Answer:
243cm squared
Step-by-step explanation:
The y-intercept of the linear function y = 3x - 2 is -2
<h3>How to determine the y-intercept?</h3>
The function is given as
y = 3x - 2
The above function is a linear function, and the y-intercept is the point on the graph, where x = 0 i.e. the point (0, y)
As a general rule, linear functions are those functions that have constant rates or slopes
Next, we set x to 0, and calculate y to determine the value of the y-intercept
y = 3(0) - 2
Remove the bracket in the above equation
y = 3 * 0 - 2
Evaluate the product of 3 and 0 i.e. multiply 3 and 0
y = 0 - 2
Evaluate the difference of 0 and -2 i.e. subtract 0 from 2
y = -2
The above means that the value of y when x is 0 is -2
Hence, the y-intercept of the linear function y = 3x - 2 is -2
Read more about y-intercept at:
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To determine the inverse of a function, we first write the parent function in terms of y. So, in this part the x would be isolated to one side of the equation. Then, with the new form of the parent function, we switch the x into y and y to x. The new function would be the inverse function. For the given function, we do as follows:
<span> y=-4/x + 1
y - 1 = -4/x
x ( y - 1 ) = -4
x = -4 / (y -1)
Replacing x into y and y into x,
</span>y = -4 / (x -1)
<span>Therefore, the inverse is y=-a/x-b where a = 4 and b = 1.</span>
Answer:
A
Step-by-step explanation:
Answer:
The system has no solutions.
Step-by-step explanation:
If you stare at it for the bit you can tell the system is impossible. Let's see why:
First of all, rewrite the second equation by bringing all unknowns on the LHS:
.
Then take twice the first equation, doubling every coefficient:
See how the LHS is the same? The system is asking you to find a quantity (4x+6y) which is at the same time equal to four AND five - emphasis on that "and" - which is obviously impossible, because it implies that 4=5. So the point - which you didn't provide - is not a solution. Nor is any other point.
