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joja [24]
3 years ago
8

What is the value of x in the equation 1/4x+2=-5/8x-5

Mathematics
2 answers:
EastWind [94]3 years ago
7 0

Answer:

-8

I hope you get a good grade on that practice thing or test or whatever it is!


Charra [1.4K]3 years ago
5 0

Answer: x= -8

Step-by-step explanation:

1/4 x + 2 = -5x/8 - 5

x/4 + 2 = -5x / 8 - 5

we collect like term

x/4 + 5x / 8 = -5 - 2

2x + 5x / 8 = -7

7x / 8 = -7

cross multiply

7x = -56

Divide bothside by 7

7x / 7 = -56/7

x = -8

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Answer:

160

Step-by-step explanation:

96 / (100%-40%) = 96/ (60%)

= 96/0.6 = 160

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The correct option that shows the population of the research carried out by Matthew is;

<u><em>Option D; all the students attending the college</em></u>

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  • Now, let us say the total number of students in his college is x. If he decides to select 100 students randomly to record their height, it means this 100 students is a sample out of the total number of students which is x that is the population.

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2 years ago
For what values of $x$ is $$\frac{x^2 + x + 3}{2x^2 + x - 6} \ge 0?$$ note: be thorough and explain why all points in your answe
Rus_ich [418]

To solve the inequality \frac{x^2+x+3}{2x^2+x-6}\ge \:0

\mathrm{Factor\:the\:left\:hand\:side\:}\frac{x^2+x+3}{2x^2+x-6}:

The numerator x^2+x+3 is not factorizable.

so factor the denominator 2x^2+x-6:

2x^2+x-6=\left(2x^2-3x\right)+\left(4x-6\right)=x\left(2x-3\right)+2\left(2x-3\right)\\ \mathrm{Factor\:out\:}x\mathrm{\:from\:}2x^2-3x\mathrm{:\quad }x\left(2x-3\right)\\ \mathrm{Factor\:out\:}2\mathrm{\:from\:}4x-6\mathrm{:\quad }2\left(2x-3\right)\\

Now take \mathrm{Factor\:out\:common\:term\:}\left(2x-3\right)

Then we get factor of the denominator as \left(2x-3\right)\left(x+2\right)

Thus \frac{x^2+x+3}{2x^2+x-6}=\frac{x^2+x+3}{\left(x+2\right)\left(2x-3\right)}

Now \mathrm{Compute\:the\:signs\:of\:the\:factors\:of\:}\frac{x^2+x+3}{\left(x+2\right)\left(2x-3\right)}\\

Signs of x^2+x+3>0

\mathrm{Choosing\:ranges\:that\:satisfy\:the\:required\:condition:}\:\ge \:\:0

x\frac{3}{2} is the required solution of the given inequality.

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4 years ago
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Write an equation of the line passing through the points. Write the equation in general form.
Reika [66]

Answer: y=2x+8

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y=mx+b

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insert (2,12) to y=2x+b

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12=4+b

8=b

y=2x+8

4 0
3 years ago
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