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Vlada [557]
3 years ago
8

Which of these systems of linear equations has an infinite number of solutions? 3 x minus 8 y = 21. 6 x minus 16 y = 46. 3 x + 6

y = 22. 6 x + 12 y = 44. 5 x + 7 y = 24. 10 x minus 14 y = 48. 5 x minus 9 y = 20. 10 x + 18 y = 40.
Mathematics
2 answers:
uysha [10]3 years ago
7 0

Answer:

B, 3x + 6y = 22 & 6x +12y = 44.

Step-by-step explanation:

If you multiply the first equation by 2 and solve you get a true stament 0=0

DiKsa [7]3 years ago
5 0

The answer is B, 3x + 6y = 22 & 6x +12y = 44.

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Elimination method<br> 4x-2y=48<br> 2x+6y=-18
yulyashka [42]
4x-2y=48\\ \\ 2x+6y=-18

First we'll multiply the second equation by -2


-2\cdot (2x+6y)=-2\cdot -18\\ \\ -4x-12y=36

Now let's add the new equation and the first one.

(4x-2y)+(-4x-12y)=48+36\\ \\ 4x-4x-2y-12y=48+36\\ \\ -14y=84\\ \\ y=\frac { 84 }{ -14 } \\ \\ y=-6

We found y's value. We'll plug it in one of the equations to find x's value.

y=-6\\ \\ 4x-2y=48\\ \\ 4x-2\cdot -6=48\\ \\ 4x+12=48\\ \\ 4x=48-12\\ \\ 4x=36\\ \\ x=\frac { 36 }{ 4 } \\ \\ x=9

Solution ;

(9, -6)


4 0
3 years ago
Read 2 more answers
What is the average of all the integers from 17 to 55?
natulia [17]
The average would be 36
4 0
3 years ago
What is the average speed for the interval t=1 hour to t=3 hours
inysia [295]

Answer:

7.5 miles per hour

Step-by-step explanation:

Average speed over the interval [1, 3] = (distance at 3 hrs -distance at 1 hr)/(3 hrs - 1 hr)

From the graph:

Distance at 3 hrs = 30 => (3, 30)

Distance at 1 hr = 15 => (1, 15)

Average speed = (30 - 15)/(3 - 1)

Average speed = 15/2

= 7.5

Therefore, average speed = 7.5 miles per hour

5 0
3 years ago
A bacteria culture begins with 15 bacteria which double in amount at the end of every hour. How many bacteria are grown during t
Eva8 [605]
The answer is 30720

A = P * rⁿ
A - the final population
r - the growth rate
P - the initial number of bacteria
n - the number of hours

We know:
A = ?
r = 2 (it doubles)
P = 15
n = 12

After 11 hours
A(11) = 15 * 2¹²
A(11) = 15 * 2048
A(11) = 30720

After 12 hours
A(12) = 15 * 2¹²
A(12) = 15 * 4096
A(12) = 61440

<span>How many bacteria are grown during the 12th hour?
A(12) - A(11) = 61440 - 30720 = 30720</span>
8 0
3 years ago
90 ft/h = ____ mi/min
Nezavi [6.7K]

If you mean  hours, and Minutes that is 1 hour and 30 minutes.. s a fraction that is 1 1/2. Or 90/60

7 0
3 years ago
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