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Mama L [17]
3 years ago
5

Can someone please help me if possible Thank you ❤

Mathematics
1 answer:
uysha [10]3 years ago
6 0
I think it's b ... :0
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If a_1=2a 1 ​ =2 and a_n=(a_{n-1})^2-2a n ​ =(a n−1 ​ ) 2 −2 then find the value of a_4a 4 ​ .
Aleks04 [339]

9514 1404 393

Answer:

  2

Step-by-step explanation:

We assume your recursive formula is ...

  a_1=2\\a_n=a_{n-1}^2-2

Using this to find a4, we get ...

  a_2=a_1^2-2=2^2-2=2\\a_3=a_2^2-2=2^2-2=2\\a_4=a_3^2-2=2^2-2=2\\\\\boxed{a_4=2}

6 0
3 years ago
1. Given the equation (x – 3)2 – 32 = 17 a)
m_a_m_a [10]
We know that

The square root property<span> is one method that is used to find the solutions to a quadratic equation.  This method involves taking the square roots of both sides of the equation.  
</span>(x – 3)² – 32 = 17-------> (x – 3)² = 17+32-----------> (x – 3)² = 49
(x – 3)² = 7²--------> <span>will take the square root of each side
</span>so
√(x – 3)²=(+-)√7²------> <span>notice the use of the </span> sign (+-), this will give us both a positive and<span>  a negative root
</span>
then

x-3=7--------> x=10
x-3=-7-------> x=-4

the answer Part a) is
x=10
x=-4

Part b) Explain why the given equation has two solutions.

the answer part b) is
Because exist<span> the possibility of two roots for every square root, one positive and one negative</span>
6 0
3 years ago
A line has a y-intercept and a slope of 0. What is the line’s equation?
Gnom [1K]
The answer is y= -1

When the slope is 0, we refer to the line as a constant function. In slope intercept form, the line is equal to y = mx + b

 

"m" is the slope, and "b" is the y-intercept.

 

Let's replace those in the function.

 

y = 0*x - 1

 

0 multiplied by anything is 0

 

y = 0 - 1

y = -1

6 0
3 years ago
Consider the following 8 numbers, where one labelled
AlladinOne [14]
<h3>Answers:     x = -17  and   x = 64</h3>

====================================================

Explanation

Consider three scenarios:

  • A) The value of x is the smallest of the set (aka the min)
  • B) The value of x is the largest of the set (aka the max)
  • C) The value of x is neither the min, nor the max. So 8 < x < 39.

These scenarios cover all the possible cases of what x could be. It's either the min, the max, or somewhere in between the min and max.

--------------------

We'll start with scenario A.

If x is the min, then that must mean 39 is the max as it's the largest of the set {18, 36, 16, 39, 27, 8, 34}

The range is 56, so,

range = max - min

56 = 39 - x

56+x= 39

x = 39-56

x = -17  which is one possible answer

--------------------

If instead we go with scenario B, then x is the max and 8 is the min

range = max - min

56 = x - 8

56+8 = x

64 = x

x = 64 is the other possible answer

--------------------

Lastly, let's consider scenario C. If x is not the min or the max, then it's somewhere between the min 8 and max 39. in short, 8 < x < 39.

Note that range = max - min = 39-8 = 31 which is not the range of 56 that we want. So there's no way scenario C can be possible here.

7 0
2 years ago
Recognizing Right Triangle Scenarios
Alex Ar [27]

Answer:

Wendy leaves school to go home. She walks 60 yards north and then 80 yards west. She is 10 yards from the school.

Step-by-step explanation:

6 0
3 years ago
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