All categories

3 years ago

PLEASE HELP!

2 answers:

4 0

Equations with absolute value:

$|f(x)| = k$

Where k is a positive number; if k is a negative number, the equation is impossible (absolute value is always positive).

How to solve:

$|f(x) | = k$
$- f(x) = k \: \: or \: \: f(x) = k$

Then:
1. |x+7|=12
x+7=12 V -x-7=12
x=5 V -x=19
x=5 V x=-19
{-19, 5}

2. |2x+4|=8
2x+4=8 V -2x-4=8
2x=4 V -2x=12
x=2 V x=-6

3. 3|3k|=27
3×3k=27 V 3×(-3k)=27
9k=27 V -9k=27
k=3 V k=-3
{-3, 3}

4. 5|b+8|=30
5×(b+8)=30 V 5×(-b-8)=30
5b+40=30 V -5b-40=30
5b=-10 V -5b=70
b=-2 V b=-14
{-14, -2}

5. |m+9|=5
m+9=5 V -m-9=5
m+9=5 V m+9=-5

Ostrovityanka [42]3 years ago

3 0

Answer:

Equations with absolute value:

Where k is a positive number; if k is a negative number, the equation is impossible (absolute value is always positive).

How to solve:

Then:

1. |x+7|=12

x+7=12 V -x-7=12

x=5 V -x=19

x=5 V x=-19

{-19, 5}

2. |2x+4|=8

2x+4=8 V -2x-4=8

2x=4 V -2x=12

x=2 V x=-6

3. 3|3k|=27

3×3k=27 V 3×(-3k)=27

9k=27 V -9k=27

k=3 V k=-3

{-3, 3}

4. 5|b+8|=30

5×(b+8)=30 V 5×(-b-8)=30

5b+40=30 V -5b-40=30

5b=-10 V -5b=70

b=-2 V b=-14

{-14, -2}

5. |m+9|=5

m+9=5 V -m-9=5

m+9=5 V m+9=-5

Step-by-step explanation:

You might be interested in

How many time does 80 go into 170

Mice21 [21]

170 divided by 80 is 2.125, so 80 goes in 170, 2.125 times

5 0

4 years ago

What does it mean to estimate?

borishaifa [10]

An estimate is like a approximation, judgement decision or a guess at something.in numbers or amount.

8 0

3 years ago

Read 2 more answers

There are (n r) different linear arrangements of n balls of which r are black and n-r are white. give a combinatorial explanatio

Vanyuwa [196]

Answer:

$\frac{n!}{r!(n-r)!}$

Step-by-step explanation:

Combinatorial explanation:

The n balls have to be arranged in n positions and the only distinction is where are the black and where white balls are.

We can choose the position of black balls in $\binom{n}{r}$ ways, therefore, white ones are on the remaining positions.

Using binomial we can have explanation written below:

The balls can be arranged in n! possible permutations.

To be precise one particular arrangement includes $r!(n-r)!$ permutations. Since r black balls can be permuted in r! ways and white balls in (n-r)! different orders.