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Aleks04 [339]
2 years ago
6

The number f of miles a helicopter is from its destination x minutes after takeoff is given by f (x)=40-2x. The number f of mile

s a commercial jet is from its destination x minutes after takeoff is shown in the graph below.

Mathematics
1 answer:
nevsk [136]2 years ago
7 0

Answer:

Step-by-step explanation:

Function 'f' represents the number of miles (y-values) covered by the helicopter in 'x' (x-values) minutes.

f(x) = 40 - 2x

For x = 0,

f(x) = 40 miles

For f(x) = 0,

0 = 40 - 2x

x = 20 minutes

This shows that helicopter traveled 40 miles in 20 minutes.

Similarly, given graph shows distance covered by the jet on y-axis and duration of flight on x-axis.

For x = 0,

f(x) = 500 miles

For f(x) = 0,

x = 100 minutes

Commercial jet traveled 500 miles in 100 minutes.

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An electrician earns $110 after his first hour of working for a client. His total pay based on the number of hours worked can be
ludmilkaskok [199]

Answer:

a. f(n+1) = f(n) + 20

Step-by-step explanation:

The second hour, f(2) = 130 is the wage of the first hour f(1) = 110, plus 20.

_____

You have to look at the answers and understand what they mean. (This can be difficult when they are nonsense, as here.)

b — means each successive hour of pay is 110 more than the previous one. Clearly that is not the case for the sequence given

c — equates 0 to 20, total nonsense

d — equates 0 to 110, also total nonsense

4 0
2 years ago
Read 2 more answers
A football player kicks a football downfield. The height of the football increases until it reaches a maximum height of 15 yards
tino4ka555 [31]

Answer:

kick 1 has travelled 15 + 15 = 30 yards before hitting the ground

so kick 2 travels 25 + 25 = 50 yards before hitting the ground

first kick reached 8 yards and 2nd kick reached 20 yards  

Step-by-step explanation:

1st kick travelled 15 yards to reach maximum height of 8 yards

so, it has travelled 15 + 15 = 30 yards before hitting the ground

2nd kick is given by the equation

y (x) = -0.032x(x - 50)

y = 1.6 x - 0.032x^2

we know that maximum height occurs is given as

x = -\frac{b}{2a}

y = - \frac{1.6}{2( - 0.032)} = 25

and maximum height is

y = 1.6(25) - 0.032 (25)^2

y = 20

so kick 2 travels 25 + 25 = 50 yards before hitting the ground

first kick reached 8 yards and 2nd kick reached 20 yards  

6 0
2 years ago
The number of milligrams of a certain medicine a veterinarian gives to a dog varies directly with the weight of the dog. If the
Andre45 [30]

Answer:

Step-by-step explanation:

A direct variation equation is of the form

y = kx,

where, in words, it reads "y varies directly with x" or "y varies directly as x". In order to use this as a model, we have to have enough information to solve for k, the constant of variation. The constant of variation is kind of like the slope in a straight line. It rises or falls at a steady level; it is the rate of change.

We have that a vet gives a dose of three-fifths mg to a 30 pound dog. If the dose varies directly with the weight of the dog, then our equation is

d = kw and we need to find k in order to have the model for dosing the animals.

\frac{3}{5} =k(30)

Divide both sides by 1/30 to get k alone.

(\frac{1}{30})(\frac{3}{5})=k and

k=\frac{1}{50}

Our model then is

d=\frac{1}{50}w

This means that for every pound of weight, the dog will get one-fiftieth of a mg of medicine.

7 0
2 years ago
Read 2 more answers
Janet is designing a frame for a client. She wants to prove to her client that m∠AGE ≅ m∠CHE in her sketch. What is the missing
Amiraneli [1.4K]

Answer:

I believe the answer is transative property. I'm currently taking the test so I'm not 100% sure if I'm right yet.

Step-by-step explanation:

In step one, AGE and HGB are verticle angles since they are opposite of each other. then step two is alternate interior angles because they are interior angles opposite of each other, self-explanatory. the reason I choose the transitive property over the corresponding angles theorem is because the transitive property states: among A B and C, if A=B and B=c then A=C and in this case since AGE=HGB andHGB=CHE then AGE=CHE. I hope this helps and if you know the right answer just put it in the comments, if I'm wrong ofc.  

6 0
2 years ago
Rachel, Adam, Michelle, Hannah, and James are going to the movies. They have $65 to spend on tickets and snacks. Each movie tick
Ann [662]

Answer:

1. By substitution property of inequality

5(9.5)+4.5\leq65

2. By using multiplication  in equality then we get

47.5+4.5x\leq65

3. The five friends will have 3 snacks to split.

Step-by-step explanation:

Given

Five friends have total money= $65

Cost of each movie ticket= $9.50

Cost of each snack item= $4.50

Let ,five friends have total snacks = x

Total movie tickets=5

Because total number of friends=5

The inequality expressionis given by

I Step: 5(9.5)+4.5x\leq 65

Reason: By using substitution property of inequality

47.5+4.5x\leq 65[/tex2. Step :[tex]4.5x[tex]\leq65-47.5[/tex]

4.5x\leq 17.5  ( by subtarction 47.5  from both sides)

x\leq \frac{17.5}{4.5}   ( by dividing 4.5 on both sides )

<h3>x\leq 3.889  (by simplication)</h3><h3>x=3</h3>

Because they can buy maximum 3 snacks .

Beacause the number of snacks is natural number so we can't take in rational numbers.

<h3>Hence, the five friends will have 3 snacks to split.</h3>

6 0
2 years ago
Read 2 more answers
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