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Mumz [18]
3 years ago
10

(a 3 - 2a + 5) - (4a 3 - 5a 2 + a - 2)

Mathematics
1 answer:
Andreas93 [3]3 years ago
3 0

Answer:

- 3a³ + 5a² - 3a + 7

Step-by-step explanation:

Given

(a³ - 2a + 5) - (4a³ - 5a² + a - 2)

Distribute both parenthesis noting the second is distributed by - 1

= a³ - 2a + 5 - 4a³ + 5a² - a + 2 ← collect like terms

= (a³ - 4a³ ) + 5a² + (- 2a - a) + (5 + 2)

= - 3a³ + 5a² - 3a + 7

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Which two numbers have a mean of 10 and a range of 4
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12 and 8

Step-by-step explanation:

set two numbers as x and y

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6 0
3 years ago
Answer ,how to do it.
guapka [62]

Answer:

<u>The system has two solutions:</u>

<u>x₁ = 5  ⇒ y₁ = -10</u>

<u>x₂ = -2 ⇒ y₂ = 11</u>

Step-by-step explanation:

Let's solve the system of equations, this way:

y = -3x + 5

y = x ² - 6x - 5

Replacing y in the 2nd equation:

y = x ² - 6x - 5

-3x + 5 = x ² - 6x - 5

x ² - 3x - 10 = 0

Solving for x, using the quadratic formula:

(3 +/- √(9 -4 * 1 * -10))/2 * 1

(3 +/- √9 + 40)/2

(3 +/- √49)/2

(3 +/- 7)/2

x₁ = 10/2 = 5

x₂ = -4/2 = -2

x₁ = 5  ⇒ y₁ = -10

x₂ = -2 ⇒ y₂ = 11

<u>As we can see the system has two different solutions</u>

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Step-by-step explanation:

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