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RoseWind [281]
2 years ago
7

Write a system of inequalities using the given graph

Mathematics
1 answer:
ch4aika [34]2 years ago
4 0

Take two points

  • (-2,1)
  • (0,-3)

Slope

  • m=-3-1/0+2=-4/2=-2

Parallel lines so slopes are equal

Only y intercept will vary

So both lines have y intercept at -3 and -1 respectively

The equations

  • y=-2x-3
  • y=-2x-1

Put (0,0) on first one

  • 0>-3

On second one

  • 0>-1

So as lines are dashed symbols remain >

The inequalities are

  • y>-2x-3
  • y>-2x-1
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Use Cramers Rule to solve the system <br> 2x - 3y = 11<br> -6x + 8y = 34
Nastasia [14]

Step-by-step explanation:

given :

2x - 3y = 11

-6x + 8y = 34

find : the solutions of the system by using Cramers Rule.

solutions:

in the matrix 2x2 form =>

[ 2 -3] [x] [11]

=

[-6 8] [ y] [34]

D =

| 2 -3 |

|-6 8 |

= 8×2 - (-3) (-6)

= 16-18 = -2

Dx = | 11 -3 |

| 34 8 |

= 11×8 - (-3) (34)

= 88 + 102

= 190

Dy = | 2 11 |

|-6 34 |

= 2×34 - (-6) (11)

= 68 + 66

= 134

x = Dx/D = 190/-2 = -95

y = Dy/D = 134/-2 = -67

the solutions = {-95, -67}

8 0
3 years ago
Read 2 more answers
Help on number 8? Helper gets points. Please show work :p.
Monica [59]

Student P:

They messed up in step 1 because they made the 7.75 positive instead of negative, which causes the entire solution to be wrong

Student Q:

They were correct up until step 3. They didn't take all the negatives out of the equation (ex. -(3.5+7.75+29.67)).

Complete set:

From the picture, it looks like the original problem was

-2.5(1.4+3.1)+6.9(-4.3)

Step 1: multiply

1.4(-2.5)+3.1(-2.5)+6.9(-4.3)

Step 2: subtract (add?) them all together

-3.5-7.75-29.67

Step 3 should equal -40.92

4 0
3 years ago
5. From the choices below, choose an expression that is equivalent to the
blondinia [14]

Answer: -(22/4)

Step-by-step explanation:

8 0
3 years ago
We have a shape that has an area of 112 inches squared. Convert the units to centimeters squared. (HINT: Perform multiple conver
Andre45 [30]
<h3>Answer: 722.5792 square centimeters</h3>

Work Shown:

112 \text{ in}^2 = 112 \text{ in}^2 \times \frac{2.54 \text{ cm}}{1 \text{ in}} \times \frac{2.54 \text{ cm}}{1 \text{ in}}\\\\112 \text{ in}^2 = (112 \times 2.54 \times 2.54) \text{ cm}^2\\\\112 \text{ in}^2 = 112 \times (2.54)^2 \text{ cm}^2\\\\112 \text{ in}^2 = 722.5792 \text{ cm}^2\\\\

Notes:

  • 1 inch = 2.54 cm exactly
  • The conversion factor \frac{2.54 \text{ cm}}{1 \text{ in}} is used to convert from inches to cm. The inches unit in the denominator cancels with one of the inches unit from the original 112 square inches figure.
  • We use two identical copies of the same conversion factor to convert from square inches to square centimeters. This is the "multple conversion" your teacher is referring to.
  • Think of "square inches", aka \text{in}^2, as "inches times inches". Or think of a 1 inch by 1 inch square that has an area of 1 square inch. The same applies for the square centimeter unit as well.
5 0
2 years ago
What is 75 2/5% in decimal
krok68 [10]

Answer:

.754

Step-by-step explanation:

Percentage is based off of 1 or 100% which is equal to 1. So 50% or half of both 100% and 1 would be translated as .5 and as the percentage becomes more accurate or lengthy you add to the decimal so 53% is .53 and 53.4% is .534

7 0
3 years ago
Read 2 more answers
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