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lisabon 2012 [21]
3 years ago
12

Name the quadrant in which the point (-4, -3) could be found on the coordinate plane

Mathematics
1 answer:
lesantik [10]3 years ago
5 0
On the negative plane field? because everything on the - side is negative.
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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
Paper cost $49 for 10 reams. How much for 1 ream?
amid [387]
For 10 ream, it's cost = $49
So, for 1 ream, it would be: $49/10 = $4.9

So, your final answer is $4.9

Hope this helps!
6 0
3 years ago
7 over 9 divided by 3
GarryVolchara [31]
Fraction is 7/27 or 0.259
4 0
4 years ago
Determine if the functions are even, odd or neither.
marusya05 [52]
I'm pretty sure its neither just substitute the x for -2 and solve. There has to be a consistency in the values 3 times for there to be a pattern.
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3 years ago
Which of the following graph of y=4^x+3
kondaur [170]
I took a picture on my calculator of what the graph should look like.

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3 years ago
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