Which of these equations has a graph that is tangent to the x-axis at one of its intercepts? choose all the polynomials that have this property.
y = x2 + 6x + 9
y = –x3
y = (x + 2)(x + 6)2
y = (x – 5)(x + 3)(x + 1)(x – 5)
y = x4

Step-by-step explanation:

we know that

If the graph is  tangent to the x-axis at one of its intercepts

then

the vertex of the graph or the inflection point of the graph lie on the x-axis

using a graphing tool

Verify each case

case A)

The case A) has a graph that is tangent to the x-axis at one of its intercepts

case B)

The case B) has a graph that is tangent to the x-axis at one of its intercepts

case C)

The case C) has a graph that is tangent to the x-axis at one of its intercepts

case D)    

The case D) has a graph that is tangent to the x-axis at one of its intercepts

case E)  

The case E) has a graph that is tangent to the x-axis at one of its intercepts

c

step-by-step explanation:

it would be see because your formula is f(x)=6x, so 6 times 1 is 6 and you go on and the best answer is c.

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.