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3 years ago

Find the common difference of the arithmetic sequence 5, 14, 23, ...

Mathematics

2 answers:

vodka [1.7K]3 years ago

7 0

It’s plus 9 so the next number should be 32

stepladder [879]3 years ago

6 0

Answer: 9

Step-by-step explanation: The common difference is the difference between each of the terms in an arithmetic sequence.

Let's work backwards.

First, we take the last term we are given and

subtract the second to last term.

So here, we subtract 23 - 14 to get 9.

Now, we take 14 - 5 to get 9.

Notice that 9 is our answer in both problems above.

That means it's our common difference.

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3 years ago

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Step-by-step explanation:

4 0

3 years ago

! + 3 − 5 = 0; by completing the square

mylen [45]

Answer:

x = 1.19258 and x = −4.19258

Step-by-step explanation:

The given equation is :

$x^2+3x-5=0$

Keep x terms on the left and move the constant to the right side by adding it on both sides.

$x^2+3x=5$

Take half of the x term and square it.

$(3\times \dfrac{1}{2})^2=\dfrac{9}{4}$

then add the result to both sides

$x^2+3x+\dfrac{9}{4}=5+\dfrac{9}{4}\\\\(x+\dfrac{3}{2})^2=\dfrac{29}{4}\\\\(x+\dfrac{3}{2})=\sqrt{\dfrac{29}{4}}\\\\x=\dfrac{-3}{2}+\sqrt{\dfrac{29}{4}}\\\\x=\dfrac{-3}{2}-\sqrt{\dfrac{29}{4}}$

So,

x = 1.19258 and x = −4.19258

Hence, this is the required solution.

6 0

3 years ago

On a timer someone please help!!

photoshop1234 [79]

Answer:

B. x^1/8 y^8

Step-by-step explanation:

here are the steps so you understand better

8 0

2 years ago

I need number 7 pls help :))

zubka84 [21]

Answer:

3 pizza

Step-by-step explanation:

four people eat 3/4 of pizza

4*3/4=12/4=3 pizzas

7 0

3 years ago