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Luden [163]
3 years ago
15

Which of the following is most likely the next step in the series?

Mathematics
2 answers:
lubasha [3.4K]3 years ago
5 0
Answer:D
Explanation:
zysi [14]3 years ago
3 0

Answer:

it's D

Step-by-step explanation:

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The difference between two integers is 8 and their product is 65. Assume that the larger of the two numbers is x. Write a quadra
zzz [600]

A quadratic equation in standard form that can be used to determine the value of x is x^{2} - 8x - 65 = 0.

The Factor of the equation from Part B is (x - 13)(x + 5)  and the possible solutions to the equation is x = 13 or -5.

The value for the second number is 5

<h3>Word Problem Leading To Quadratic Equation.</h3>

The general formula for quadratic equation in a in standard form is

ax^{2} + bx + c = 0

Given that the  difference between two integers is 8

Let the two integers = x and y,

and their product is 65. If the larger of the two numbers is x. Then,

x - y = 8 and xy = 65

Since we are looking for the value of x, make y the subject of formula in the first equation.

y = x - 8

Substitute y in the second equation.

x(x - 8) = 65

x^{2} - 8x - 65 = 0

x^{2} - 13x + 5x - 65 = 0

(x - 13)(x + 5) = 0

x = 13 or -5

We will ignore -5 since x is the larger number.

To get y Substitute x in the second equation.

xy = 65

13y = 65

y = 65/13

y = 5

Therefore, a quadratic equation in standard form that can be used to determine the value of x is x^{2} - 8x - 65 = 0. The Factor of the equation from Part B is (x - 13)(x + 5)  and the possible solutions to the equation is x = 13 or -5. The value for the second number is 5

Learn more about Quadratic Equation here: brainly.com/question/25841119

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5 0
2 years ago
Find the nth term of 1,4,3,16,5,36,7
MakcuM [25]

Answer:

64,9

Step-by-step explanation:

From my understanding the pattern would be:

Every other number is the next consecutive odd number,  

( 1, 3, 5, 7 ) are all of the consecutive odds. (So the next odd is 9.  )

That when we get to the part of where we get every other number for the remaining numbers, if you multiply the next even number by itself (square it).  

4, 16, and 36 ( they are all perfect squares.  )

They are the perfect squares of ( 2, 4, and 6) . So it makes sense that ( 8 ) is the next even number and you would square that and get ( 64 )

I hope this makes sense!!

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What do we start a convo or an argumnet about...and why?

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but heres one : Donald Trump or Biden?

heheheheheheh

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