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4 years ago

How do you get the answer for 2 7/10- 1 1/4

Mathematics

1 answer:

IRISSAK [1]4 years ago

4 0

Answer:

Step-by-step explanation:

Convert the fraction to decimals by dividing

7/10 = 0.7 add 2 = 2.7

1/4 = 0.25 add 1 = 1.25

2.7 - 1.25 = 1.45 = 1 9/20

I'm always happy to help :)

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How to find when,<br>y=-1/3x - 3<br>

Montano1993 [528]

The -3 would be where your line crosses the y-axis, so you would plot your point at -3. your slope will always be counted as rise/run, basically meaning you would count along the y-axis a certain amount of times, in this case -1, and along the x-axis a certain amount of times, here would be three. your next plot point would be (3,-4) and so on. hope this helped!

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3 years ago

Assume {v1, . . . , vn} is a basis of a vector space V , and T : V ------> W is an isomorphism where W is another vector spac

Degger [83]

Answer:

Step-by-step explanation:

To prove that $w_1,\dots w_n$ form a basis for W, we must check that this set is a set of linearly independent vector and it generates the whole space W. We are given that T is an isomorphism. That is, T is injective and surjective. A linear transformation is injective if and only if it maps the zero of the domain vector space to the codomain's zero and that is the only vector that is mapped to 0. Also, a linear transformation is surjective if for every vector w in W there exists v in V such that T(v) =w

Recall that the set $w_1,\dots w_n$ is linearly independent if and only if the equation

$\lambda_1w_1+\dots \lambda_n w_n=0$ implies that

$\lambda_1 = \cdots = \lambda_n$ .

Recall that $w_i = T(v_i)$ for i=1,...,n. Consider $T^{-1}$ to be the inverse transformation of T. Consider the equation

$\lambda_1w_1+\dots \lambda_n w_n=0$

If we apply $T^{-1}$ to this equation, then, we get

$T^{-1}(\lambda_1w_1+\dots \lambda_n w_n) =T^{-1}(0) = 0$

Since T is linear, its inverse is also linear, hence

$T^{-1}(\lambda_1w_1+\dots \lambda_n w_n) = \lambda_1T^{-1}(w_1)+\dots + \lambda_nT^{-1}(w_n)=0$

which is equivalent to the equation

$\lambda_1v_1+\dots + \lambda_nv_n =0$

Since $v_1,\dots,v_n$ are linearly independt, this implies that $\lambda_1=\dots \lambda_n =0$ , so the set $\{w_1, \dots, w_n\}$ is linearly independent.

Now, we will prove that this set generates W. To do so, let w be a vector in W. We must prove that there exist $a_1, \dots a_n$ such that

$w = a_1w_1+\dots+a_nw_n$

Since T is surjective, there exists a vector v in V such that T(v) = w. Since $v_1,\dots, v_n$ is a basis of v, there exist $a_1,\dots a_n$ , such that

$a_1v_1+\dots a_nv_n=v$

Then, applying T on both sides, we have that

$T(a_1v_1+\dots a_nv_n)=a_1T(v_1)+\dots a_n T(v_n) = a_1w_1+\dots a_n w_n= T(v) =w$

which proves that $w_1,\dots w_n$ generate the whole space W. Hence, the set $\{w_1, \dots, w_n\}$ is a basis of W.

Consider the linear transformation $T:\mathbb{R}^2\to \mathbb{R}^2$ , given by T(x,y) = T(x,0). This transformations fails to be injective, since T(1,2) = T(1,3) = (1,0). Consider the base of $\mathbb{R}^2$ given by (1,0), (0,1). We have that T(1,0) = (1,0), T(0,1) = (0,0). This set is not linearly independent, and hence cannot be a base of $\mathbb{R}^2$

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3 years ago

13 years ago Mei what’s 35 years old. How old is she know

Anna007 [38]

Hey there!

35 years of age is her past age so to find out her age you just simply ADD her past age (which is like 35) plus 13.

YOUR EQUATION:

35 + 13 = current age

See with basic addition (two digit) you work from BACK to FORTH. So let’s do it that way to make it “easier” to solve.

5 + 3 = 8

3 + 1 = 4

Therefore, your answer SHOULD be: 48

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

4 0

3 years ago

Latisha and Raquel order two drinks for $1.50 each, two dinners for $12.99 each and share one desert for $3.50. What expression

enot [183]

Answer:

2( 1.50 + 12.99 + 3.50) = $36.08

Step-by-step explanation:

That is the distributive property way.

You multiply 2 by every number and add them all together.

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3 years ago

Help me help me help me help me help me help meHint hint wink wink there’s more than one answer

igor_vitrenko [27]

-1.08 because it is a decimal but includes a whole number other than the following fractions which are still in fractional form

7 0

3 years ago