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vazorg [7]
3 years ago
14

On which number line are -3 and it’s opposite shown?

Mathematics
2 answers:
kolbaska11 [484]3 years ago
8 0
The first one, the opposite of any negative number is the same number but positive...and vise versa.
kompoz [17]3 years ago
4 0

Answer:

A.

Step-by-step explanation:

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Please help!! What is the solution to the quadratic inequality? 6x2≥10+11x
fredd [130]

Answer:

The solution of the inequation 6\cdot x^{2} \geq 10 + 11\cdot x is \left(-\infty,-\frac{2}{3}\right]\cup\left[\frac{5}{2},+\infty\right).

Step-by-step explanation:

First of all, let simplify and factorize the resulting polynomial:

6\cdot x^{2} \geq 10 + 11\cdot x

6\cdot x^{2}-11\cdot x -10 \geq 0

6\cdot \left(x^{2}-\frac{11}{6}\cdot x -\frac{10}{6} \right)\geq 0

Roots are found by Quadratic Formula:

r_{1,2} = \frac{\left[-\left(-\frac{11}{6}\right)\pm \sqrt{\left(-\frac{11}{6} \right)^{2}-4\cdot (1)\cdot \left(-\frac{10}{6} \right)} \right]}{2\cdot (1)}

r_{1} = \frac{5}{2} and r_{2} = -\frac{2}{3}

Then, the factorized form of the inequation is:

6\cdot \left(x-\frac{5}{2}\right)\cdot \left(x+\frac{2}{3} \right)\geq 0

By Real Algebra, there are two condition that fulfill the inequation:

a) x-\frac{5}{2} \geq 0 \,\wedge\,x+\frac{2}{3}\geq 0

x \geq \frac{5}{2}\,\wedge\,x \geq-\frac{2}{3}

x \geq \frac{5}{2}

b) x-\frac{5}{2} \leq 0 \,\wedge\,x+\frac{2}{3}\leq 0

x \leq \frac{5}{2}\,\wedge\,x\leq-\frac{2}{3}

x\leq -\frac{2}{3}

The solution of the inequation 6\cdot x^{2} \geq 10 + 11\cdot x is \left(-\infty,-\frac{2}{3}\right]\cup\left[\frac{5}{2},+\infty\right).

3 0
3 years ago
Finding whole number equal to fraction 8/1
sergij07 [2.7K]

Answer: 8

Step-by-step explanation: 8 divided by 1 is 8

5 0
3 years ago
Read 2 more answers
Pls help… grade 6/ primary 6 work. thanks!
Yuri [45]

Answer:

320

Step-by-step explanation:

go backwards, 75 + 45 = 120

120 * 5/3 = 200

200+40 = 240

240 *4/3 = 320

3 0
2 years ago
Which Operation would you do first 2x -7 = 3
Afina-wow [57]
You will at 7 to both sides and then divide 2 on both sides to find x. :)
2x-7=3
+7=+7
—————
2x = 10
— —-
2 2

X = 5
3 0
3 years ago
Rectangle EFGH is the image of rectangle ABCD after a sequence of transformations. Which statement describes the transformation
nasty-shy [4]

Answer:

C. Rectangle ABCD was dilated with center (0, 0) and a scale factor of 1/2 followed by a translation right 3.5 units and down 8 units.

Step-by-step explanation:

See figure for intermediate steps.

8 0
3 years ago
Read 2 more answers
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