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vivado [14]
3 years ago
13

Write an expression to match the statement 1/5 of the difference between 18 and 11

Mathematics
2 answers:
Artemon [7]3 years ago
8 0

(18 - 11) \div 5
marishachu [46]3 years ago
7 0

We have to write an expression for the statement "1/5 of the difference between 18 and 11".

To do that we can break the given statement into smaller pieces like "1/5 of " and "the difference between 18 and 11"


difference means use subtraction so

the expression for the substatement "the difference between 18 and 11" will be (18-11)


Now we can club this with left out statement "1/5 of ".

word "of" indicates product.

So expression for the statement "1/5 of the difference between 18 and 11", will be

\frac{1}{5}(18-11)


Hence final answer is \frac{1}{5}(18-11).

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Let T: Mmxn(R)Mmxn(R) be the function defined
alexandr402 [8]

Answer:

True. See the explanation and proof below.

Step-by-step explanation:

For this case we need to remeber the definition of linear transformation.

Let A and B be vector spaces with same scalars. A map defined as T: A >B is called a linear transformation from A to B if satisfy these two conditions:

1) T(x+y) = T(x) + T(y)

2) T(cv) = cT(v)

For all vectors x,y \in V and for all scalars c \in R. And A is called the domain and B the codomain of T.

Proof

For this case the tranformation proposed is t: M_{mxn} (R) > M_{nxm} (R)

Where T(A) = A^T

For this case we have the following assumption:

1) The transpose of an nxm matrix is an nxm matrix

And the following conditions:

2) T(A+B) = (A+B)^T = A^T + B^T = T(A) + T(B)

And we can express like this T(A+B) =T(A) + T(B)

3) If A \in M_{mxn}(R) and c \in R then we have this:

T(cA) = (cA)^T = cA^T = cT(A)

And since we have all the conditions satisfied, we can conclude that T is a linear transformation on this case.

5 0
3 years ago
Free Bpoints because I'm dripped out in success
nevsk [136]

Answer:

why thank you :)

hope that continues for you and have an awesome day

7 0
3 years ago
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What are the coordinates of the turning point for the function f(x) = (x - 1)3 - 3? A. (-1, -3)
Naddik [55]
ANSWER

The turning point is

(1,-3).


EXPLANATION


The function given to us is

f(x) = (x - 1) ^{3}  - 3

At turning point,
f  '(x) = 0

So we need to differentiate the given function and equate it to zero.



We using the chain rule of differentiation, we obtain,
f '(x) =3 (x - 1) ^{2}

We equate this to zero to obtain,




3 (x - 1) ^{2}   = 0



We divide through by 3.


(x - 1) ^{2}   = 0

We solve for x to get,

x - 1 = 0


x = 1


We substitute this x-value in to the function to obtain the corresponding y-value of the turning point.





f(1) = (1- 1) ^{3}  - 3




f(1) = 0 - 3


f(1) = - 3

Therefore the turning point is


(1,-3)

C is the correct answer.
6 0
3 years ago
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What is the volume of the cylinder below radius 8 height 3 in pi units Answer choices: A)96pi unit^3 B)192pi unit^3 C)225pi unit
WARRIOR [948]

Hey!

The formula for finding volume of a cylinder is: π · r² · h

r = 8 \\ r^{2} = 8 \times 8 = 64

h = 3

Now multiply

\pi \times 64 \times 3 = 192\pi

<em>Your answer is B)192π units³</em>

Good luck and hope this helps! :)

7 0
3 years ago
Christy purchased an art easel at a garage sale for $30. She later sold the easel on Craigslist for $45. What was the percent in
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The percent increase by 15%

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