Answer:
They are both 42 cm
Step-by-step explanation:
<h3>Explanation:</h3>
Any techniques that you're familiar with can be applied to polynomials of any degree. These might include ...
- use of the rational root theorem
- use of Descartes' rule of signs
- use of any algorithms you're aware of for finding bounds on roots
- graphing
- factoring by grouping
- use of "special forms" (for example, difference of squares, sum and difference of cubes, square of binomials, expansion of n-th powers of binomials)
- guess and check
- making use of turning points
Each root you find can be factored out to reduce the degree of the remaining polynomial factor(s).
The measure of angle z is 137
For the function, y = log₄ (x + 16) - 1, it has x-intercept of -12 and y-intercept of 1.
<h3>What are Logarithmic Functions?</h3>
Logarithmic functions are functions expressed in another way for exponential functions. It is the power to which any number should be raised to yield other values.
Logₐ x = n can be written in exponential form as x = aⁿ.
y = log₄ (x + 16) - 1
x-intercept is the x-coordinate of the point when y = 0.
0 = log₄ (x + 16) - 1
For the left hand side to be equal to 0, the term log₄ (x + 16) must be equal to 1.
log₄ (x + 16) = 1
⇒ x + 16 = 4 (∵ logₐ a = 1)
⇒ x = -12
y-intercept is the y-coordinate of the point where x = 0.
y = log₄ (0 + 16) - 1
y = log₄ (16) - 1
y = log₄ (4²) - 1
logₐ mⁿ = n logₐ m
⇒ y = 2 log₄ (4) - 1
⇒ y = 2 - 1 (∵ log₄ (4) = 1)
⇒ y = 1
Hence, the function y = log₄ (x + 16) - 1 has x-intercept of -12 and y-intercept of 1.
To learn more on Logarithms, click:
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