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Otrada [13]
3 years ago
14

A toy company is releasing a new catapult for water balloons that launches them at 9.8 meters per second from a stand 0.6 meters

tall. The function f(x) = −4.9x2 + 9.8x + 0.6 describes the path of the water balloon, where x is the amount of time since the launch. While the mathematical range is y ≤ 5.5, how does the reasonable range compare? The reasonable range is limited to y ≥ 0. The reasonable range is limited to y ≥ 0.6. The reasonable range is limited to 0 ≤ y ≤ 5.5. The reasonable range is limited to 0.6 ≤ y ≤ 5.5.
Mathematics
1 answer:
Over [174]3 years ago
3 0

Answer:

D

Step-by-step explanation:

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Find the zeros of the function.
Slav-nsk [51]

Answer:

see explanation

Step-by-step explanation:

To find the zeros equate g(x) to zero, that is

(x - 2)(3x + 3) = 0

Equate each factor to zero and solve for x

x - 2 = 0 ⇒ x = 2

3x + 3 = 0 ( subtract 3 from both sides )

3x = - 3 ( divide both sides by 3 )

x = - 1

Hence

smaller x = - 1

larger x = 2

8 0
3 years ago
Read 2 more answers
Help please! 10 points!
NISA [10]

Let's assume

number of chairs =x

number of tables =y

we are given

Gavin builds furniture for a living. he Sells chairs for $45 and tables for $70 each

So, we can find objective function as

Z=45x+70y

now, we can find inequalities

A table requires 10 hours and $15 worth of supplies to make

so, total hours to make table =10y

amount spent on table =15y

It takes Gavin 4 hours and $10 worth of supplies to build each chair

so, total hours to make chair =4x

amount spent on chair =10x

total number of hours to make chair and table =4x+10y

Gavin wants to work for no more than 40 hours per week

so, we get

4x+10y\leq 40

spend no more than $80 on materials

so, we get

10x+15y\leq 80

so,

objective function:

Z=45x+70y

Constraints:

4x+10y\leq 40

10x+15y\leq 80



7 0
3 years ago
Cabs charge $3.60 Flag Fall plus $2.19 per km. (a) Write down an equation to calculate the cost, C, of cab fare for a distance d
Softa [21]

(a) C = 3.60+2.19d

(b) The cab fare will be $36.45 for a distance of d kilometers.

Step-by-step explanation:

Given,

Charges of Flag Fall = $3.60

Per kilometer charges = $2.19

Let,

d be the total distance.

C be the total cost for d kilometers.

(a) Write down an equation to calculate the cost, C, of cab fare for a distance d kilometres.

Total cost = Charges of flag fall + Per kilometer charges * distance

C = 3.60+2.19d

(b) Use your equation to calculate the cost of cab fare for a distance of 15 km.

Here,

d=15

Putting in Equation

C=3.60+2.19*15\\C=3.60+32.85\\C=36.45

The cab fare will be $36.45 for a distance of d kilometers.

Keywords: distance, addition

Learn more about addition at:

  • brainly.com/question/13035995
  • brainly.com/question/13062539

#LearnwithBrainly

4 0
3 years ago
Combine like terms to simplify the expression:<br><br> 3.26d+9.75d-2.65
gogolik [260]
3.26d+9.75d-2.65 =13.01d−2.65



4 0
2 years ago
Read 2 more answers
Alice purchased paint in a bucket with a radius of 3.5 inches and a height of 8 inches The paint cost $0.05 per cubic inch.
Zinaida [17]

Answer:

  $15.39

Step-by-step explanation:

The volume of the cylinder is given by ...

  V = πr²h = 3.14·(3.5 in)²·(8 in) = 307.72 in³

Since each cubic inch costs $0.05, the total cost is ...

  $0.05 · 307.72 ≈ $15.39

3 0
3 years ago
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