The solution of the inequality is -8 ≥ b, and the correct graph is the one in option D.
"number line with a closed circle plotted at negative eight and arrow pointing left."
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How to solve the inequality?</h3>
Here we have the inequality:
-0.8*b + 2.3 ≥ 8.7
And we want to solve this, to do so, we need to isolate the variable b in one of the sides of the inequality.
-0.8*b + 2.3 ≥ 8.7
2.3 - 8.7 ≥ 0.8*b
-6.4 ≥ 0.8*b
-6.4/0.8 ≥ b
-8 ≥ b
So the solution is the set of all numbers equal to or smaller than -8, then the correct graph will be the one described by D.
Learn more about inequalities:
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Answer:
8a + 12
Step-by-step explanation:
multiply all of the terms in the parentheses
Answer:
Because e is used so commonly in math and economics, and people in these fields often need to take the logarithm with a base of e of a number to solve an equation or find a value, the natural log was created as a shortcut way to write and calculate log base e. ... So ln(x) = loge(x). As an example, ln(5) = loge(5) = 1.609.
Step-by-step explanation:
Answer:
George should charge 1.70$ for each frame to break-even.
Step-by-step explanation:
Variable cost for the frames:
Wood + polishing = $100 + $50 = $150
Variable cost per frame would be:
$150/ 500 = $0.30
The fixed cost of the operation is $700.
George has to make 500 frames.
Fixed cost / (Selling price per unit – variable cost per unit) = 500
$700 / (Selling price per unit - $0.30) = 500
700 = 500 (Selling price per unit – 0.30)
700 = 500 * Selling price – 500 * 0.3
700 = 500 * Selling price – 150
(700 + 150) / 500 = Selling price
850 / 500 = 1.7