Which expression is equivalent to 10i/2-i a. –5i – 2 b. –4i – 2 c. 4i – 2 d. 5i – 2
2 answers:
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The graph of all the inequalities are given below.
<h3>What is inequality?</h3>Inequality is defined as an equation that does not contain an equal sign.
This part of the question is for simplifying your work: Make a graph and shadow the interested regions of the inequalities in the given picture.
y ≥ x, the region is left to the line.
y < -(3/7)x – 7, the region is left to the line.
y ≤ (5/3)x – 8, the region is right to the line.
y ≥ 14 – (11/12)x, the region is right to the line.
y = -(3/2)x + 5, this is the equation of line.
All the graphs are shown below.
More about the inequality link is given below.
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For this problem, we can refer to the slope formula . This describes the rise over run, change in x over y. We know that the y axis represents the dependent variable and that the x axis represents the independent variable. To put this in the equation, note the use of the word 'per' in this question. If she earns 5 dollars per hour of babysitting, then this means that the amount she earns depends on the number of hours she works. To put this numerically:
Think of the line that separates the dividend and divisor as the word 'per'. The slope of this line would be 5x, since y increases by five every time x increases by one. This means that your slope is .
We are still not completely finished. Notice the fact that she is paid an additional $3 for her transportation. This means that the y value for this line does not start out from 0. Before working any hours at all, there were 3 dollars, which is called the equation's y intercept. Your complete equation will be:
Now that it's complete, all there's left to do is plug in the values for hours worked.
3 hours:
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--->
She will earn $18 dollars for 3 hours.
8 hours:
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--->
She will earn $43 in 8 hours.
Hope this helped.