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mihalych1998 [28]
3 years ago
12

The graphs of four quadratic equations are shown. Identify the number of real solutions of each equation by

Mathematics
1 answer:
labwork [276]3 years ago
3 0

Answer:

1. 2 real solutions

2. no real solutions

3. 2 real solutions

4. 1 real solution

Step-by-step explanation:

The 'solution' to a quadratic equation means the x - intercepts of a graph, so how many times the parabola crosses the x-axis.

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A robotic machine fills containers with an acid solution at the rate of 50 + 5 t milliliters (mL) per second, where t is in seco
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Answer:

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Step-by-step explanation:

The machine fills the containers at a rate of 50+5t milliliters (mL) per second.

Therefore, the rate of change of the number of containers, N is:

\dfrac{dN}{dt}=50+5t, 0\leq t\leq 60

dN=(50+5t)dt\\$Taking integrals of both sides\\\int dN=\int (50+5t)dt\\N(t)=50t+\frac{5t^2}{2}+C $(C a constant of integration)\\\\When t=0, , No containers are filled, therefore:$ N(t)=0\\0=50(0)+\frac{5(0)^2}{2}+C\\C=0\\$Therefore, N(t)=50t+2.5t^2

When t=60 seconds

N(60)=50(60)+2.5(60)^2\\N(60)=12000$ mL

Therefore, 12,000 milliliters of acid solution are put into a container in 60 seconds.

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2 years ago
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spayn [35]

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2 years ago
Whats the hcf of 108 and 308​
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Answer:

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5 0
3 years ago
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Step-by-step explanation:

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