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2 years ago

Find the value of x^3+x^2-3× when x = -2

Mathematics

1 answer:

spayn [35]2 years ago

3 0

Answer:

-12-3×

Step-by-step explanation:

what is that last thing? is it an x or something else?

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They both increased the same

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During one team’s season, the team has won 4 games out of the 12 games they have played. The team will play 42 games by the end

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4 years ago

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Let y = (2 6) and u = (7 1). Write y as the sum of a vector in Span(u) and a vector orthogonal to .

Minchanka [31]

The question is missing. Here is the complete question.

Let y = $\left[\begin{array}{ccc}2\\6\end{array}\right]$ and u = $\left[\begin{array}{ccc}7\\1\end{array}\right]$ . Write y as the sum of a vector in Span(u) and a vector orthogonal to u.

Answer: y = $\left[\begin{array}{ccc}\frac{21}{10} \\ \frac{3}{10} \end{array}\right] + \left[\begin{array}{ccc}\frac{-1}{10}\\ \frac{57}{10} \end{array}\right]$

Step-by-step explanation: The sum of vectors is given by

y = $y_{1}$ + z

where $y_{1}$ is in Span(u);

vector z is orthogonal to it;

First you have to compute the orthogonal projection $y_{1}$ of y:

$y_{1}$ = proj y = $\frac{y.u}{u.u}.u$

Calculating orthogonal projection:

$\left[\begin{array}{c}2\\6\end{array}\right]$ . $\left[\begin{array}{c}7\\1\end{array}\right]$ = $\left[\begin{array}{c}9\\6\end{array}\right]$

$\left[\begin{array}{c}7\\1\end{array}\right]$ . $\left[\begin{array}{c}7\\1\end{array}\right]$ = $\left[\begin{array}{c}49\\1\end{array}\right]$

$y_{1} = \frac{9+6}{49+1}.u$

$y_{1} = \frac{15}{50}.u$

$y_{1} = \frac{3}{10}.u$

$y_{1} = \frac{3}{10}.\left[\begin{array}{c}7\\1\end{array}\right]$

$y_{1} = \left[\begin{array}{c}\frac{21}{10} \\\frac{3}{10} \end{array}\right]$

Calculating vector z:

z = y - $y_{1}$

z = $\left[\begin{array}{c}2\\6\end{array}\right] - \left[\begin{array}{c}\frac{21}{10} \\\frac{3}{10} \end{array}\right]$

z = $\left[\begin{array}{c}\frac{-1}{10} \\\frac{57}{10} \end{array}\right]$

Writing y as the sum:

$y = \left[\begin{array}{c}\frac{21}{10} \\\frac{3}{10} \end{array}\right] + \left[\begin{array}{c}\frac{-1}{10} \\\frac{57}{10} \end{array}\right]$

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3 years ago

Graph the line. y=-4x+6 what the graph

Aloiza [94]

So the -4x is the M and then 6 is the B. So m is the slope and B is the y-intercept. The 6 goes on the y axis and the -4 will be how the line looks. It’ll be rise (-4) over run (1).

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3 years ago

can i please get an answer for this and a vivid explanation of how to solve it please. WILL MARK AS BRAINLIEST!

Lunna [17]

Answer:

$9a^3b^3$

Step-by-step explanation:

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3 years ago

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Find the value of x^3+x^2-3× when x = -2​

Find the value of x^3+x^2-3× when x = -2