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mariarad [96]
4 years ago
10

Solve the inequality. -10 ≤ 2x -4 < 8

Mathematics
2 answers:
Ipatiy [6.2K]4 years ago
7 0
So if you split it into two inequalities, -10 \leq 2x-4 and 2x-4\ \textless \ 8 you can solve each. The first half equates to -3 \leq x and the second half is x\ \textless \ 6 so it recombines to mean -3 \leq x\ \textless \ 8
Elodia [21]4 years ago
3 0
Let's solve your inequality step-by-step.
<span>−10≤<span><span>2x−4</span><8</span></span><span><span>−10+4</span>≤<span><span><span>2x−4</span>+4</span><8+4 
</span></span>(Add 4 to all parts)
<span>−6≤<span>2x<12</span></span><span><span>−62</span>≤<span><span>2x2</span><122 
</span></span>(Divide all parts by 2)
<span>−3≤<span>x<6</span></span>

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Which function best fits the following points?
Goryan [66]

Given:

The graph of a scatter plot.

To find:

The function that best fits the given points.

Solution:

From the given graph it is clear that the linear function is the best fit for the given points because the points lie on a straight line or near to it.

So, options B and C are incorrect because they represent exponential and quadratic function respectively.

Let as assume the two points on the graph are (0.80,-12.82) and (2,-12.79).

Using this two points, the equation of line is:

y-(-12.82)=\dfrac{-12.79-(-12.82)}{2-0.80}(x-0.80)

y+12.82=\dfrac{-12.79+12.82}{2-0.80}(x-0.80)

y+12.82=0.025(x-0.80)

y+12.82=0.025x-0.02

y=0.025x-0.02-12.82

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It is the approximate function to the function that is in option A.

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