Answer:
the third one
Step-by-step explanation:
Answer:
x = -13/9
Step-by-step explanation:
Solve for x over the real numbers:
8^(x - 3) = 16^(3 x + 1)
Hint: | Take logarithms of both sides to turn products into sums and powers into products.
Take the natural logarithm of both sides and use the identity log(a^b) = b log(a):
3 log(2) (x - 3) = 4 log(2) (3 x + 1)
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides by log(2):
3 (x - 3) = 4 (3 x + 1)
Hint: | Write the linear polynomial on the left hand side in standard form.
Expand out terms of the left hand side:
3 x - 9 = 4 (3 x + 1)
Hint: | Write the linear polynomial on the right hand side in standard form.
Expand out terms of the right hand side:
3 x - 9 = 12 x + 4
Hint: | Isolate x to the left hand side.
Subtract 12 x - 9 from both sides:
-9 x = 13
Hint: | Solve for x.
Divide both sides by -9:
Answer: x = -13/9
To solve this we are going to use the unitary circle and the fact that
From our circle we can infer that
and
.
Since
,
We can conclude that .
The function y = - 50x + 75 is linear. So, the correct option is (A).
<h3>Define linear function.</h3>
The formula for a linear function is f(x) = mx + b, where m and b are real values. Isn't it resembling the slope-intercept form of a line, represented by the equation y = mx + b? Yes, this is the case as the graph of a linear function is a line. Here,
The line has a slope of m and a y-intercept of b.
The independent variable is "x."
The dependent variable is "y" (also known as f(x)).
Consider the equation y = - 50x + 75
Compared to the linear function equation, we get
m = -50
b = 75
So, the function is a linear function with a constant change. The function will be linear at all points.
To know more about linear functions, visit:
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