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Juliette [100K]
3 years ago
9

Write an expression to describe the sequence below. Use n to represent the position of a

Mathematics
1 answer:
MrRa [10]3 years ago
7 0

Answer:

n+1=x-1

Step-by-step explanation:

as n goes up, x decreases by 1 each time

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A hovercraft takes off from a platform.
lubasha [3.4K]

Answer:

81 meters.

Step-by-step explanation:

The height (in meters), h(x) of a hovercraft x seconds after takeoff, is modeled by:

h(x)=-3(x-3)^2+108

We are to determine its height at the time of takeoff.

Now, at the time of takeoff, x=0.

We substitute x=0 to solve for h.

h(0)=-3(0-3)^2+108\\=-3(-3)^2+108\\=-3(9)+108\\=-27+108\\=81$ meters

The height of the hovercraft at takeoff is 81 meters.

7 0
3 years ago
Read 2 more answers
A trinomial with a leading coefficient of 3 and a constant term of -5
Yakvenalex [24]
This is one example of a trinomial with a leading coefficient of 3 and a constant term of -5

4 0
3 years ago
Read 2 more answers
I got the first part but cant figure out the second, help would be appreciated
azamat

Answer:

see explanation

Step-by-step explanation:

look at the explanation& answer photo

6 0
2 years ago
How can I factor 5x^2 + 26x - 24 = 0 using the completing the square method.
kifflom [539]
<h2><u>QUADRATIC EQUATION</u></h2>

<h2>\mathbb{ANSWER:}</h2>
  • \bold{x = 0.8 \: } \:  \sf \:  {\color{grey}or} \:  \:  \:  \bold{ x=  \frac{4}{5} } \\

  • \bold{x =  - 6}

— — — — — — — — — —

<h3>Step-by-step explanation:</h3>

<u>How can </u><u>we</u><u> factor 5x^2 + 26x - 24 = 0 using the completing the square </u><u>method?</u>

Let's solve your equation step-by-step.

\bold{Given \:  Equation: \color{brown} 5x²+26x-24=0}

First, add 24 to both sides.

  • \bold{5x²+26x-24 - \purple{ 24} = 0 +  \purple{24}}

  • \bold{ \implies \: 5x²+26x = 24 }

Since the coefficient of 5x² is 5, divide both sides by 5.

  • \bold{ \frac{5 {x}^{2} + 26x }{5} =  \frac{24}{5}  } \\

  • \bold{ \implies \:  {x}^{2} +  \frac{26}{5} x =  \frac{24}{5}  } \\

The coefficient of 26/5x is 26/5. So, let b=26/5.

Then we need to add (b/2)²=169/25 to both sides to complete the square.

Add 169/25 to both sides.

  • \bold{ {x}^{2} +  \frac{26}{5} x +  \frac{  \purple{169}}{ \purple{25}}=  \frac{24}{5}    +  \frac{ \purple{169}}{ \purple{25}} } \\

  • \bold{ \implies \:\bold{ {x}^{2} +  \frac{26}{5} x +  \frac{  169}{ {25}}=  \frac{289}{25}  } } \\

Factor the left side.

  • \bold{(x +  \frac{13}{5} ) {}^{2} =  \frac{289}{25}  } \\

Take square root.

  • \bold{x +  \frac{13}{5} = ±  \:  \sqrt{ \frac{289}{25}  }} \\

Then, add (-13)/5 to both sides.

  • \bold{x +  \frac{13}{5} +  \frac{\purple{ - 13} }{\purple{ 5}} = \frac{{ - 13} }{{ 5}} ± \:      \sqrt{ \frac{289}{25}}} \\

  • \bold{  \: x =  \frac{ - 13}{5} ± \sqrt{ \frac{289}{25} } } \\

  • \implies \: \underline{ \boxed{ \bold{   \frac{4}{5}  } \sf  \:  \: or \:  \:  \bold{ x =  - 6}}} \\

_______________❖_______________

3 0
2 years ago
Read 2 more answers
A jogger goes 1.5km west and then turns south.If the jogger finishes 1.7 km from the starting point,how far south did the jogger
kakasveta [241]
Hello!

You can use the Pythagorean Theorem to solve this

a^{2} + b^{2} = c^{2}

c is the hypotenuse
a and b are the legs

Put in the values you know

1.5^{2} + b^{2} = 1.7^{2}

Square the numbers

2.25+ b^{2} =2.89

Subtract 2.25 from both sides

b^{2} =0.64

Take the square root of both sides

b = 0.8

The answer is 0.8km

Hope this helps!
6 0
3 years ago
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