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Juliette [100K]
3 years ago
7

Find three consecutive odd integers such that the square of the second decreased by four times the first is seven more than six

times the third.
please help
Mathematics
1 answer:
pentagon [3]3 years ago
5 0

Answer:

x, x+2, x+4

(x+2)^2 - 4(x) = 6(x + 4) + 7

x^2 + 4x + 4 - 4x = 6x + 24 + 7

x^2 - 6x - 27 = 0

x = 9 (∨ x = -3)

The three numbers are

9, 11, 13

but it could be also

-3, -1, 1

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Mr. Bojorquez has 32 homework papers and 28 tests to return. Ms. Williams has 104 homework papers and 98 tests to return. Find e
Aleks04 [339]

Answer:

No they are not equivalent

Step-by-step explanation:

The ratio for Ms.Bojorquez is 32:28 which simplified is 8:7

The ration for Ms.Williams is 104:98 which simplified is 52:49

These rations are not equivalent.

8 0
3 years ago
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Mai’s family is traveling in a car at a constant speed of 65 miles per hour. 
Flauer [41]
It will take them a total of 3.07 hours.
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What does x equal to in the equation −7x>10
natita [175]

Answer:

Step-by-step explanation:

hello :

−7x>10

multiply by : -1   : 7x < -10

x< -10/7

5 0
3 years ago
Catie is starting a babysitting business. She spends $26 on flyers for advertising. She has an initial fee of $5 and then $3 per
Olin [163]
26+5= 31 correct?
So lets make a chart(ish lol)

Hours         $$$
1                     3
2                     6
3                     9
4                    12
5                      15 
6                      18
7                      21
8                      24
9                      27 
10                     30
11                       33
To get atleast 31 dollars you need to work 11 hours.
If you want fractions they need to work 10 1/3 hours
Hope this helped!

6 0
3 years ago
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18) If the straight line y=m X touches the circle (x - 2)^2 + (y - 6)^2 = 4, then m= ......
fenix001 [56]

Answer:

(8) d. 4/3    (9) a. (X - 4)^2 + (y-4)^2= 25

Step-by-step explanation:

8. CENTER OF CIRCLE: O (2,6)

     radius of circle : r = √4 = 2

if m = 4/3 line: y = 4/3 x

perpendicular distance (d) from center of circle to line y = 4/3 x is

d = |((4/3 x 2) + (-1) x 6)| / √((4/3)² + (-1)²) = |(-10/3)| / √(25/9) = (10/3) / (5/3) = 2

d = r means line touch with circle

9. center of circle is the intersection of the diagonals of rectangle (4,4) and its radius is 5 (illustrated)

the equation of circle: (X - 4)^2 + (y-4)^2= 25

8 0
3 years ago
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