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Kisachek [45]
3 years ago
10

Which system of inequalities represents the graph?

Mathematics
2 answers:
Natali [406]3 years ago
8 0

y > x - 5

y > -5x + 6

y ≤ -0.6x + 2

Ksenya-84 [330]3 years ago
4 0

Equation of Line in slope intercept form which cuts x axis at (a,0) and y axis at (0,b), is given by

           \frac{x}{a}+\frac{y}{b}=1

Equation of Line 1, which cuts  y axis at (0,2) and also passes through (5,-1) is given by

     \frac{x}{2}+\frac{y}{3.5}=1

Equation of Line 2, which cuts  y axis at (0,-5) and x axis at (5,0) is given by

    \frac{x}{5}+\frac{y}{-5}=1

Equation of Line 3, which cuts  y axis at (0,6) and x axis at (1.2,0) is given by

     \frac{x}{1.2}+\frac{y}{5}=1

Now we have to represent the shaded region by three lines in terms of  Inequality

To do this we will check whether Origin (0,0) ,is contained in the line or not.

Origin lies inside the Shaded region of line 1.

Origin lies above on the Shaded region of line 2 .

Origin does not lie in the shaded region of Line 3.

So, the three Inequalities which represent the shaded region are

1.→3.5x+2y<7

2→ x-y<5

3→5x+1.2y-6>0

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Helppppppppppppppppppp
Daniel [21]
Hey there! :D

Remember that the question said estimate. 

So 

47% rounds to 50% 

.5 and 1/2 are equal to 50% 

89 rounds to 90. 

You could say that:

1/2*90

0.5*90

90/2 

These will all work and will give you the same answer. 

I hope this helps!
~kaikers
8 0
3 years ago
Read 2 more answers
Ronaldo can kick a soccer ball 35 meters per second which is about 80 mph. He kicked the ball from one end of the field to the o
professor190 [17]

Answer:

t=3.142sec

Step-by-step explanation:

From the question we are told that:

Speed of ball V=35m/s\approx 80 mph

Length of field l=110m

Generally the equation for Time taken t is mathematically given by

 t=m/V

 t=110/35

 t=3.142sec

 t \approx \frac{3.142}{60}

 t \approx 0.05hrs

Therefore it will take the ball to get from one end of the field to the other

t=3.142sec

3 0
2 years ago
Solve each radical equation. Be sure to check your solutionsa)√(x+5)-9=-12b)√(4x-7)=√(3x+9)
Arlecino [84]

Answer:

a) There is no solution to the equation.

b) Solution: x = 16

Step-by-step explanation:

Hi there!

a) Let´s write the equation:

√(x + 5) - 9 = -12

add 9 to both sides of the equation

√(x + 5) = -12 + 9

√(x + 5) = -3

Square both sides of the equation

x + 5 = 9

Subtract 5 to both sides

x = 9 - 5

x = 4

Let´s check the solution:

√(x + 5) - 9 = -12

√(4 + 5) - 9 = -12

√9 - 9 = -12

3 - 9 = -12

-6 ≠ -12

Then x = 4 is not a solution to the equation.

b) Let´s write the equation:

√(4x - 7) = √(3x + 9)

square both sides of the equation  

4x - 7 = 3x + 9

subtract 3x and add 7 to both sides of the equation

4x - 3x = 9 + 7

x = 16

Let´s check the solution:

√(4x - 7) = √(3x + 9)

x = 16

√(4(16) - 7) = √(3(16) + 9)

√57 = √57

Then x = 16 is the solution to the equation

5 0
3 years ago
Sally scored 9.007 in gymnastics. Jack scored 8.949. How much higher was sally scored than jack’s
insens350 [35]

Answer:

0.058

Step-by-step explanation:

3 0
3 years ago
Helpppppppppppppp ASAP helppp
lys-0071 [83]

Answer:

You can use a calculator to find all the tan, sin, cos values! Simply enter the number, for example, 52, then press the tan button! For question d, you are finding what number that decimal is the tangent of. Press the 2nd function on your calculator, and you can see that -1 beside the tan. Enter the decimal then use that button to find the reverse tangent.

tan52 = 1.2799

sin19 = 0.3256

cos34 = 0.8290

tan-1(0.9876) = 44.6426

To solve the conveyor belt problem, you'll have to use the sine of 15. (remember, sine = opposite/hypotenuse). Set up an equation:

sin15 = ?/12m

Use a calculator to find sin15, then you can solve it like algebra.

sin15 = ?/12m

sin15*12m = ?

0.2588*12m = ?

3.1056m = ?

Hope this helped :)

7 0
3 years ago
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