Answer:
<h2>y = 2x + 5</h2>
Step-by-step explanation:
The slope-intercept form of an equation of a line:
<em>m</em><em> - slope</em>
<em>b</em><em> - y-intercept</em>
We have the equation of a line in the standard form.
Convert to the slope-intercept form:
<em>add 2x to both sides</em>
The radius is half the diameter of the circle. If the radius gets larger then the whole circle grows. When the circle gets larger, the area gets larger too.
Answer:
The minimum sample required = 1296.65
Step-by-step explanation:
Given that:
Variance
Standard deviation
Standard deviation
Margin of error = 0.11
Confidence Interval = 98%
Level of significance = 1 - 0.98 = 0.02
The critical value =
= 2.33
Thus, the minimum sample size is given by the formula:
n = 1296.65
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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1: Underline, 'What is the interest rate?'
2: Highlight, 'His initial deposit was $800, and after 500 years, the balance is $842.'
3: 1,3,2,4
Step-by-step explanation:
This is what I can do so far