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2 years ago

Write the solution of the given system of equations

Mathematics

1 answer:

Citrus2011 [14]2 years ago

3 0

Answer:

Step-by-step explanation:

The solution to this system of equation is (4, 10)

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For which equation is x=0 NOT a solution?

Nimfa-mama [501]

B, is the only solution where x=0 isn’t the answer because 2.5x+3=x and if u subtract the 2.5x you get 3= -1.5x and if you divide 3 by -1.5 it won’t be x=0

4 0

3 years ago

75 points. Will give certified if work is shown and the answer is correct.

Svetach [21]

Volume of the first dwarf planet (r₁ = 832 mi):

$V_1=\dfrac{4}{3}\cdot\pi\cdot r_1^3=\dfrac{4}{3}\cdot\pi\cdot 832^3=\dfrac{2303721472}{3}\pi\approx7.679\cdot10^8\pi\,\text{mi}^3$

Volume of the second dwarf planet (r₂ = 829 mi):

$V_2=\dfrac{4}{3}\cdot\pi\cdot r_2^3=\dfrac{4}{3}\cdot\pi\cdot 829^3=\dfrac{2278891156}{3}\pi\approx7.5963\cdot10^8\pi\,\text{mi}^3$

So difference between the volumes is:

$V_1-V_2\approx7.679\cdot10^8\pi-7.5963\cdot10^8\pi=0.0827\cdot10^8\pi=\boxed{8270000\pi\,\text{mi}^3}$

or if we want exact value (we use (a³-b³) = (a-b)(a²+ab+b²) ):

$V_1-V_2=\dfrac{4}{3}\cdot\pi\cdot r_1^3-\dfrac{4}{3}\cdot\pi\cdot r_2^3=\dfrac{4}{3}\pi(r_1^3-r_2^3)=\dfrac{4}{3}\pi(832^3-829^3)=\\\\\\=\dfrac{4}{3}\pi(832-829)(832^2+832\cdot829+829^2)=\\\\\\=\dfrac{4}{3}\pi\cdot3(692224+689728+687241)=4\pi\cdot2069193=\boxed{8276772\pi\,\text{mi}^3}$

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2 years ago

Solve the system of nonlinear equations: 4x - y = 4 x^2 - y = -1

rjkz [21]

(x1, y1) = (3,8)
(x2, y2) = (1,0)

6 0

3 years ago

Kara mixes different colors of paint to create new colors. The table shows the amount of paint Kara mixes per batch.

Sergio [31]

Answer:

D. Batch 5.

Step-by-step explanation:

The batch should have the same proportion of blue to white to yellow.

In Batch 1, there are two parts of blue, 1.5 parts of white, and 1 part of yellow.

In Batch 5, there are four parts of blue, 3 parts of white, and 2 parts of yellow.

4 / 2 = 2

3 / 2 = 1.5

2 / 2 = 1

Since the proportions are equal to those found in Batch 1, D. Batch 5 will create the same colors as the first batch.

Hope this helps!

8 0

3 years ago

Solve the system of equations -6y+11x=-36 -4y+7x=-24 x= y=

Papessa [141]

Answer:

Y=6

X=0

Step-by-step explanation:

Hope this helps

3 0

2 years ago