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sesenic [268]
2 years ago
7

7n-(4n-3) combining like terms with negative coefficient and distribution

Mathematics
1 answer:
sladkih [1.3K]2 years ago
6 0

\huge\text{Hey there!}

\huge\textbf{Equation/Question:}

\mathbf{7n - (4n - 3)}

\huge\textbf{Convert equation/question to:}

\mathbf{= 7n - 1(4n - 3)}

\huge\textbf{Solving the equation/question:}

\mathbf{= 7n - 1(4n) - 1(-3)}

\mathbf{= 7n - 4n + 3}

\huge\textbf{Combine the like terms:}

\mathbf{= (7n - 4n) + 3}

\mathbf{= 7n - 4n + 3}

\mathbf{= 3n + 3}

\huge\textbf{Therefore, your answer should be:}

\huge\boxed{\frak{3n + 3}}\huge\checkmark

\huge\text{Good luck on your assignment \& enjoy your day!}

<h3>~\frak{Amphitrite1040:)}</h3>
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Which postulate proves the two<br> triangles are congruent?
sammy [17]

Answer:

<em>AAS</em>

Step-by-step explanation:

<em>because</em><em> </em><em>here </em><em>it </em><em>is </em><em>given</em><em> </em><em>that </em><em>two </em><em>angle </em><em>are</em>

<em> </em><em>equal</em>

and a side is common between both traingle

so, both traingle are congruent by

<em><u>AAS</u></em>

hope it helps

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ExtremeBDS [4]

When you raise a number to a negative exponent, change the exponent to a positive and make the complete number a fraction with 1 as the numerator.

5 ^-2 = 1/5^2

The answer is C.

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A box contains 300 raffle tickets. Only 15 tickets are winning tickets. What is the
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5%

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2 years ago
A is an m×n matrix.Check the true statements below:A. The kernel of a linear transformation is a vector space.B. If the equation
Bess [88]

Answer:

Results are (1) True. (2) False. (3) False. (4) True. (5) True. (6) True.

Step-by-step explanation:

Given A is an m\times n matrix.  Let T :U\to V  be the corresponding linear transformationover the field F and \theta be identity vector in V. Now if x\in Ker( T)\implies T(x)=\theta.

(1) The kernel of a linear transformation is a vector space : True.

Let x,y\in Ker( T), then,

T(x+y)=T(x)+T(y)=\theta+\theta=\theta\impies x+y\in Ker( T)

hence the kernel is closed under addition.

Let \lambda\in F, x\in Ker( T), then

T(\lambda x)=\lambda T(x)=\lambda\times \theta=\theta

\lambda x\in Ker(T) and thus Ket(T) is closed under multiplication

Finally, fore all vectors u\in U,

T(\theta)=T(\theta+(-\theta))=T(\theta)+T(-\theta)=T(\theta)-T(\theta)=\theta

\implies \theta\in Ker(T)

Thus Ker(T) is a subspace.

(2) If the equation Ax=b is consistent, then Col(A) is \mathbb R^m : False

if the equation Ax=b is consistent, then Col(A) must be consistent for all b.

(3) The null space of an mxn matrix is in \mathbb R^m

: False

The null space that is dimension of solution space of an m x n matrix is always in \mathbb R^n.

(4) The column space of A is the range of the mapping x\to Ax

: True.

(5) Col(A) is the set of all vectors that can be written as Ax for some x. : True.

Here Ax will give a linear combination of column of A as a weights of x.

(6) The null space of A is the solution set of the equation Ax=0.

: True

5 0
3 years ago
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