X intercept of -7x+y=-6
2 answers:
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Answer:
$1.25.
Step-by-step explanation:
We have been given that at a football game Jasmine bought a soft pretzel for $2.25 in a bottle of water for $1.50 she paid with a $5 bill.
First of all let us find how much Jasmine spent on soft pretzel and water bottle by adding the cost of both items.
To find the amount that Jasmine will get as a change we will subtract the amount spent on both items from 5.
Therefore, Jasmine will get $1.25 back as change.
The solution to the system of inequalities is (-3.375, 1.75)
<h3>How to graph the inequalities?</h3>The system of inequalities is given as:
3y > 2x+12
2x+y < -5
Next, we plot the graph of the system using a graphing tool
From the graph, both inequalities intersect at
(-3.375, 1.75)
Hence, the solution to the system of inequalities is (-3.375, 1.75)
Read more about system of inequalities at:
#SPJ1
Differentiate both sides of the equation of the circle with respect to , treating
as a function of
:
This gives the slope of any line tangent to the circle at the point .
Rewriting the given line in slope-intercept form tells us its slope is
In order for this line to be tangent to the circle, it must intersect the circle at the point such that
In the equation of the circle, we have
If , then
, so we omit this case.
If , then
, as expected. Therefore
is a tangent line to the circle
at the point (1, -2).