The solution of the logarithmic equation is given by the antilog. Then the value of x is 2 and 4.
<h3>What is a factorization?</h3>
It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.
The logarithmic equation is given below.
Take antilog, then we have
Then the value of the x is 2 and 4.
More about the factorization link is given below.
brainly.com/question/6810544
A=168 ft²
that's the answer hope it helped!<span>
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Answer:
28.8 or 28 8/10
Step-by-step explanation:
A percentage is out of 100. We have to convert 8 3/4 into a percentage. 8 3/4 can also be written as an improper fraction 35/4. Now we have to make the denominator 100. We already knoe that 4 multiplied by 25 equals 100, then we do the same to the numerator. 35 multiplied by 25 gets us to 125. Now we got 125/100. Now since we converted the fracrion into a percentage, now what we do is divide 36 by 125% and that will get you to 28.8 or 28 8/10.
To double check your answer, you can multiply 28.8 by 125% and you will get 36.
Answer:
8494.87 is the actual answer but the rounded version is 8494.9
<span>let x = the original no. of students
then
(x+10) = the actual no. that went on the trip
:
= the original cost per student
and
= the actual cost
:
Original cost - actual cost = $12.50
- = 12.50
multiply equation by x(x+10)
x(x+10)* - x(x+10)* = 12.50x(x+10)
Cancel the denominators
1500(x+10) - 1500x = 12.5x(x+10)
1500x + 15000 - 1500x = 12.5x^2 + 125x
Combine on the right to form a quadratic equation
0 = 12.5x^2 + 125x - 15000
Simplify, divide equation by 12.5
x^2 + 10x - 1200 = 0
You can use the quadratic formula; a=1; b=10; c=-1200, but this will factor to
(x + 40(x - 30) = 0
The positive solution is what we want here
x = 30 students in the original group
Check this by finding the cost per student for each scenario
1500/30 = $50.00; original cost
1500/40 = $37.50; actual cost
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saving: $12.50</span>
