ago

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Given the functions f(x) = 2x + 5 and g(x) = x2 + 8, which of the following functions represents f(g(x)] correctly?

lakkis [162]

Answer:

Choice 4.

Step-by-step explanation:

f(g(x))

Replace g(x) with x^2+8 since g(x)=x^2+8.

f(g(x))

f(x^2+8)

Replace old input,x, in f with new input, (x^2+8).

f(g(x))

f(x^2+8)

2(x^2+8)+5

Distribute:

f(g(x))

f(x^2+8)

2(x^2+8)+5

2x^2+16+5

Combine like terms:

f(g(x))

f(x^2+8)

2(x^2+8)+5

2x^2+16+5

2x^2+21

7 0

3 years ago