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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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Please help asap!!!! 53 points!
AfilCa [17]
The easiest way is to graph it based upon the slope (m) and y-intercept (b), in the standard slope-intercept form: y = m (x) + b.
The line above intercepts the y-axis at y = -2, which is b. The slope (m) = rise/run = (y2-y1)/(x2-x1 ); so for the point (-4, 2) to (-6, 4) is:
(4-2)/(-6--4) = 2/(-6+4) = 2/-2 = -1.
So one form of the equation would be:
y = -1x - 2
Now the other form of an equation is point-slope: y-k = m (x-h), where the point is at (h, k)
and if we pick -5 for x (bc 5 it listed in 3 of the answers), the y at x=-5 looks like around +3
so we get: y-k = -1 (x--5)...
y-3 = -(x+5)... therefore D) is the correct answer:
8 0
3 years ago
Read 2 more answers
Help................​
guapka [62]

Answer:

6.2 a QR

6.2 b 180

6.3 a By aas axiom

5 0
2 years ago
In a cohort of 35 graduating students, there are three different prizes to be awarded. If no student can receive more than one p
sweet [91]

We have been given in a cohort of 35 graduating students, there are three different prizes to be awarded. We are asked that in how many different ways could the prizes be awarded, if no student can receive more than one prize.

To solve this problem we will use permutations.

_{r}^{n}\textrm{P}={_{3}^{35}\textrm{P}}

We know that formula for permutations is given as

_{r}^{n}\textrm{P}=\frac{n!}{(n-r)!}

On substituting the given values in the formula we get,

{_{3}^{35}\textrm{P}}=\frac{35!}{(35-3)!}=\frac{35!}{32!}

=\frac{35\cdot 34\cdot 33\cdot 32!}{32!}\\
\\
=35\cdot 34\cdot 33=39270

Therefore, there are 39270 ways in which prizes can be awarded.


6 0
3 years ago
Which is the range of the function f(x) =1/7(9)x? all real numbers all real numbers less than 0 all real numbers greater than 0
zimovet [89]
I cannot suggest anything other than the set of real numbers here, but maybe someone else can provide a better answer. As long as you increase or decrease x (which is a real number) then you will get a real number, or the infinite set of real numbers. 
4 0
2 years ago
Read 2 more answers
У=-3x+3<br> y = -9x + 15
julia-pushkina [17]

Answer:

(2, - 3 )

Step-by-step explanation:

Given the 2 equations

y = - 3x + 3 → (2)

y = - 9x + 15 → (2)

Substitute y = - 3x + 3 into (2)

- 3x + 3 = - 9x + 15 ( add 9x to both sides )

6x + 3 = 15 ( subtract 3 from both sides )

6x = 12 ( divide both sides by 6 )

x = 2

Substitute x = 2 into either of the 2 equations and solve for y

Substituting into (1)

y = - 3(2) + 3 = - 6 + 3 = - 3

solution is (2, - 3 )

8 0
2 years ago
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