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amm1812
3 years ago
13

Please help: linear algebra problem. (Linear combinations)

Mathematics
1 answer:
DochEvi [55]3 years ago
3 0

Answer:

\left[\begin{array}{ccc}5&7\\5&-8\\3&-9\end{array}\right] \left[\begin{array}{ccc}c\\d\end{array}\right] =\left[\begin{array}{ccc}-16\\3\\-15\end{array}\right]

This tells us that:

A=\left[\begin{array}{ccc}5&7\\5&-8\\3&-9\end{array}\right]

b=\left[\begin{array}{ccc}-16\\3\\-15\end{array}\right]

Step-by-step explanation:

So we are saying we have scalars, c and d, such that:

c\left[\begin{array}{ccc}5\\5\\ 3\end{array}\right]+d\left[\begin{array}{ccc}7\\-8\\-9\end{array}\right]=\left[\begin{array}{ccc}-16\\3\\-15\end{array}\right].

So we want to find a way to express this as:

Ax=b where x is the scalar vector, \left[\begin{array}{ccc}c\\d\end{array}\right].

So we can write this as:

\left[\begin{array}{ccc}5&7\\5&-8\\3&-9\end{array}\right] \left[\begin{array}{ccc}c\\d\end{array}\right] =\left[\begin{array}{ccc}-16\\3\\-15\end{array}\right]

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Hunter-Best [27]
45|3
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45=3^2\cdot5
4 0
2 years ago
If f (x) = x2 – 2x, find:<br> f(6) = [?]
Alexxx [7]

Answer:

f(6) = 24

Step-by-step explanation:

f(x) = x^2 - 2x

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f(6) = 6^2 - 2(6)

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6 0
2 years ago
Pls help i will give brainly!!!
Hatshy [7]

Answer:

Greatest population density: Denmark

Smallest population density: The U.S.

Step-by-step explanation:

Population density = population / area

So let's find the population density of each country

For U.S

Population: 272,648,000

Area: 9,364,520 sq km

Population density: 272,648,000/9,364,520=29.1 ( rounded to the nearest tenth )

So the population density of the U.S is 29.1 people per sq km

For Denmark

Population: 5,248,000

Area: 42,077

Population density: 5,248,000/42,077=124.7 ( rounded to the nearest tenth )

So the population density of Denmark is 124.7 people per sq km

For Ghana

Population: 18,339,000

Area: 237,533

Population density: 18,339,000/237,533=77.2 ( rounded to the nearest tenth ).

So the population density of Ghana is 77.2 people per sq km

Now that we have calculated the population density of each country let's look back at the question

Which country has the greatest population density? Which country has the least?

Looking at the population densities we can conclude that Denmark has the largest population density at 124.7 people per sq km and the U.S. has the smallest population density at 29.1 people per sq km

3 0
3 years ago
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<em />

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y = -5 - 3x

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The slope is classified as "m" in this type of equation, so, the slope is -3.

Best of Luck!

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