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statuscvo [17]
3 years ago
13

Find two positive consecutive integers such that the square of the first added to three times the second is 24

Mathematics
1 answer:
Naddika [18.5K]3 years ago
7 0

Answer:

3 and 5

Step-by-step explanation:

Let the two consecutive odd integers be x and x + 2.

Now,

The given statement is

x^2 + 3 \times (x+2)=24\\x^2 + 3x+6-24 = 0 \\x^2 + 3x-18 = 0\\x^2+6x-3x-18=0\\x(x+6)-3(x+6)=0\\(x-3)(x+6)=0\\x=3,-6

Taking x=3.

Hence, two consecutive odd integers are 3 and 5.

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Sliva [168]

Answer:

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Step-by-step explanation:

a^3 is three a's being multiplied by each other. a^4 is four a's being multiplied by each other

5 0
2 years ago
A triangle has an area of 12 square millimeters. What could be the measures of the base and height of the triangle in millimeter
Taya2010 [7]

A = bh/2

12= bh/2

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8 0
3 years ago
In their last game, the school football team scored an equal number of points in each of the first three quarters, then 14points
Ksenya-84 [330]

Answer:

10 points

Step-by-step explanation:

Points scored in each of the first 3 quarter = x

Total points scored in the first 3 quarter = x + x + x

= 3x

Points scored in the fourth quarter = 14

Total points scored = 44 point

Total points scored = Total points scored in the first 3 quarter + Points scored in the fourth quarter

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44 = 3x + 14

44 - 14 = 3x + 14 - 14

30 = 3x

Divide both sides by 3

x = 30/3

= 10

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The school football team scored 10 points points in the first quarter

7 0
3 years ago
Expand (2+x)^-3<br><br><br><br><br><br><br><br> ....
pentagon [3]

Answer:

1/(x^3 + 6x^2 + 12x + 8)

Step-by-step explanation:

The first thing we do is rationalize this expression. (2+x)^-3 is written as

1/(2+x)^3

Then from there we can foil out the denominator. It is easiest to foil (2+x)(2+x) first and then multiply that product by (2+x).

(2+x)(2+x) = 4 + 4x + x^2

(4+4x+x^2)(2+x) = 8+8x+2x^2+4x+4x^2+x^3.

Then we combine like terms and put them in order to get:

x^3 + 6x^2 + 12x + 8

And of course we can't forget that this was raised to the negative third power, so our answer is 1/(x^3 + 6x^2 + 12x + 8)

6 0
2 years ago
Read 2 more answers
Type the correct answer in the box. Use numerals instead of words. Enter your answer as a fraction in simplest form, using/ for
castortr0y [4]

Answer:    

1/4

Step-by-step explanation:

Since there is 4 colors and four rooms there is a 1/4 possibility that she paints the room green.

5 0
3 years ago
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