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Nata [24]
2 years ago
14

What is the factored form of t6 − p3?

Mathematics
1 answer:
Mama L [17]2 years ago
4 0

Answer:

<em>(C).</em> <em>(t² - p)( </em>t^{4}<em> + pt² + p²) </em>

Step-by-step explanation:

a³ - b³ = (a - b)(a² + ab + b²)

t^{6} - p³ = (t²)³ - p³ = <em>(t² - p)( </em>t^{4}<em> + pt² + p²)</em>

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What is the approximate solution of this system of equaltion y=x^2+3x+3 , y=x^2+x+2
nalin [4]

Answer:

(B

The given system of equations are:

y=x^2+3x+3y=x

2

+3x+3 (1)

and y=x^2+x+2y=x

2

+x+2 (2)

Subtracting equation (2) from (1), we get

0=2x+10=2x+1

⇒2x=-12x=−1

⇒x={\frac{-1}{2}}x=

2

−1

⇒x=-0.5x=−0.5

Now, substituting the value of x=-0.5 in equation (2), we get

y=0.25-0.5+2y=0.25−0.5+2

⇒y=1.7y=1.7

Thus, the values of x and y are -0.5 and 1.7.

Therefore, the approximate solution of the given system of the equation is (-0.5, 1.7).

Hence, option (B) is correct.

3 0
2 years ago
Hector must find the sum of 50 + 83 + 50 by using mental math. Which property allows Hector to simplify the equation to 50 + 50
Nimfa-mama [501]

Answer:

The equivalent sum is 100 + 83.

Step-by-step explanation:

Hector must use the Distributive Property to make calculations quicker:

50 + 83 + 50 (Given)

50 + 50 + 83 (Conmutative Property)

50 \times (1+1) + 83 (Distributive Property)

50 \times 2 + 83 (Distributive Property)

2\times 50 + 83 (Conmutative Property)

100 + 83 (Multiplication)

183 (Sum)

The equivalent sum is 100 + 83.

4 0
3 years ago
Read 2 more answers
Find the missing numerator 3 1/3=x/6
Ipatiy [6.2K]
The answer is 20!! okay okay!!
3 0
2 years ago
2400 people attended a football game. If 4% of the people who attended were teenagers, how many teenagers attended the game?
jonny [76]
96
2400*.04
96
you are welcome
6 0
2 years ago
Which of the following represents the correct expansion of (x + 2)^5?
otez555 [7]
(x + 2)^5 = (x + 2) (x + 2) (x + 2)(x + 2)(x + 2) =
(x2 + 4x + 4)(x2+4x+4)(x+2) = ( x4 + 4x3 + 4x2 + 4x3 + 16x2 + 16x + 4x2 +16x + 16)(x+2) = ( x4 + 8x3 + 24x2 + 32x + 16)(x+2) = ( x5 + 8x4 + 24x3 + 32x2 + 16x + 2x4 + 16x3 + 48x2 + 64x + 32) =
x5 + 10x4 + 40x3 + 80x2 + 80x + 32
Answer D
8 0
3 years ago
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