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zhenek [66]
2 years ago
11

Graph the system of inequalities. Y > x+3 y > -2x+1

Mathematics
1 answer:
Zepler [3.9K]2 years ago
6 0

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The boundary lines of both inequalities are dashed lines, because neither includes the "or equal to" case. Shading is above the boundary line in both cases.

The boundary line of the first inequality has a y-intercept of +3 and a slope of 1, so goes up 1 unit for each 1 unit to the right of (0, 3).

The boundary line of the second inequality has a y-intercept of +1 and a slope of -2, so goes down 2 units for each 1 unit to the right of (0, 1).

The solution space is the top quadrant of the X where the boundary lines cross. That is where the two solution spaces overlap. It includes parts of quadrants I and II.

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18 = -4x -9 + 3 resolver
wolverine [178]

Answer:

The answer is X=-4 hope this helps.

3 0
2 years ago
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Please help ( if you can then please help with <br> both questions )
tatuchka [14]

Answer:

For number 1, -1.125 and -9/8. For number 2, -46.

Step-by-step explanation:

6 0
2 years ago
Find the surface area of each figure (spheres and hemispheres)
xenn [34]

Answer:

7. 1520.53 cm²

8. 232.35 ft²

9. 706.86 m²

10. 4,156.32 mm²

11. 780.46 m²

12. 1,847.25 mi²

Step-by-step explanation:

Recall:

Surface area of sphere = 4πr²

Surface area of hemisphere = 2πr² + πr²

7. r = 11 cm

Plug in the value into the appropriate formula

Surface area of the sphere = 4*π*11² = 1520.53 cm² (nearest tenth)

8. r = ½(8.6) = 4.3 ft

Plug in the value into the appropriate formula

Surface area of the sphere = 4*π*4.3² = 232.35 ft² (nearest tenth)

9. r = ½(15) = 7.5 m

Surface area of the sphere = 4*π*7.5² = 706.86 m² (nearest tenth)

10. r = ½(42) = 21 mm

Plug in the value into the formula

Surface area of hemisphere = 2*π*21² + π*21² = 2,770.88 + 1,385.44

= 4,156.32 mm²

11. r = 9.1 m

Plug in the value into the formula

Surface area of hemisphere = 2*π*9.1² + π*9.1² = 520.31 + 260.15

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12. r = 14 mi

Plug in the value into the formula

Surface area of hemisphere = 2*π*14² + π*14² = 1,231.50 + 615.75

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8 0
3 years ago
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VARVARA [1.3K]

Answer:

Step-by-step explanation:

Let the equation of the cosine function is,

y = Acos(Bx)

From the graph attached,

A = Amplitude = \frac{1-(-1)}{2}

   = 1

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B = \frac{2\pi}{\frac{\pi}{2}-0}

B = \frac{4\pi}{\pi}

B = 4

Therefore, equation of the cosine wave given in the graph will be,

y = 1.Cos(4x)

y = Cos(4x)

7 0
2 years ago
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Travka [436]

Answer:X=9

Step-by-step explanation:

x+18=3x

18=2x

x=9

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2 years ago
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