Answer:
x = 0
Step-by-step explanation:
-[(3^x - 1)(5^x - 1)] + 1 = 1
Subtract 1 form both sides
-[(3^x - 1)(5^x - 1)] = 0
Divide both sides by -1
(3^x - 1)(5^x - 1) = 0
Equate the factors to 0
3^x - 1 = 0
3^x = 1
Use ln both sides
ln(3^x) = ln(1)
xln(3) = 0
x = 0
5^x - 1 = 0
5^x = 1
Use ln both sides
ln(5^x) = ln(1)
xln(5) = 0
x = 0
The only solution is x = 0
Answer:
54
Step-by-step explanation:
16 is 2/3 of 24
36 is 2/3 of 54
Answer:
(2b-5)(2b+5)
4b^2-25
Step-by-step explanation:
Answer: y = 3x/2 + 8
Step-by-step explanation:
The equation of a straight line can be represented in the slope intercept form as
y = mx + c
Where
c represents the y intercept
m represents the slope of the line.
The equation of the given line is
y = - 2x/3 + 5
Comparing with the slope intercept form, slope = - 2/3
If two lines are perpendicular, it means that the slope of one line is the negative reciprocal of the slope of the other line.
Therefore, the slope of the line passing through (2, 11) is 3/2
To determine the y intercept, we would substitute m = 3/2, x = 2 and y = 11 into y = mx + c. It becomes
11 = 3/2 × 2 + c
11 = 3 + c
c = 11 - 3 = 8
The equation becomes
y = 3x/2 + 8
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The weight of the rectangle is 80 grams.
The weight of the triangle is double the weight of the
circle.
Determine the weight of the circle.
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Rectangle has four sides. The total weight of the circle is 20 grams.
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What is a rectangle?
A rectangle is a 2D shape that has four sides, and the pair of opposite sides are equal and parallel to each other.
As it is given that the weight of the rectangle is 80 grams, and a rectangle is made up of two triangles. Therefore, the weight of each triangle can be written as,
It is given that the total weight of the triangle is double the weight of the circle. therefore, the relationship can be written as,
Hence, the total weight of the circle is 20 grams.
Learn more about Rectangle:
brainly.com/question/994316
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