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3 years ago

Factor 3x^2-17а + 10

Mathematics

1 answer:

Nesterboy [21]3 years ago

4 0

Answer:

(3x - 2)(x - 5)

Step-by-step explanation:

3x² - 17a + 10

(3x - 2)(x - 5)

3x · x = 3x²

3x · -5 = -15x

-2 · x = -2x

-2 · -5 = 10

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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.

8 0

2 years ago

4/5 of a number is 16. What is the number?

Zepler [3.9K]

Answer:

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Which inequality is true use the number line to help

Nata [24]

Answer:

-3 1/2 > -4.5

Step-by-step explanation:

1.5 > 2 1/2 False

1/2 > 0.5 False

-2.5 > -1.5 False

-3 1/2 > -4.5 True

1.5 > 2 1/2

1/2 = 0.5

2 + 0.5 = 2.5

1.5 is not > 2.5

1.5 < 2.5

1/2 > 0.5

1/2 = 0.5

0.5 is not > 0.5

0.5 = 0.5

-2.5 > -1.5

Negative numbers are oposite of positive numbers when using inequalities. Just as 0 < 1, -1 < 0.

-2.5 is not > -1.5

-2.5 < -1.5

-3 1/2 > -4.5

1/2 = 0.5

3 + 0.5 = 3.5

-3.5 > -4.5

7 0

3 years ago

Read 2 more answers

What is the value of the expression p – 26 when p = 12?

serious [3.7K]

The answer is -14 cuz if u subtract 16 from 26 it will have nothing cuz there I s not enough so it will go to a negative 14 in order to subtract it all the way

HOPE U UNDERSTOOD:)) >_<

7 0

3 years ago

Cannnn someone help me

Eva8 [605]

Answer:

55 ft... The ladder must extend 55ft

Step-by-step explanation:

$c = \sqrt{a ^{2} + b ^{2} } \\ = \sqrt{33 ^{2} + 44 ^{2} } \\ = \sqrt{1089 + 1936 } \\ = \sqrt{3025} \\ c = 55$

4 0

3 years ago