1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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 />
You might be interested in
Kira has breakfast in a restaurant. She leaves $1.80 for a 20% tip. What is the price of Kira's breakfast, before the tip?
ki77a [65]

Answer:

percent* base = amount

.2 * x = 1.80

x = 1.80/.2

x= $9

Step-by-step explanation:

5 0
2 years ago
Select all the statements about the situation that are true. Elena makes more money for making 10 calls than Diego makes for was
steposvetlana [31]

Answer:

B, C, E

Step-by-step explanation:

Elena’s aunt pays her $1 for each call she makes to let people know about her aunt’s new business. The table shows how much money Diego receives for washing windows for his neighbors.

Select all the statements about the situation that are true.

A. Elena makes more money for making 10 calls than Diego makes for washing 10 windows.

Elena:

$1 = 1 call

$10 = 10 calls

Diego:

27 windows = $30

10 windows = $x

Cross product

27*x = 30*10

27x = 300

x = 300/27

x = $11.11

Statement A not true

B. Diego makes more money for washing each window than Elena makes for making each call.

Diego:

10 windows = $11.11

Each window = $11.11/10

= $1.11

Statement B is true

C. Elena makes the same amount of money for 20 calls as Diego makes for 18 windows

Elena:

20 calls = $20

Diego:

18 windows = 18 × $1.11

= $19.98

Approximately $20 to the nearest whole dollar

Statement C is true

D. Diego needs to wash 35 windows to make as much money as Elena makes for 40 calls.

Diego

35 × $1.11 = $38.85

Approximately $39

Elena:

40 calls = $40

Statement D is not true

E. The equation y = x, where y is the number of dollars and x is the number of calls, represents Elena’s situation.

Statement E is true

7 0
2 years ago
How do I solve these problems?
lesya [120]

Domain:\\D:x > 0\\\\\ln x=5.6+\ln(7.5)\ \ \ \ |-\ln(7.5)\\\\\ln x-\ln7.5=5.6\ \ \ |Use\ \log x-\log y=\log\dfrac{x}{y}\\\\\ln\dfrac{x}{7.5}=5.6\ \ \ \ |use\ \log_ab=c\iff a^c=b\\\\\dfrac{x}{7.5}=e^{5.6}\ \ \ \ |\cdot7.5\\\\\boxed{x=7.5e^{5.6}}\in D

\log x=5.6-\log7.5\ \ \ \ |+\log7.5\\\\\log x+\log7.5=5.6\ \ \ \ |use\ \log x+\log y=\log (xy)\\\\\log(7.5x)=5.6\ \ \ \ |use\ \log_ab=c\iff a^c=b\\\\7.5x=10^{5.6}\ \ \ \ |:7.5\\\\\boxed{x=\dfrac{10^{5.6}}{7.5}}\in D

5 0
2 years ago
What is the solution to the system of equations?
Tatiana [17]
If you would like to know the solution to the system of equations, you can do this using the following steps:

y = –5x + 3
<span>y = 1
</span>_______________
1 =<span> –5x + 3</span> 
5x = 3 - 1
5x = 2    /5
x = 2/5 = 0.4

(x, y) = (0.4, 1)

The correct result would be (0.4, 1<span>).</span>
3 0
3 years ago
Read 2 more answers
A group of 4 friends went out for a special dinner. the items they ordered are listed below
Bond [772]
<h3><em>My friends the answer is 3.</em></h3>

<em>   24.95 + 18.96 + 17.55 + 23.14 + 12.00 + 96.60</em>

<em>   4 divided by 12 is 3</em>

<em></em>

<em></em>

<em></em>

       

3 0
2 years ago
Other questions:
  • How many solutions does the system have?
    15·1 answer
  • Solve for x 4x+ 14=6x-8
    5·1 answer
  • What is (7-3b)(7+3b)
    6·1 answer
  • Ratiooo answer and working out pleaseee!! 18 points
    13·1 answer
  • Solve for m 2 (2m - 2) = 3m + m + 3 - 7
    12·1 answer
  • Given the function f'() = –2x3 + 36x2 – 90x, determine all intervals on which<br> f is increasing
    11·1 answer
  • What is the LCM of 9 and 15?<br><br>A) 15 <br><br>B) 30 <br><br>C) 45 <br><br>D) 54
    10·2 answers
  • Find the circumference of the object. Use 3.14 or 22/7
    5·1 answer
  • Which equation best represents the relationship between x and y in the graph?
    8·1 answer
  • What is the missing value in the table below?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!