$6x^2-4x+1=6\left(x-\dfrac13\right)^2+\dfrac13\ge0$

which means the parabola lies above the x-axis over its entire domain. This means the area is given by

$\displaystyle\int_{-1}^2(6x^2-4x+1)\,\mathrm dx=2x^3-x^2+x\bigg|_{x=-1}^{x=2}=10-(-5)=15$

4 0

3 years ago

The fountain in the pond at the public park near Kevin’s house has a pump that recirculates 75 gallons of water in 1/4 of an hou

il63 [147K]

Answer:

300 gallons an hour

Step-by-step explanation:

If it pumps 75 gallons in 1/4 of an hour (15 minutes), then if you times that by four to make it a full hour (60 minutes). 75 times 4 is 300.

7 0

2 years ago

A bank withdrawal of $50

Kryger [21]

A bank withdrawal of $50 is a reasonable amount for the average American person.

3 0

3 years ago