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Eva8 [605]
3 years ago
7

What is the x-intercept of the graph of y=3−5x?

Mathematics
2 answers:
Alona [7]3 years ago
7 0

Answer:

Here is your answer honey

klemol [59]3 years ago
4 0

Step-by-step explanation:

what did it mean to have an x-(axis-)intercept ?

just imagine the function curve gets closer and closer to the x-axis, and then finally intersects it.

that means there is a point on this function that is also on the x-axis.

what are the coordinates of points on the x-axis ?

well, sure, for x any value from -infinity to +infinity is possible.

but what about y ? what values can y have for points on the x-axis ? greater than 0 ? lower than 0 ?

no, if y would have any value different than 0, this point would not be ON the x-axis.

so, we know, the interception point must have y = 0.

and that is what we use in our function equation :

0 = 3 - 5x

5x = 3

x = 3/5

so, at x=3/5 there is the x-interception with the point coordinates (3/5, 0).

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Answer:

a) one solution

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Step-by-step explanation:

Systems of equations can be described as having one solution, no solution or infinite solutions:

One solution:  'x' and 'y' are equal to only one value

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In order to evaluate the systems, putting them in the same format is your first step:

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Since both equations have the same expression 'y - 5x', but there are equal to opposite values, this system would have no solution, as this would not be possible to calculate.

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Solving for 'y' by adding the equations and eliminating 'x', gives us:

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Using y = -1 to plug back into an equation and solve for 'x':  -1 + 3x = -1 or x = 0.  Since 'x' and 'y' can be solved for a value, the system has just one solution.

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