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Dima020 [189]
3 years ago
7

Using the substitution method what is the POI of y=4x-5 and y=2/3x+5

Mathematics
1 answer:
Nutka1998 [239]3 years ago
3 0

(x,y) = (3,7)

Since both equations express y in terms of x we can equate them.

4x - 5 =2/3x + 5 (subtract 2/3x from both sides )

10/3x - 5 = 5 (add 5 to both sides)

10/3x = 10

multiply both sides by 3/10

x = (3× 10)/10 = 3

substitute x = 3 in either of the 2 given equations to obtain y-coordinate

y = 4x - 5 ⇒ y=(4 × 3) - 5 = 12 - 5 = 7

point of intersection = (3,7)





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Answer:

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Step-by-step explanation:

The amount of water that fits in a fish tank represents the Volume of the fish tank.

When you pour water, it occupies the space and the weight of the tank increases. So, it represent the volume

7 0
3 years ago
What does the missing angle in the triangle measure? 95° 25° ....
Whitepunk [10]
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3 0
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AD, BE, and CF intersect at point G.
EastWind [94]
Wait none of those are the answers the answer had to be 55
5 0
3 years ago
Using the quadratic formula to solve 5x = 6x²-3, what are the values of x?
Salsk061 [2.6K]

Answer:

\boxed{\sf{x =  \frac{5 \pm \sqrt{97} }{12} }}

Step-by-step explanation:

\sf{5x = 6 {x}^{2} - 3 }

\sf{0 = 6 {x}^{2} - 3 - 5x }

\sf{0 = 6 {x}^{2} - 5x - 3 }

  • a = 6
  • b = - 5
  • c = - 3

\sf{x =  \frac{ - b \pm \sqrt{ {b}^{2}  - 4ac} }{2a} }

\sf{x =  \frac{ - ( - 5) \pm \sqrt{ { - 5}^{2}  - 4(6)( - 3)} }{2(6)} }

\sf{x =  \frac{5 \pm \sqrt{ 25   + 72} }{12} }

\sf{x =  \frac{5 \pm \sqrt{97} }{12} }

8 0
2 years ago
Which is the multiple of 2 a. 75 b. 1,000 c. 2461 d. 847
WINSTONCH [101]
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The only choice that satisfies this is B. 1,000.
The rest of the choices are odd numbers; thus, they are not multiples of 2.

I hope this helps! :)
8 0
3 years ago
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