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2 years ago

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Mathematics

1 answer:

kakasveta [241]2 years ago

8 0

Answer:

O D. -6x(x2 + 2x+3)

Step-by-step explanation:

$-6x3 - 12x2 - 18x \\ - 6x( {x}^{2} + 2x + 3)$

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Write each of the following expressions without using absolute value: |z−6|−|z−5|, if z<5

abruzzese [7]

Answer:

The answer is 1.

Step-by-step explanation:

Given the expression:

$|z-6|-|z-5|,\ if\ z$

To find:

The expression without absolute value.

Solution:

First of all, let us learn about the absolute value function:

$y = f(x) = |x| =\left \{ {{x\ if\ x>0} \atop {-x\ if\ x$

i.e. value is x if x is positive

value is -x if x is negative

Here the given expression contains two absolute value functions:

$|z-6|$ and $|z-5|$

Using the definition of absolute value function as per above definition.

$|z-5| =\left \{ {{(z-5)\ if\ z>5} \atop {-(z-5)\ if\ z$

$|z-6| =\left \{ {{(z-6)\ if\ z>6} \atop {-(z-6)\ if\ z$

Now, it is given that z < 5 that means z will also be lesser than 6 i.e. z < 6

So, given expression $|z-6|-|z-5|,\ if\ z$ will be equivalent to :

$-(z-6) - (-(z-5))\\\Rightarrow -z+6 +z-5 = \bold{1}$

So, the expression is equivalent to 1.

6 0

3 years ago

1) A line with gradient 2 passes through (0, 4). Write down the equation of the line.

blondinia [14]

For the attached image, note that slope is the same thing as gradient.

1) y = 2x + 4

2) Substituting in x = 1 and y = 1,

1 = 4(1) + c

1 = 4 + c

c = -3

So, the equation is y = 4x - 3

7 0

1 year ago

Diya used modeling to find

slamgirl [31]

Answer:C

Step-by-step explanation: The quotient is correct because 27 tenths divided by 3 is 0.9 and 12 hundredths divided by 3 is 0.04

8 0

2 years ago

Which values of x and y will make this quadrilateral a parallelogram?

Colt1911 [192]

Answer:

X = 6

y = 4

Step-by-step explanation:

5 0

2 years ago

Can anyone tell me if these answers are right?

k0ka [10]

Answer:

Ummm. 1 & 3 look good double check 2

Step-by-step explanation:

HELPFUL?

8 0

3 years ago