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schepotkina [342]
3 years ago
15

Could x = -5 be a solution to the inequality -6 < 3x + 9 < 21?

Mathematics
2 answers:
____ [38]3 years ago
8 0

<em>So you think that x = -5 is the solution for the inequality? Let's check it out.</em>

<em>(Check)</em>

<em>- Substitute x = -5 in the inequality</em>

<em />-6<em />

<em>If it was the symbol ≤ you'd be correct, but it's < so It's a bit wrong.</em>

<em />

<em>Now let's solve the inequality. Separate the inequality by parts.</em>

<em />\left \{ {{-6<em />

<em>Therefore, the inequality is true only when x > -5 or x < 4.</em>

<em />

<em>(Check)</em>

<em>- Substitute x = -4 in the inequality.</em>

<em />-6<em />

<em>The inequality is true for first case.</em>

<em>- Substitute x = 3 in the inequality</em>

<em />-6<em />

<em>The inequality is true for second case.</em>

<em />

<em>So the answer for inequality is -5 < x < 4</em>

<em />

<em>That means only {-4, -3, -2, ..., 3} can make the inequality true.</em>

musickatia [10]3 years ago
6 0

Answer:

<h2><u><em>x=−5<x<4</em></u></h2>

Step-by-step explanation:

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musickatia [10]
4:1 is the answer............
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3 years ago
B)When ABCD is drawn to scale, would
never [62]

Hi there there's several ways this could be proven one way us to consider the allied angle theory where two angles formed between parallel lines are supplementary which in this case can be proven by

2(45)+90=180⁰ ✔

or 3(45)+45=180⁰✔

this would not be the case if it wasn't parallel

Consequently, you can also use the alternate angle theory where you essentially extend one of the lines and you'll see two equal alternate angles

7 0
2 years ago
Someone please help me answer this!!
dybincka [34]

Answer:

17.9 units is the answer

Step-by-step explanation:

points are (-7,-2) and (9,6)

Pythagorean theorem can be written as,

d=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} \\\\d=\sqrt{9-(-7))^2 + (6-(-2))^2}\\\\d=\sqrt{(16)^2+(8)^2} \\\\d=\sqrt{256+64} \\\\d=\sqrt{320} \\\\d=17.88

Rounding off,

d = 17.9 units

7 0
3 years ago
Solve the system of equations:
Ahat [919]

Answer:

Step-by-step explanation:

z = 3

2y + z = 1

2y + 3 = 1        {substituting z =3}

2y = 1 -3

2y = -2

y = - 2/2

y = -1

2x +3y +2z = 13

2x + 3 * (-1) + 2*3 = 13      { {substituting z =3} and y = -1}

2x -3 + 6 =13

2x + 3 = 13

2x  = 13 - 3

2x= 10

x = 10/2

x = 5

8 0
3 years ago
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