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Luden [163]
3 years ago
11

The table below shows two equations.

Mathematics
2 answers:
abruzzese [7]3 years ago
7 0

Answer:

x=-3.5

Step-by-step explanation:

Vladimir79 [104]3 years ago
5 0
Equation 1:
| 2 x - 3 | + 5 = 4
| 2 x - 3 | = -1
There are no solutions.
Equation 2:
| 5 x + 3 | - 10 = 3
| 5 x + 3 | = 13
5 x + 3 = 13    and :  5 x + 3 = - 13
5 x = 10                    5 x = - 16
x = 2                          x = - 3.2
Answer:
       B ) Equation 1 has no solution and equation 2 has solutions x = 2, - 3.2. 
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Please Help <br> Write a system of linear Inequalities to represent each graph.
docker41 [41]

Answer:

\left\{\begin{array}{l}5x-y-7\le 0\\2x+3y-9\ge 0\end{array}\right.

Step-by-step explanation:

1. Blue region. The boundary blue line passes through the points (0,-7) and (3,8), then its equation is

\dfrac{x-0}{3-0}=\dfrac{y+7}{8+7},\\ \\15x=3(y+7),\\ \\5x=y+7,\\ \\5x-y-7=0.

This line is solid, so the sign for the inequality should be with the notion "or equal to".

From the diagram you can see that the origin belongs to the blue region, then its coordinates satisfy the inequality. Thus,

5x-y-7\le 0.

2. Green region. The boundary green line passes through the points (6,-1) and (0,3), then its equation is

\dfrac{x-0}{6-0}=\dfrac{y-3}{-1-3},\\ \\-4x=6(y-3),\\ \\-2x=3y-9,\\ \\2x+3y-9=0.

This line is solid, so the sign for the inequality also should be with the notion "or equal to".

From the diagram you can see that the origin doesn't belong to the blue region, then its coordinates satisfy the inequality. Thus,

2x+3y-9\ge 0.

3. The system of linear inequalities that represents these graphs is

\left\{\begin{array}{l}5x-y-7\le 0\\2x+3y-9\ge 0\end{array}\right.

6 0
3 years ago
Plz help me with this
Salsk061 [2.6K]

Answer:   \bold{b)\quad \dfrac{x+3}{4}}

<u>Step-by-step explanation:</u>

y=4x-3\\\\\text{Swap the x's and y's. Then solve for y:}\\x=4y-3\\\\\text{Add 3 to both sides:}\\x+3=4y\\\\\text{Divide both sides by 4:}\\\large\boxed{\dfrac{x+3}{4}=y}

4 0
3 years ago
I need to find the area .
nikklg [1K]

Answer:

104 ft^2

Step-by-step explanation:

area of rectangle = 8 × 10 = 80

area of triangle = 1/2 × 6 × 8 = 24

∴total area = 104 ft^2

5 0
3 years ago
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