The correct equation which represents the graph is y = log (2x) + 3. Then the correct option is B.
<h3>What is a function?</h3>
The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
The equations are given below.
The graph of the function y = 2ˣ + 3 approaches zero when the value of x goes to negative infinity.
The graph of the function y = log (2x) + 3 approaches the negative infinity when the value of x approaches zero.
The graph of the function y = 2x² + 2 is parabolic in nature.
Then the correct equation which represents the graph is y = log (2x) + 3.
More about the function link is given below.
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Answer:
b / (b - 8)
Step-by-step explanation:
Given that :
Litres of water held by bucket = b
Jar holds 8 litres fewer than bucket; hence, litres held by jar = b - 8
The number of times bucket can hold than jar is :
Litres held by bucket / litres held by jar
b / (b - 8)
Answer:
y- intercept --> Location on graph where input is zero
f(x) < 0 --> Intervals of the domain where the graph is below the x-axis
x- intercept --> Location on graph where output is zero
f(x) > 0 --> Intervals of the domain where the graph is above the x-axis
Step-by-step explanation:
Y-intercept: The y-intercept is equivalent to the point where x= 0. 'x' is the input variable in an equation, therefore the y-intercept is where the input, or x, is equal to 0.
f(x) <0: Notice the 'lesser than' sign. This means that the value of f(x), or 'y', is less than 0. This means that this area consists of intervals of the domain below the x-axis.
X-intercept: The x-intercept is the location of the graph where y= 0, or the output is equal to 0.
f(x) >0: In this, there is a 'greater than' sign. This means that f(x), or 'y', is greater than 0. Therefore, this consists of intervals of the domain above the x-axis.
Answer:
The slope is -3/4 and the y-intercept is 1.
Step-by-step explanation:
B is the point where the line cross the y-axis, or vertical axis. Slope is the steepness of the line. Determined by rise over run. When the slope goes down 3 units, the slope goes to the right 4 units.
You can solve this by multiplying each numerator by the answer choices and trying to divide them. I can't get the fraction maker to work at the moment, so I'll write the calculations on a separate attachment.
As you can see, the only choice that works to eliminate both fractions is the fourth choice,
50x.
