Answer:
x = 2.81 and 2.096
Step-by-step explanation:
Given the expression
10(2^x) + 7(3^x) = 6^x + 70
This can also be expressed as;
10(2^x) + 7(3^x) = (2*3)^x + 70
10(2^x) + 7(3^x) = 2^x*3^x + 70
Let a = 2^x and b = 3^x
10a + 7b = ab + 70
10a + 7b - ab = 70
10a-ab + 7b - 70 = 0
a(10-b)+7(b-10) = 0
a(10-b)-7(10-b) = 0
a-7 = 0 and 10-b = 0
a = 7 and b = 10
Since a = 2^x
7 = 2^x
log 7 = log2^x
log7 = xlog2
x = log7/log2
x = 2.81
Similarly
10 = 3^x
log 10 = log 3^x
log 10 = xlog3
x = log 10/log 3
x = 1/0.4771
x = 2.096
Hence the values of x that satisfies the equation are 2.81 and 2.096
Mode means ‘most often number’ .
The most often numbers are:
20 and 16
Reason:
20 is shown 3 times.
16 is shown 3 times.
19 is shown 2 times.
18 is shown once.
So, the two most occurring/often numbers are 20 and 16.
Give this answer Brainliest!
Letter D it’s incorrect, not sure tho
Answer:
2,000 miles
Step-by-step explanation:
We are given:
This can be rewritten as:
This is representative of a unit rate, as we have a 
in the denominator. To calculate the number of miles in 
inches, simply multiply the unit rate by :
This can rewritten as:
Therefore, there are 2,000 miles in 4 inches.
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We can check our solution by simplifying the fraction by dividing both 
and by to see if we achieve the unit rate:
Since this is in fact the unit rate, our solution is correct!
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