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vodomira [7]
3 years ago
7

What is log squared with a base of 4 with the exponent (x^2+x) and the whole thing is equal to 0.25. Find the domain of x and fi

nd what x is equal to.
Mathematics
1 answer:
alexandr1967 [171]3 years ago
6 0

Answer:

X = 1 , -2

Step-by-step explanation:

Given in question as,

(log4(x² + x))² = 0.25

log4(x² + x) = 0.5

Applying log base property if      log(a)X = b,   then X =a^b

Or, x² + x = 4^0.5

     x² + x = 2

     x² + x - 2 = 0

     x²+2x-x-2 = 0

     (x + 2) (x - 1) = 0

So, x = 1 and -2   Answer

   

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3 years ago
At a corner gas​ station, the revenue R varies directly with the number g of gallons of gasoline sold. If the revenue is
vfiekz [6]
<span>At a corner gas station, the revenue R varies directly with the number g of gallons of gasoline sold. If the revenue is $44.50 when the number of gallons sold is 10, find a linear equation that relates revenue R to the number g of gallons of gasoline. Then find the revenue R when the number of gallons of gasoline sold is 15.5.

Solution:
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7 0
3 years ago
for a different punch recipe, the equation,s=4c represents the number of cups of seltzer,s, that you need for,c, cups of cranber
asambeis [7]

Answer:

4

Step-by-step explanation:

If two variables are proportional then

y\propto x

y=kx    ...(i)

where, k is constant of proportionality.

The given equation is

s=4c       ...(ii)

where,

s = number of cups of seltzer.

c = cups of cranberry juice.

On comparing (i) and (ii), we get

Independent variable: x=c

Dependent variable: y=s

Constant of proportionality: k=4

Therefore, the constant of proportionality is 4.

8 0
3 years ago
Simplify 24:30:12.<br> show working out and answer please
Naily [24]
First, you find the biggest number that you can divide 24, 30, and 12 by. I would go with 6, because it will simplify all the numbers into the simplest forms possible in this equation. Then, divide each number by 6.
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12/6= 2

The answer:
4 : 5 : 2

Hope I could be of help:)
3 0
3 years ago
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