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jeka94
3 years ago
12

There must be more than 4 campers in a group during free play and the difference between the number of boys, x, and the number o

f girls, y, can be no more than 5. Which graph represents the system of inequalities for this scenario? On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 5) and (2, negative 3). Everything to the left of the line is shaded. The second dashed line has a negative slope and goes through (0, 4) and (2, 2). Everything to the left of the line is shaded. On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 5) and (2, negative 3). Everything to the right of the line is shaded. The second dashed line has a negative slope and goes through (0, 4) and (2, 2). Everything to the right of the line is shaded. On a coordinate plane, 2 straight lines are shown. The first solid line has a negative slope and goes through (0, 4) and (4, 0). Everything to the left of the line is shaded. The second dashed line has a positive slope and goes through (0, negative 5) and (5, 0). Everything to the left of the line is shaded. On a coordinate plane, 2 straight lines are shown. The first solid line has a negative slope and goes through (0, 4) and (4, 0). Everything to the right of the line is shaded. The second dashed line has a positive slope and goes through (0, negative 5) and (5, 0). Everything to the right of the line is shaded.
Mathematics
2 answers:
Hoochie [10]3 years ago
7 0
Answer:
The graph in the attached figure
Step-by-step explanation:
Let
x -----> the number of boys
y -----> the number of girls

----->inequality A
The solution of the inequality A is the shaded area above the solid line
The slope of the solid line is positive
The y-intercept of the solid line is (0,-5)
The x-intercept of the solid line is (5,0)
-----> equation B
The solution of the inequality B is the shaded area above the dashed line
The slope of the dashed line is negative
The y-intercept of the solid line is (0,4)
The x-intercept of the solid line is (4,0)
using a graphing tool
the solution of the system of inequalities is the shaded area between the solid line and the dashed line
see the attached figure
FromTheMoon [43]3 years ago
4 0

Answer:

It's the second graph.

Step-by-step explanation:

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Calcular: E = (sec245o + tg45o) ctg37o - 2cos60o
Vlada [557]

Answer:

-2.813

Step-by-step explanation:

Se simplifica inicialmente la fórmula en términos de las funciones trigonométricas fundamentales (Initially, the formula is simplified in terms of fundamental trigonometric functions):

(\sec 245^{\circ} + \tan 45^{\circ} )\cdot \cot 37^{\circ} - 2\cos 60^{\circ}

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7 0
3 years ago
Pleasee help x.x 1. Solve the system by elimination-
patriot [66]
Q1. The answer is x = 1, y = 1, z = 0

<span>(i) -2x+2y+3z=0
</span><span>(ii) -2x-y+z=-3 
</span>(iii) <span>2x+3y+3z=5
</span><span>_________
Sum up the first and the third equation:
</span>(i) -2x+2y+3z=0
(iii) 2x+3y+3z=5
_________
5y + 6z = 5

Sum up the second and the third equation:
(ii) -2x-y+z=-3 
(iii) 2x+3y+3z=5
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2y + 4z = 2


(iv) 5y + 6z = 5
(v) 2y + 4z = 2
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Divide the fifth equation by 2
(iv) 5y + 6z = 5
(v) y + 2z = 1
________
Multiple the second equation by -3 and sum the equation
(iv) 5y + 6z = 5
(v) -3y - 6z = -3
________
2y = 2
y = 2/2 = 1


y + 2z = 1
1 + 2z = 1
2z = 1 - 1
2z = 0
z = 0


-2x-y+z=-3
-2x - 1 + 0 = -3
-2x = -3 + 1
-2x = -2
x = -2/-2 = 1



Q2. The answer is x = -37, y = -84, z = -35

<span>(i) x-y-z=-8 
(ii) -4x+4y+5z=7 
(iii) 2x+2z=4
______
</span>Divide the third equation by 2 and rewrite z in the term of x:
(iii) x+z=2
z = 2 - x
______
Substitute z from the third equation and express y in the term of x:
<span>x-y-(2-x)=-8 
x - y - 2 + x = 8
2x - y = 10
y = 2x - 10
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Substitute z from the third equation and y from the first equation into the second equation:
</span><span>-4x + 4y + 5z = 7 
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-4x + 8x - 40 + 10 - 5x = 7
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8 0
3 years ago
X² + y² = 8
ohaa [14]

Answer:

(2,2)~ \text{and}~ (-2,-2)

Step by step explanation:

x^2 +y^2 =8~~~~~~...(i)\\\\x-y=0~~~~~~~~~...(ii)\\\\\text{From (ii):}\\\\x-y = 0 \implies x = y\\\\\text{Substitute x = y  in eq (i):}\\\\~~~~~~y^2 +y^2 =8\\\\\implies 2y^2 = 8\\ \\\implies y^2 = \dfrac 82\\\\\implies y^2 = 4\\\\\implies y = \pm\sqrt 4\\\\\implies y = \pm 2\\\\\text{Substitute y = x  in equation (i):}\\ \\~~~~~~x^2 +x^2 = 8\\ \\\implies 2x^2 = 8\\\\\implies x^2 = \dfrac 82\\\\\implies x^2 = 4\\\\\implies x = \pm\sqrt 4\\\\\implies x = \pm2\\\\

\text{Hence,}~ (x,y) = (\pm2, \pm 2)

3 0
2 years ago
F(x) = -2(x + 2)2 + 4
USPshnik [31]

Answer:

4x4=?        then we have 2x2=?

Step-by-step explanation: H-JJ-

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