Answer:
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Step-by-step explanation:
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Answers:
a.) 17t + 200
b.) 93 minutes
Explanation:
The initial volume of the pond is 200 gallons, so that is the y-intercept and included in the equation. The rate of 17 gal/min is written as 17t if t = time.
The full equations is 17t + 200.
To find when the pond will fill up you simply make 1781 equal to the equation:
1781 = 17t + 200
Then solve for t:
1781 – 200 = 17t + 200 – 200
1581 = 17t
1581 ÷ 17 = 17t ÷ 17
93 = t
Answer:
x=303/8
Step-by-step explanation: Yes, I know it looks weird but this is what my calculations have told me. I plugged that number back into the equation and it works so it should be correct unless I misread your question.
Answer:
y < 1/2x - 3
Step-by-step explanation:
You can write the inequality equation for the graph using the form y = mx + b. The inequality line has a y-intercept at (0,-3). This means b = -3. It also has a slope of 1/2 since the line moves up 1 and over 2 to the next point on the line.
This means the lines equation is y = 1/2x - 3. But since this is an inequality, you must use an inequality sign. Since the line is dashed it is not equal to. Your options are < and >. Use the point (0,0) to test which sign is appropriate.
y < 1/2x - 3 y > 1/2x - 3
0 < 1/2(0) - 3 0 > 1/2(0) - 3
0 < -3 0 > -3
The answer is y < 1/2x - 3 since (0,0) doesn't make it true and (0,0) is not shaded in the graph. This means it is not a solution.
, round to nearest hundredth:
, round the number to the nearest thousand:
.