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Mathematics

2 answers:

ICE Princess25 [194]3 years ago

7 0

11 i think:) hoped this helped

Sliva [168]3 years ago

3 0

Answer:

Step-by-step explanation:

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I need 9-12 please!!

11Alexandr11 [23.1K]

9:
-q^2 - r^2 + 3s

-9^2 - -6^2 + 3(-20)

-9^2 = -9 * -9 = 81

81 - -6^2 + 3(-20)

-6^2 = -6 * -6 = 36

81 - 36 + 3(-20)

3(-20) = -60

81 - 36 + -60

81 + 36 = 117

117 + (-60)

117 - 60= 57

57

10:
3| x + y |^2 - (xy)^2

3| 3 + -5 |^2 - (3-5)^2

(3-5) = 2

3| 3 + -5 |^2 - 2^2

|3 + -5| = 8

3|8|^2 - 2^2

8 * 8 = 64

3(64) - 2^2

2^2 = 2*2 = 4

3(64) - 4

3*64 = 192

192 - 4 = 188

188

11:
2x^2 - 5xy - y^3

2(-3)^2 - 5(-3-2) - -2^3

(-3-2) = -5

2(-3)^2 - 5(-5) - -2^3

-3^2 = -3 * -3 = -9

2(-9) - 5(-5) - -2^3

2^3 = 2 * 2 * 2 = 8

2(-9) - 5(-5) - 8

18 - 5(-5) - 8

5(-5) = -25

18 - (-25) - 8

18 + 25 - 8

18 + 25 = 43

43 - 8 = 35

35

12: -a^2 + 7b^4 -2c^3

—4^2 + 7(-2)^4 - 2(-3)^3

4^2 + 7(-2)^4 - 2(-3)^3

4 * 4 = 16

16 + 7(-2)^4 - 2(-3)^3

-2 * -2 * -2 * -2 = 16

16 + 7(16) - 2(-3)^3

-3 * -3 * -3 = -27

16 + 7(16) - 2(-27)

7 * 16 = 112

16 + 112 - 2(-27)

2 * -27 = -54

16 + 112 - -54

16 + 112 + 54

112 + 16 = 128

128 + 54 = 182

182

8 0

3 years ago

What is the simplified form of 3/7 5/7?

pentagon [3]

Answer:

Step-by-step explanation:

3-5 is -2

3 0

3 years ago

Read 2 more answers

Tell whether the ordered pair is a solution of the given system. (-2,-4) {y=1/2x -3, y=-2x-8}

kompoz [17]

Answer:

The ordered pair $(-2,\, -4)$ is indeed a solution to the system:

$\left\lbrace\begin{aligned} & y = \frac{1}{2}\, x - 3 \\ & y = -2\, x - 8\end{aligned}\right.$ .

Step-by-step explanation:

Consider a system of equations about variables $x$ and $y$ . An ordered pair $(x_{0},\, y_{0})$ (where $x_{0}$ and $y_{0}$ are constant) is a solution to that system if and only if all equations in that system hold after substituting in $x = x_{0}$ and $y = y_{0}$ .

For the system in this question, $(-2,\, -4)$ would be a solution only if both equations in the system hold after replacing all $x$ in equations of the system with $(-2)$ and all $y$ with $(-4)$ .

The $\texttt{LHS}$ of the equation $y = (1/2)\, x - 3$ would become $(-4)$ . The $\texttt{RHS}$ of that equation would become $(1/2) \, (-2) - 3$ . The two sides are indeed equal.

Similarly, the $\texttt{LHS}$ of the equation $y = -2\, x - 8$ would become $(-4)$ . The $\texttt{RHS}$ of that equation would become $(-2)\, (-2) - 8$ . The two sides are indeed equal.

Thus, $x = (-2)$ and $y = (-4)$ simultaneously satisfy both equations of the given system. Therefore, the ordered pair $(-2,\, -4)$ would indeed be a solution to that system.