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3 years ago

Divide (x^2 - 13x +40) divided by (x- 6)

Mathematics

1 answer:

kodGreya [7K]3 years ago

3 0

Answer:

The quotient is: x-7

The remainder is: -2

Step-by-step explanation:

We need to divide (x^2 - 13x +40) divided by (x- 6)

The quotient is: x-7

The remainder is: -2

The division is shown in the figure attached

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Determine if the specified linear transformation is (a) one-to-one and (b) onto. Justify your answer. T: , T()(,),

xz_007 [3.2K]

Answer:

C. T is not one-to-one because the standard matrix A has a free variable.

Step-by-step explanation:

Given

$T(x_1,x_2,x_3) = (x_1-5x_2+4x_3,x_2 - 6x_3)$

Required

Determine if it is linear or onto

Represent the above as a matrix.

$T(x_1,x_2,x_3) = \left[\begin{array}{ccc}1&-5&4\\0&1&-6\\0&0&0\end{array}\right] \left[\begin{array}{c}x_1&x_2&x_3\end{array}\right]$

From the above matrix, we observe that the matrix does not have a pivot in every column.

This means that the column are not linearly independent, & it has a free variable and as such T is not one-on-one

8 0

3 years ago

Can you help answer this question

Darina [25.2K]

1:b
2:f
3:e
4:c
5:a
6:g
7:d
8:h

8 0

3 years ago

Consider this exponential equation:

ioda

Step-by-step explanation:

F( x ) = 5 (3) ^ x

Y intercept

Let x = 0

f(0) = 5× 3 ^ 0

f(0 = 5 × 1

f(0) = 5

X intercept

let y = o

0 = 5 × 3 ^x

No x intercept/ zero

therefore

Vertical intercept (0; 5)

Domain XER

▪︎this refer to the values of X

4 0

3 years ago

Find the missing side of this right a triangle? help pls

yaroslaw [1]

Hi, there!

_____

To find the missing side length of this triangle (which is a right triangle), we'll use Pythagoras' Theorem.

$-\!\!\!-\!\!\!-\!\!\!\longrightarrow\boldsymbol{a^2+b^2=c^2}$

Here,

$\textsc{legs:}\begin{cases} \bold{a}\\\bold{b} \end{cases}$

Hypotenuse (the longest side): c

We know that

$\bold{a=2 \ and \ b=28}$

So, we can substitute our parameters, and solve for c.

$\bold{2^2+28^2=c^2}$ $-\!\!\!-\!\!\!-\!\!\!\longrightarrow$ square 2 and 28

$\bold{4+784=c^2}$ $-\!\!\!-\!\!\!-\!\!\!\longrightarrow$ add the numbers

$\bold{788=c^2}$ $-\!\!\!-\!\!\!-\!\!\!\longrightarrow$ square root both sides

$\bold{\sqrt{788}=c}$

Hope the answer - and explanation - made sense,

happy studying!!

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2 years ago

The Ambell Company uses batteries from two different manufacturers. Historically, 70% of the batteries are from manufacturer 1,

Sunny_sXe [5.5K]

Answer:

0.625

Step-by-step explanation:

Given :

Ambell company uses or procures batteries from two manufacturers.

The life of a battery in critical tool is at = 32 hours

Ambell uses 70% of its batteries from manufacturer 1 and out of that 90% batteries lasts for about 40 hours.

Similarly, 75% of the batteries procured from the manufacturer 2 lasts for about 40 hours.

Therefore, the probability that a battery is form manufacturer 1 is :

$\frac{0.4 \times 0.25}{(0.6 \times0.1)+(0.4 \times 0.25)}$

= 0.625

5 0

3 years ago