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Morgarella [4.7K]
4 years ago
12

What is the solution to the equations x^2-2x+y=8 and x-y=-2

Mathematics
1 answer:
kherson [118]4 years ago
6 0
Hello!!

For the first equation:

-2x + x^2 + y = 8   (Solve for y)

y = -x^2 + 2x +8

For the second equation:

x - y = -2   (Solve for y)

-y = -x - 2

-y = x + 2

Good luck :)

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5 0
3 years ago
A certain compound has a half-life of four days. Write and use an exponential decay function to find the amount of compound rema
dimaraw [331]

Answer:

1.97 ounces

Step-by-step explanation:

-The exponential decay function is given by the formula:

P_t=P_oe^{-rt}\\\\

Given that the half-life is 4 days, we can substitute in the formula to solve the rate of decay for a single half-life:

P_t=P_oe^{rt}\\\\P_t=0.5P_o\\\\\therefore 0.5=e^{-4r}\\\\-4r=In(0.5)\\\\r=0.17329

#Since, 1 week has 7 days, 3 weeks is a 21-day period, thus, t=21.

#We substitute and solve for the amount remaining after 21days of decay:

P_t=P_oe^{-rt}\\\\=75e^{-21\times 0.17329}\\\\=1.97072\\\\\approx1.97 \ oz

Hence, the amount remaining after 3 weeks of decays is approximately 1.97 ounces

4 0
3 years ago
Replace the ? with one of the following symbols (<, >, =, or ≠) for 4 + 3 + 7 ? 7 + 0 +7 A. ≠ B. = C. < D. >
yan [13]

[ Answer ]

\boxed{=}

[ Explanation ]

4 + 3 + 7 ___ 7 + 0 + 7

Solve Each Side:

4 + 3 + 7 = 14

7 + 0 + 7 = 14

14 __ 14

14 is equal to 14, therefore the __ (Or ?) is replaced with an = sign.

\boxed{[ \ Eclipsed \ ]}

4 0
3 years ago
Change 0.72 to a percent
tino4ka555 [31]
Multiply 0.75 by 100

75 %
3 0
4 years ago
Read 2 more answers
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8 0
4 years ago
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