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sesenic [268]
3 years ago
8

Graph the system of inequalities then use your graph to identify the point that represents a solution to the system -3x + 4y &gt

; 0 x - 3y > 0

Mathematics
1 answer:
Sholpan [36]3 years ago
5 0

Answer:

  see below for a graph

Step-by-step explanation:

As with many systems of inequalities, the solution is not a single point, but is an area of the coordinate plane. For this pair of inequalities, it is a wedge of the plane in the third quadrant, where the solutions overlap.

__

If you have a list of points, the point that is a solution will be the one that lies in the doubly-shaded wedge (not on one of the dashed lines).

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Read 2 more answers
Limit of x^2-81/x+9<br> As x goes toward -9
Semmy [17]
Hello,

Use the factoration

a^2 - b^2 = (a - b)(a + b)

Then,

x^2 - 81 = x^2 - 9^2

x^2 - 9^2 = ( x - 9).(x + 9)

Then,

Lim (x^2- 81) /(x+9)

= Lim (x -9)(x+9)/(x+9)

Simplity x + 9

Lim (x -9)

Now replace x = -9

Lim ( -9 -9)

Lim -18 = -18
_______________

The second method without using factorization would be to calculate the limit by the hospital rule.

Lim f(x)/g(x) = lim f(x)'/g(x)'

Where,

f(x)' and g(x)' are the derivates.

Let f(x) = x^2 -81

f(x)' = 2x + 0
f(x)' = 2x

Let g(x) = x +9

g(x)' = 1 + 0
g(x)' = 1

Then the Lim stay:

Lim (x^2 -81)/(x+9) = Lim 2x /1

Now replace x = -9

Lim 2×-9 = Lim -18

= -18




7 0
3 years ago
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