Step-by-step explanation:
A supplementary angle is an angle that is 180 degrees. We are given two angles that add up to 180, but we need to solve for x first.
The first step is to solve both angles. We know that both angles added together are supplementary, so they are equal to 180.
4x + 8 = unknown angle
6x + 3 = unknown angle
(4x + 8) + (6x + 3) = 180
Because we know a supplementary angle is 180 degrees, we can solve for x to find both angles.
Solve for x.
(4x + 8) + (6x + 3) = 180
10x + 11 = 180
10x = 169
x = 16.9
Now, we know the value of x, so we plug in x for both angles to determine which angle is smaller.
4x + 8
4(16.9) + 8
67.6 + 8 = 75.6 degrees
and the other angle
6x + 3
6(16.9) + 3
101.4 + 3 = 104.4 degrees
Now we know that the smaller angle is 75.6 degrees.
Also, to make sure the math is correct, when plugging in both numbers after finding x, they should add to 180.
75.6 + 104.4 = 180 so we know they are supplementary for sure.
Good luck!
It's would be plus haft that number (it's a negative) and the next number would be 0
The domain of the function is x > 0 and the range of the function is -∞ < f(x) < ∞
<h3>How to determine the domain?</h3>
The table represents a logarithmic function.
The domain represents the set of x values.
From the table, we can see that all the x values are positive values i.e. x > 0
Hence, the domain of the function is x > 0
<h3>How to determine the range?</h3>
From the table, the table outputs all zero, positive and negative numbers
This means that the range is the set of all real numbers.
Hence, the range of the function is -∞ < f(x) < ∞
Read more about domain and range at:
brainly.com/question/11787743
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<span>Using processing software (Excel) or even a decent scientific calculator. You input the values and generate the best fit cubic equation.
For number 1, the equation is
y = 8x10</span>⁻⁵ x³ - 0.0097 x² + 0.374 x + 1.083
where x is the number of years since 1900
y is the pounds cheese consumed
For number 2, the equation is
y = -3x10⁻⁵ x³ + 0.0028 x² + 0.2155 x + 1.7736
For number 3
P(-1) = 18
If you multiply the 300 by 10 it becomes 3000
