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ELEN [110]
2 years ago
13

A group of friends wants to go to the amusement

Mathematics
1 answer:
Zepler [3.9K]2 years ago
5 0

Answer:

The maximum amount of people that can go to the amusement park is 15.

Step-by-step explanation:

First you create an equation to represent the question

8.75+25.75x≤420

You put the less than or equal to sign because 420 is the maximum amount of money.

Now you just solve the equation.

25.75x≤420-8.75

25.75x≤411.25

x≤411.25/25.75

x≤15.9708738

Then you have to round down because you cant have .9 of a person.

So x≤15

Then, Check your solution

8.75+(25.75 x 15)≤420

8.75+386.25≤420

395≤420

That is true. But to make sure that is the maximum add another 25.75

395+25.75≤420

420.75≤420

This is equation is false so, our answer is correct.

The maximum amount of people that can go to the amusement park is 15.

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Part of the graph of the function f(x) = (x - 1)(x + 7) is
algol [13]

Answer:

True: B, C and D

Step-by-step explanation:

The graph of the function is shown in the attached diagram.

The vertex of the parabola (parabola is the graph of the function f(x)) is at (-3,-16), because

x_v=\dfrac{1+(-7)}{2}=-3\\ \\y_v=f(-3)=(-3-1)(-3+7)=-4\cdot 4=-16

So, option A is false and option B is true.

As you can see from the graph, the function is increasing for all x>-3, thus option C is true.

The graph is positive for x<-7 and x>1 and negative for -7<x<1, so option D is true and option E is false.

8 0
3 years ago
Read 2 more answers
Create a 3rd degree polynomial function with one zero at three. Sketch a graph
DedPeter [7]

Answer:

f(x) =  {x}^{3}  - 9 {x}^{2}  + 27x - 27

Step-by-step explanation:

We want to create a third degree polynomial function with one zero at three.

In other words, we want to find a polynomial function with roots x=3 , multiplicity, 3.

Since x=3 is a solution, x-3 is the only factor that repeats thrice.

f(x) =  {(x - 3)}^{3}

We expand to get:

f(x) =  x( {x}^{2}  - 6x  + 9) - 3( {x}^{2}  - 6x + 9)

f(x) =  {x}^{3}  - 6 {x}^{2}  + 9x- 3 {x}^{2}   + 18x  - 27

This simplifies to:

f(x) =  {x}^{3}  - 9 {x}^{2}  + 27x - 27

See attachment for graph.

4 0
3 years ago
A car traveled 120 miles driving 60 miles per hour. The trip took 2 hours.
Ugo [173]
To answer this all you need to do is divide 120 by 50

120/50
2.4

So it will take 2 hours and 24 minutes (.4 of 60 to get the 24)
8 0
3 years ago
If sample data come from a population that is not normally distributed, which
yuradex [85]

Answer:

For a data from population which is not normally distributed, the sample means would be approximately a normal distribution if the sample size (n) is greater than 30

Step-by-step explanation:

For a data from population which is not normally distributed, the sample means would be approximately a normal distribution if the sample size (n) is greater than 30 i.e n ≥ 30 this is because the shape of a sample distribution depends on the sample size. But for  normal distribution population, the sample means would be approximately a normal distribution even if the sample size is less than 30;

8 0
3 years ago
Help me plz!&lt;3 asap​
nexus9112 [7]

Answer:

73,58,107,49,131

Step-by-step explanation:

m∠1=73°because alternate interior angles

m∠2= 180-49-73=58° because straight lines make 180° angles

m∠3=58+49=107° because alternate interior angles

m∠4 =49° because alternate interior angles

m∠5=180-49=131° because straight lines make 180° angles

7 0
3 years ago
Read 2 more answers
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