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-Dominant- [34]
3 years ago
15

The product of two consecutive even integers is 360. find the integers.

Mathematics
1 answer:
kaheart [24]3 years ago
7 0
Let the integers be x and x + 2, provided x is even.

x(x + 2) = 360
x² + 2x = 360
x² + 2x - 360 = 0
(x - 18)(x + 20) = 0

x = 18, or x = -20
Thus, the integers are: 18 and 20, or -20 and -18

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Compare the two linear functions. A 2-column table with 5 rows. Column 1 is labeled x with entries negative 3, negative 1, 2, 5,
labwork [276]

Answer:

Step-by-step explanation:

the table :

(-3,8.5) .....x1 = -3 and y1 = 8.5

(-1,5.5) ....x2 = -1 and y2 = 5.5

slope = (y2 - y1) / (x2 - x1) = (5.5 - 8.5) / (-1 - (-3) = - 3 / (-1 + 3) = -3/2

coordinate plane :

(-3,0), (2,0)

notice how u have the same y values of 0....this means u have a horizontal line where no matter what x is, y will always be 0. A horizontal line has a slope of 0. And ur y intercept is (0,0)

the linear function that is in the table contains a negative slope and also has a steeper slope then the one on the coordinate plane <===

3 0
3 years ago
Read 2 more answers
(x+x)^2 × -(x×(-1))=4+x-x^2 <br> solve for x, show work.
Anna71 [15]

Answer:

x = 1

x = -5/8   + i* root( 39)  / 8

or x = -5/8   - i* root( 39)  / 8

Step-by-step explanation:

(x+x)^2 × -(x×(-1))=4+x-x^2

solve for x, show work.

(x+x)^2 ×  -(x×(-1))     =   4+x-x^2

Simplify:

(2x)^2  * (-(-x))  =  4 + x -  x^2

4x*x * (-(-x)) = 4 + x - x*x

4*x*x*x  = 4  + x - x*x

4*x*x*x - 4  =  x *(1 - x)

4* (xxx - 1)  = x * (1- x)

4* (x - 1)*( x*x +x + 1)  =  x (1 - x)

4( xx + x + 1)  = -x

x = 1 is a solution.

4xx + 4x + 4 = -x

4xx + 5x + 4 = 0

x = -5/8  +   root(25 - 4*4*4) / 2*4

x = -5/8   + i* root( 39)  / 8

or x = -5/8   - i* root( 39)  / 8

also x = 1

6 0
3 years ago
Gretchen rode her snowmobile 1 1/4 miles to a snowmobile trail. She rode on the trail for 5 5/6 miles and then rode back home. W
allsm [11]

Answer:

6 18/12 OR simplified  1 6/12

Step-by-step explanation:

1 1/4 + 5 5/6=

1 + 5 = 6

5/6 + 1/4

Mulitipy fraction by 3 and 2

15/12 + 3/12 = 18/12

18/12 = 1 6/12

5 0
3 years ago
Read 2 more answers
sweet t has 2 orange picks for every five green. if there are 21 picks in all, how many picks are orange
jarptica [38.1K]
21 picks
altogether (2x+5x)=21
7x=21
x=3
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or
x=orange, y = greens
x+y=21
x/y=2/5,---->   y=5x/2
x+5x/2=21
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3 0
2 years ago
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Alika [10]

Answer:

45m

Step-by-step explanation:

9*5

5 0
2 years ago
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