This is my answer. Check it
Helpp me please
1 answer:
Answer:
15 B
16 B
17 A
Step-by-step explanation:
A triangle is a figure with three sides.
Which can be re-written in the if-then form as If the figure is a triangle then it has three sides.
The elevator has a MAX capacity of 8 people. This means that only 8 or less people can be on the elevator at a time. If c = # of people then c must be less than or equal to 8 as the elevator has a max capacity of 8 people. Hence the mathematical statement would be c ≤ 8
When the inequality sign is facing the "y" the solutions to the set can be found above the line. This could also be checked by graphing.
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Answer:
-2.71
Step-by-step explanation:
This exponential equation can be solved by rewriting it so there is only one base, then using logarithms.
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<h3>solve for x</h3>2^x = 3^(x+1) . . . . . given
2^x = 3·3^x . . . . . . eliminate the constant in the exponent
(2/3)^x = 3 . . . . . . . divide by 3^x
x·log(2/3) = log(3) . . . . take logarithms
x = log(3)/log(2/3) ≈ -2.7095113
The value of x is about -2.71.
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<em>Alternate solution</em>
Taking logarithms transforms this exponential equation to a linear equation.
x·log(2) = (x +1)·log(3) . . . . take logs
x(log(2) -log(3)) = log(3) . . . . . . subtract x·log(3)
x = log(3)/(log(2) -log(3)) = log(3)/log(2/3) . . . . . same result as above
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<em>Additional comment</em>
In the attached, we have used a graphing calculator to find the x-intercept of the function f(x) = 0, where f(x) = 2^x -3^(x+1). This is the solution to the given equation.
The applicable rules of logarithms are ...
log(a^b) = b·log(a)
log(a/b) = log(a) -log(b)
