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nikdorinn [45]
3 years ago
9

The path of pumpkin A is modeled by the equation h(x) = –0.01x2 + 0.32x + 4. The path of pumpkin B is modeled by the equation h(

x) = –0.01x2 + 0.18x + 5. If x represents the distance the pumpkin traveled and h(x) represents height, what does the intersection point of the equations represent?
The height at which the pumpkins reach the greatest distance.
The distance at which the pumpkins both hit the ground.
The starting height at which the pumpkins are launched.
The distance at which the height of the pumpkins are the same.
Mathematics
1 answer:
Novosadov [1.4K]3 years ago
8 0

Answer:

D.) The distance at which the height of the pumpkins are the same.

Step-by-step explanation:

An intersection between the graph of both equations would mean that they would share the same x and y coordinates.

Since y refers to the height of the pumpkin, then having the same y coordinate would mean being at the same height at that exact distance.

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A hardware store clerk mixed nuts worth $1.32 per kilogram with bolts worth $1.20 per kilogram. If he made 108 kilograms of a mi
AlladinOne [14]

Answer:

the way to work these types of problems is to create a table. The table will have three rows and three columns.

The table:

Let x represent the kilograms of nuts, then 138 - x will represent the kilograms of bolts.

Product     Amount        Cost            Total

--------------------------------------------------------

  Nuts          x               .60         .60 * x

  Bolts      138 - x          .66         .66 * (138 - x)

  Mix          138             .65         .65 * (138)

Step-by-step explanation:

The equation:

The nuts plus the bolts must equal the mix or:

.60 * x + .66 * (138 - x) = .65 * 138

I do not like to work with decimals, so multiply each term by 100:

60 * x + 66 * (138 - x) = 65 * 138

Remove the parenthesis and combine like terms:

-6x = -66 * 138 + 65 * 138

-6x = -138

Divide both sides by -6:

x = 23

Solution:

The mixture contains 23 kilograms of nuts.

The mixture contains 138 - 23, or 115 kilograms of bolts.

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The medical doctor prescribed 0.35 ml of insulin per day.

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