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Ludmilka [50]
3 years ago
15

Solve the system of equations x=y-4

Mathematics
1 answer:
Illusion [34]3 years ago
5 0

Answer:

(-(23/3), -(11/3))

Step-by-step explanation:

x=y-4

2x-5y=3

=====

2x-5y=3

2(y-4)-5y=3 [Substitute (y-4) for x in the 2nd equation]

2y - 8 -5y = 3

-3y = 11

y = -(11/3)

y = -3 2/3

Use this in the 1st equation to find x:

x=y-4

x=-(11/3)-4

x = -(11/3)-(12/3)

x = -(23/3)

x = -7 2/3

See graph attached.

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the temperature fell from o degrees to 6 3/5 degrees below 0 in 2 1/5 hours. what was the temperature change per hour?
Kay [80]

<u>Answer:</u>

The temperature change per hour was -3 degrees per hour.

<u>Step-by-step explanation:</u>

We know that the temperature fell from 0 degrees to -6\frac{3}{5} degrees in a time period of 2\frac{1}{5} hours.

So to find the rate of change of the temperature, we will divide the change in temperature by the number of hours.

For that, we will change the mixed number into improper fractions and then solve:

-6\frac{3}{5}=-\frac{33}{5}degrees

2\frac{1}{5}=\frac{11}{5} hours

Temperature change per hour = \frac{-\frac{33}{5}}{\frac{11}{5}} = \frac{33}{5}*-\frac{5}{11}=-3

Therefore, the temperature change per hour was -3 degrees per hour.

7 0
3 years ago
Please solve 5/4+( -4 1/3)=?
frosja888 [35]

Step-by-step explanation:

\frac{5}{4}  + ( - 4 \times  \frac{1}{ 3} ) \\   \\  \frac{5}{4}   -  \frac{4}{3} \\  \\  \\  \frac{15 - 16}{12}  \\  \\  \frac{1}{12 }

8 0
2 years ago
Julie recently drove to visit her parents who live 120 miles away. On her way there her average speed was 20 miles per hour fast
mart [117]
40mph average there totaling 3 hours, 60mph back, totaling 2 hours. 5 hours total.
5 0
3 years ago
Please help me, I will be so thankful ​
worty [1.4K]

Answer:

Step-by-step explanation:

g(-4) = 4   ,  x < -2

g(-2) = (x - 1)²     ; -2≤x< 1

        = (-2-1)²

         = (-3)²

g(-2) = 9

g(0) = (x -1)²      ;  -2 ≤ x < 1

      = (0 -1)²

       = (-1)²

       = 1

8 0
3 years ago
The math clubs car can travel 9 meters in a second. The race track for the soap box derby is 63 meters long. How many seconds wi
zhenek [66]

Answer: it will take 7 seconds

Step-by-step explanation: 9 x 7 = 63

5 0
3 years ago
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