The x-intercept of p(x) is x = 2, the x-intercept of g(x) is x = 0, then the correct option is B.
<h3>
What can we say about the x-intercepts of the given functions?</h3>
For a function f(x), the x-intercept is the value of x such that:
f(x) = 0.
Here we have:
p(x) = log₂(x - 1)
Remember that:
logₙ(1) = 0
For any base n, then the x-intercept of p(x) is x = 2, because:
p(2) = log₂(2 - 1) = log₂(1) = 0.
The other function is:
g(x) = 2ˣ - 1
Remember that any number to the power of zero is equal to 1, then:
g(0) = 2⁰ - 1 = 1 - 1 = 0
The x-intercept of p(x) is x = 2, the x-intercept of g(x) is x = 0, then the correct option is B.
If you want to learn more about x-intercepts:
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Answer: masses are 825 g and 1125 g
Step-by-step explanation: masses of hamsters are x and x+ 300 g.
Total mass is x+(x+300) = 1950
2x = 1650 g and x= 825
Answer:
Step-by-step explanation:
given are the two following linear equations:
f(x) = y = 1 + .5x
f(x) = y = 11 - 2x
Graph the first equation by finding two data points. By setting first x and then y equal to zero it is possible to find the y intercept on the vertical axis and the x intercept on the horizontal axis.
If x = 0, then f(0) = 1 + .5(0) = 1
If y = 0, then f(x) = 0 = 1 + .5x
-.5x = 1
x = -2
The resulting data points are (0,1) and (-2,0)
Graph the second equation by finding two data points. By setting first x and then y equal to zero it is possible to find the y intercept on the vertical axis and the x intercept on the horizontal axis.
If x = 0, then f(0) = 11 - 2(0) = 11
If y = 0, then f(x) = 0 = 11 - 2x
2x = 11
x = 5.5
The resulting data points are (0,11) and (5.5,0)
At the point of intersection of the two equations x and y have the same values. From the graph these values can be read as x = 4 and y = 3.
Answer:
Red Ink pens.
Step-by-step explanation:
Red ink pens are sold at $1.50 while Black ink pens are sold at $30. One black ink pens cost more than one red ink pen by $28.50.
