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2 years ago

10. Find three consecutive even integers such that the product of the first and the second is 92 more

Mathematics

1 answer:

zzz [600]2 years ago

7 0

Answer:

10, 12, 14 or -10, -8, -6

Step-by-step explanation:

We can let x represent the middle integer. Then the smaller one is x-2 and the larger one is x+2. The given relation is ...

(x-2)(x) = 92 +2(x+2)

x^2 -2x = 92 +2x +4 . . . eliminate parentheses

x^2 -4x = 96 . . . . . . . . . subtract 2x

x^2 -4x +4 = 100 . . . . . . add 4 to complete the square

(x -2) = ±√100 = ±10 . . . take the square root

x = 2 ± 10 = -8 or +12 . . . . add 2

The three integers might be ...

-10, -8, -6 or 10, 12, 14

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Simplify!! Thank you :)

Nezavi [6.7K]

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$2 {x}^{2} + 8 {x}^{2} = 10 {x}^{2}$

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$4 + ( - 3) = 1$

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$10 {x}^{2} + 8x + 1$

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3 years ago

20 points if you help me on this proublem

VMariaS [17]

Answer:

1) f(x) = x/8 - 7

2) f(x) = 1 - x/3

3) f(x) = 20 - 0.25x

4) f(x) = x + 7

Step-by-step explanation:

f^-1 = 8(x + 7)

x + 7 = y/8

x = y/8 - 7

f(x) = x/8 - 7

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x = 1 - y/3

f(x) = 1 - x/3

f^-1 = 4(20 - x)

y/4 = 20 - x

x = 20 - y/4

f(x) = 20 - x/4

f(x) = 20 - 0.25x

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y = x - 7

x = y + 7

f(x) = x + 7

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3 years ago

What is the slope of this line?

alisha [4.7K]

Answer:

A line is increasing if it goes up from left to right. The slope is positive, i.e. m > 0 {\displaystyle m>0} .

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3 years ago

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likoan [24]

Answer:

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Step-by-step explanation:

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3 years ago

Read 2 more answers

Juan is going to take a flight from Orlando, Florida, to Los Angeles, California.

andreyandreev [35.5K]

Answer:

The correct option is A:

A) Time of flight = 7 hours 5 minutes

Step-by-step explanation:

For eastern time zone, t = 12:00 pm

Then, pacific time zone , t = 9:00 am

Which means the pacific time lags 3 hours to eastern time

Time of departure = 9:15 am (eastern time)

TIme of arrival = 1:20 pm (pacific time)

Either convert both of them into eastarn time zone or pacific time zone to find the time of the flight. The answer for both will be the same.

Converting both in pacific time zone.

Time of arrival = 1:20 pm (pacific time)

Time of departure = (9:15 am (eastern time) - 3 hours) (pacific time)

Time of departure = 6:15am (pacific time)

Time of flight = Time of arrival - Time of departure

Time of flight = 1:20pm - 6:15am

Time of flight = 7 hours 5 minutes

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3 years ago