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adelina 88 [10]
3 years ago
13

During a pumpkin launching contest, two pumpkins are launched at the same time. 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?
Mathematics
2 answers:
xz_007 [3.2K]3 years ago
6 0

Answer:

The coordinates of the point on path where the two pumpkins meet.

Step-by-step explanation:

Here we are given with the equation of the path followed by two pumpkins

h_{a}(X)=-0.01x^{2}+0.32x+4

h_{b}(X)=-0.01x^{2}+0.18x+5

Where (x) is the height and x represents the distance travelled.

The intersection point of the two equations will represent the point on the path where the two pumpkins meet each other.

In order to find that we put

h_{a}(X)=h_{b}(X)

and solve for x and find h(x) for that value of x.

inn [45]3 years ago
5 0
The launchers height above the ground at zero distance h(x)+0+0+.4= 4 meaning that the height is 4  <span />
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Which shapes contain at least one right angle?<br><br> Select each correct answer.
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Austen needs to buy a bathroom mirror that is 2 feet wide and 3 feet long. If the mirror
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<h2><u>Question :-</u></h2>

Austen needs to buy a bathroom mirror that is 2 feet wide and 3 feet long. If the mirror sells for $5.00 per square foot, what will the total cost of the mirror be?

<h3>____________________</h3>

<h2><u>Solution :-</u></h2>

<h3><u>Given Information :-</u></h3>

  • <u>Length of the mirror Austen needs to buy ➢</u> 3 ft
  • <u>Width of the mirror Austen needs to buy ➢</u> 2 ft
  • <u>Cost of mirror per square foot ➢</u> $5.00

<h3><u>To Find :-</u></h3>

  • Total cost of the mirror Austen needs to buy.

<h3><u>Formula Used :-</u></h3>

  1. Area of Mirror = Length × Width
  2. Total cost of mirror = Area of mirror × Cost of mirror per square foot

<h3><u>Calculation :-</u></h3>

  • <u>Area of mirror :-</u>

<em><u>Substituting the values given in the 1st formula, We get, </u></em>

⇒ Area of mirror = ( 3 × 2 ) ft²

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  • <u>Now finding the total cost of mirror,</u>

<em><u>Substituting the values calculated above in the 2nd formula, We get </u></em>

⇒ Total Cost of mirror = $ ( 6 × 5.00 )

⇒ Total Cost of mirror = $30

<h3>___________________</h3>

<h2><u>Final Answer :-</u></h2>

  • Total cost of the mirror Austen needs to buy will be $30

<h3>____________________</h3>
7 0
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