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3 years ago

The

Mathematics

2 answers:

svetlana [45]3 years ago

7 0

Answer:

A) plot a point on 9.8 on age 9 and 11 on age 7

B) Negative

C) line of best fit is just going through the middle

Setler [38]3 years ago

7 0

Answer:

C: about 10 Hours

Step-by-step explanation:

i was on the assignment and i got C correct

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What is the volume of the cube below?

Doss [256]

Answer:

D. x^3

Step-by-step explanation:

1. Volume of cube = width*length*height

2. width, length, and height of a cube are all the same. In this case, it's x.

3. multiply x * x * x to get x^3

7 0

3 years ago

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Write the equation of the line, in slope-intercept form, with the

Zanzabum

Y = 2x-3

look at comments for more!!

7 0

3 years ago

Suppose that T : R3 → R2 is given by:

Ad libitum [116K]

Answer: The required answers are

(a) T is proved to be a linear transformation.

(b) The matrix A such that T(x) = Ax is $\begin{pmatrix}1 & 0 &0 \\ 0 & 1 &0 \end{pmatrix}$

Step-by-step explanation: We are given a linear transformation T : R³ → R² defined as follows :

$T(a,b,c)=(a,b).$

We are to

(a) prove that T is a linear transformation

and

(b) find a matrix A such that T(x) = Ax.

(a) Let s, t are any real numbers and (a, b, c), (a', b', c') ∈ R³.

Then, we have

$T(s(a,b,c)+t(a',b',c'))\\\\=T(sa+ta',sb+tb',sc+tc')\\\\=(sa+ta',sb+tb')\\\\=(sa,sb)+(ta'+tb')\\\\=s(a,b)+t(a',b')\\\\=sT(a,b,c)+tT(a',b',c').$

So, we get

$T(s(a,b,c)+t(a',b',c'))=sT(a,b,c)+tT(a',b',c').$

Therefore, T is a linear transformation.

(b) We know that B = {(1, 0, 0), (0, 1, 0), (0, 0, 1)} is a standard basis for R³ and B' = {(1, 0), (0, 1)} is a standard basis for R².

So, we have

$T(1,0,0)=(1,0)=1(1,0)+0(0,1),\\\\T(0,1,0)=(0,1)=0(1,0)+1(0,1),\\\\T(0,0,1)=(0,0)=0(1,0)+0(0,1).$

So, the matrix A such that T(x) = Ax will be given by

$\begin{pmatrix}1 & 0 &0 \\ 0 & 1 &0 \end{pmatrix}$

Thus,

(a) T is proved to be a linear transformation.

(b) The matrix A such that T(x) = Ax is $\begin{pmatrix}1 & 0 &0 \\ 0 & 1 &0 \end{pmatrix}$

4 0

3 years ago

The sum of two numbers is −91. One number is 27 less than the other. Find the numbers.

frez [133]

let x = one number

let x - 27 = second number

x + x -27 = -91

2x - 27 = -91

2x = -64

x = -32

Numbers are -32 and -59

Hope this helps! ;)

8 0

3 years ago

Number 8 please help

Mila [183]

Answer:

the children gain 1600$ each

and the adult gains 4800$

Step-by-step explanation:

Total Amount = 10,000

each person gets 100$

100$ * 4 people is 400$

10000$ - 400$ = 9600$

the adult Receives 3* more than than the children and the children all gain the same amount

theoretically there are 6 parts the money is divided in to, the adult gets three and the three children each gain one.

9600$ / 6 parts = 1600

if this is correct the adult who gets three parts would gain 4800$ and the three children would each gain 1600$

5 0

3 years ago

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