The x intercept is when the line crosses the x axis
the place where the line crosses the x axis is also when y=0
the y intercept is when the line crosses the y axis
the place where the line crosses the y axis is also when x=0
so lets say you have the equation in slope-intercept form
which is y=mx+b
m=slope
b=y-intercept
to find the x intercept, set y to zero and solve
to find the y intercept, find b or set x to zero and solve (which cancels out mx and leaves b)
so exg
y=3x+4
x intercept=y=0 so 0=3x+4
subtract 4 from both sides
-4=3x
divide boht sides by 3
-4/3=x intercept
so y intercept
y=3(0)+4
y=0+4
y=4=y intercept
The inverse function of f(x) = 6x + 4 is f^-1(x) = (x - 4)/6
<h3>How to determine the inverse function?</h3>
The function is given as:
f(x) = 6x + 4
Rewrite as:
y = 6x + 4
Swap x and y
x = 6y + 4
Subtract 4 from both sides
6y = x - 4
Divide through by 6
y = (x - 4)/6
Rewrite as:
f^-1(x) = (x - 4)/6
Hence, the inverse function of f(x) = 6x + 4 is f^-1(x) = (x - 4)/6
Read more about inverse functions at:
brainly.com/question/2541698
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Answer:
Marcia is 47 inches tall.
Step-by-step explanation:
Let's solve this step by step and try to visualize the situation.
• Carl: 73 inches tall
The second part of the question states that Carl's heigh is twenty-one inches less than two times Marcia's height. Add 73 + 21 to equal 94. Since Carl is 21 inches less that means that Maria is 21 inches more ( so that's why I added instead of subtracting) because we are trying to find Maria's equation.
Let x be Marcia's height
2x = 94
• The question staes that 73 is 21 inches less than two times Marcia's height which means that the equation 2x = 94 applies because 73 + 21 = 94
After simplifying the equation, we can get the answer that Marcia is 47 inches tall.
First, you'll want to identify the given in the problem.
It costs 100 dollars to purchase all of the shirts and 10 dollars to print the designs on the shirts. The result being a 110 dolar investment prior to his sales. In addition, each shirt is sold for 4 dollars and this becomes the slope of the equation.
Using this info the following equation can be used to find Eric's profit:
P=4x-110
With 4 being the slope.
Overall, after selling the 20 shirts by plugging 20 in for x we get 80-110. So his profit is -30 dollars.
Hope this helps :)
2 units left would replace the x by (x+2)
2 units up will add 2
so the new equation is
g(x) = 1 /(x+2) + 2 C
