Elsa's answer is incorrect since there is a solution of the given equation. In the given logarithmic problem, we need to simplify the problem by transposing log2(3x+5) in the opposite side. The equation will now be log2x-log2(3x+5)=4. Using properties of logarithm, we further simplify the problem into a new form log (2x/6x+10)=4. Then transform the equation into base form 10^4=(2x/6x+10) and proceed in solving for x value which is equal to 1.667.
The sum of the expression (–x² + x) and (x² – 3x – 1) will be –2x – 1. Then the correct option is D.
<h3>What is Algebra?</h3>
The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
The expression can be written as
(–x² + x) and (x² – 3x – 1)
Then the sum of the expression (–x² + x) and (x² – 3x – 1) will be
(–x² + x) + (x² – 3x – 1) = –2x – 1
Then the correct option is D.
More about the Algebra link is given below.
brainly.com/question/953809
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9514 1404 393
Answer:
11 cm
Step-by-step explanation:
The volume of the prism is given by the formula ...
V = Bh
where B is the area of the triangular base, and h is the height.
Filling in the given information, we find the area of the triangular base to be ...
726 cm³ = B(12 cm)
B = 726 cm³/(12 cm) = 60.5 cm²
The area of an isosceles right triangle is half the area of a square with the same side lengths:
B = 1/2s²
60.5 = 1/2s²
s = √(2(60.5)) = √121 = 11
The length of each of the equal sides of the base is 11 cm.
Answer:
1st odd = 57
2nd odd = 59
3rd odd = 61
Step-by-step explanation:
Suppose the numbers to be:
1st odd = x -2
2nd odd = x
3rd odd = x +2
Now according to given conditions:
1st odd + 2nd odd + 3rd odd = 177
x - 2 + x +x + 2 = 177
By add -2 and + 2 will be cancelled
Adding all x
3x = 177
Dividing both sides by 3 we get
x = 177 / 3
x = 59
Now putting x = 59 to get three consecutive odds:
1st odd = x -2 = 59 - 2 = 57
2nd odd = x = 59
3rd odd = x +2 = 59 + 2 = 61
Proof:
1st odd + 2nd odd + 3rd odd = 177
57 + 59 + 61 = 177
177 = 177
hence proved
I hope it will help you!
