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2 years ago

Find the value of each expression.

Mathematics

1 answer:

zheka24 [161]2 years ago

3 0

Answer:

I don't know if you still need an answer but- here ya go :)

a. -22 + 5 = -17

b. -22 - (-5) = -22 + 5 = -17

c. (-22)(-5) = 110

d. (-22) / 5 = -4.4

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Andrej [43]

Answer:

Amount of money Elsa spent= amount of money given by grandmother,x - amount of money saved.

Hence for the first four weeks, amount spent= 4(x-10) as she saved 10 per week for 4 weeks.

For the next eight weeks, amount spent= 8(x-15) as she saved 15 per week for 8 weeks.

Thus the answer would be the first option.

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3 years ago

Determine if the set of polynomials {x^2 –2x+1, 2x² + 3x -4,-x2+x+5) is a linearly independent set in P2. Is it a basis for P? W

WITCHER [35]

Answer with Step-by-step explanation:

We are given that a set of polynomials ${x^2-2x+1,2x^2+3x-4,-x^2+x+5}$

We have to find that given set is a linearly independent set in $P_2$

and given set is a basis for $P_2$ or not.

Matrix of given set of polynomials

A= $\left[\begin{array}{ccc}1&-2&1\\2&3&-4\\-1&1&5\end{array}\right]$

Linearly Independent set :If any row or any column is not a linear combination of other rows or columns then the set is linearly independent set.

Any row or column is not a linear combination of other rows or columns.Therefore, given set is a linearly independent set .

We know that

$P_2=x^2$

Element of $P_2$ is of the form

$ax^2+bx+c$

Every element of $p_2$ is a linear combination of given set of polynomials.

Hence, given set is linearly independent in $p_2$ .

If any set is basis for any vector space then it satisfied the following two conditions

1.Given set is linearly independent.

2.Every element of given vector space spanned by the given set.

Given set of polynomials are linearly independent and spanned every element of $P_2$ .

Therefore, given set is as basis for $p_2$ because the set is linearly independent and spanned $P_2$ .

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3 years ago

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AnnyKZ [126]

Answer:

Adam traveled a distance of about 335 miles

Step-by-step explanation:

72.4 * 4.62 = 334.488

334.488 rounds to 335.

Adam traveled a distance of about 335 miles.

Hope this helps you! (:

-Hamilton1757

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Galina-37 [17]

Answer:

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Nat2105 [25]

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