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gulaghasi [49]
3 years ago
7

Solution of 3 |v-3| =9

Mathematics
2 answers:
katen-ka-za [31]3 years ago
5 0

Answer:

S=\left \{ 0\:or\:6 \right \}

Step-by-step explanation:

Absolute value equation has one property that explains why we'll have two solutions for that equation:

|a|=-b \Rightarrow a=-b\:and\:a=b

3|v-3|=9

Dividing by three to simplify it:

3|v-3|=9\\\frac{3|v-3|}{3}=\frac{9}{3}\Rightarrow |v-3|=3\\|v-3|=3\\

Applying that property over here, the absolute value is equal to one value and its symmetrical one. Notice that when we take the bars out v-3=3 and v-3=-3.

v-3=-3\Rightarrow v=-3+3\Rightarrow v=0\\v-3=3\Rightarrow v=3+3 \Rightarrow v=6\\S=\left \{ 0\:or\:6 \right \}

In-s [12.5K]3 years ago
4 0

Answer: v= 6,0

Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.

Hope this helps you out! ☺

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Ginger wants to join a gym. She goes to the local gym and is told that there is a one-time fee of $100 to join and then a monthl
spin [16.1K]
She has paid $460 after joining the gym for a year. First there is the joining fee of $100. Then $30 a month for a year is 30 x 12 which equals $360.
4 0
3 years ago
Read 2 more answers
A family has three children.The oldest is 4 years older than the middle,and the youngest child is 2 years younger than the middl
lesantik [10]

Answer:

The age of the youngest child = x = 6 years

The age of middle child = y = 8 years

The age of the oldest child = z = 12 years

Step-by-step explanation:

Let us represent:

The age of the youngest child = x

The age of middle child = y

The age of the oldest child = z

The sum of the ages of the children is 26.

Hence: x + y + z = 26...... Equation 1

The oldest is 4 years older than the middle

z = 4 + y

The youngest child is 2 years younger than the middle child

x = y - 2

Hence, we substitute 4 + y for z and y - 2 for x in Equation 1

x + y + z = 26...... Equation 1

y - 2 + y + 4 + y = 26

y + y + y -2 +4 = 26

3y + 2 = 26

Subtract 2 from both sides

3y + 2 - 2 = 26 - 2

3y = 26 - 2

3y = 24

y = 24/3

y = 8

Solving for x

x = y - 2

x = 8 - 2

x = 6

Solving for z

z = 4 + y

z = 4 + 8

z = 12

Therefore:

The age of the youngest child = x = 6 years

The age of middle child = y = 8 years

The age of the oldest child = z = 12 years

7 0
3 years ago
For f(x) = 2x + 1 find each value. <br> f(6) <br> f(3) <br> f(−5)
sertanlavr [38]
F(6) = 2(6) + 1
= 12 +1
= 13

f(3) = 2(3) + 1
= 6 + 1
= 7

f(-5) = 2(-5) + 1
= -10 + 1
= -9
7 0
2 years ago
2, 7, 7, 2, 2, 4<br> Mean<br> Median
maxonik [38]

Answer:

Mean= 4

Median= 3

Step-by-step explanation:

Mean

add all the numbers together (24)

and divide them by the number of numbers (6)

gives you 4

Median

put them in order from least to greatest

2,2,2,4,7,7

2,2  2,4   7,7

it leaves you between 2 and 4

which the middle is 3

so there

4 0
2 years ago
Find the area of a circle that has a diameter of 60 feet.
IrinaK [193]

Answer:

60π

Step-by-step explanation:

Hullo :D

I think this will be a piece of helpful info:

<em>The formula for finding the area of a circle if πd.</em>

<em />

In that case, we just substitute 60 (our d)

So the area will be 60π

If you want that multiplied, you'll get 188.4 (multiplying by 3.14)

Thus, the answer is $\boxed{60\pi}.

3 0
3 years ago
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