All categories

3 years ago

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! ☺

You might be interested in

NO LINKS!! Please help me with this problem

iogann1982 [59]

${\qquad\qquad\huge\underline{{\sf Answer}}}$

The given figure shows a vertical hyperbola with its centre at origin, and as we observe the figure, we can conclude that :

Length of transverse axis is :

$\qquad \sf \dashrightarrow \: 2b = 12$

$\qquad \sf \dashrightarrow \: b = 6$

length of conjugate axis is :

$\qquad \sf \dashrightarrow \: 2a = 8$

$\qquad \sf \dashrightarrow \: a = 4$

Equation of hyperbola ~

$\qquad \sf \dashrightarrow \: \cfrac{ {y}^{2} }{ {b}^{2} } - \cfrac{ {x}^{2} }{ {a}^{2} } = 1$

plug in the values ~

$\qquad \sf \dashrightarrow \: \cfrac{ {y}^{2} }{ {6}^{2} } - \cfrac{ {x}^{2} }{ {4}^{2} } = 1$

$\qquad \sf \dashrightarrow \: \cfrac{ {y}^{2} }{ {36}^{} } - \cfrac{ {x}^{2} }{ {16}^{} } = 1$

5 0

2 years ago

Read 2 more answers

17. Which of the following is TRUE? ( 5 points) a. The mean tells us, roughly, how much the data deviate from the average. b. Th

svp [43]

Answer:

c. The Mean of Normal Distribution is related to the average of the data set. The Standard deviation is related to data variation.

Step-by-step explanation:

(a) No, mean don't tell us how much the data deviate from the average, Standard deviation tells us. So, Option (a) is incorrect.

(b) No, mean is greatly affected by extreme values. But Median is good to measure central tendency when there is outlier present in data. So, Option (b) is also incorrect.

(c) Here Mean and Standard deviation are correctly defined. Hence, this is only the correct answer.

(d) No, It is the definition of mean not of Standard Deviation. So, this option is also incorrect.

Further, Mean is used to measure the central tendency of data which represents the whole data in the best way. It can be found as the ratio of the sum of all the observations to the total number of observations.

4 0

3 years ago

Something times something that equals 7

Anestetic [448]

Well since two solid numbers cant make 7 I would do 3.5 x 7

3 0

3 years ago

Read 2 more answers

Solve the following inequality.

Luden [163]

First simplify.
$-\frac{2}{3}x \ \textgreater \ \mathrm{Multiply\:fractions}:\ \:a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c} \ \textgreater \ -\frac{2x}{3}$

$\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)} \ \textgreater \ \ \textgreater \ \frac{2x}{3}\ \textless \ -8$

$\mathrm{Multiply\:both\:sides\:by\:}3 \ \textgreater \ \frac{3\cdot \:2x}{3}\ \textless \ 3\left(-8\right) \ \textgreater \ Simplify \ \textgreater \ 2x\ \textless \ -24$

$\mathrm{Divide\:both\:sides\:by\:}2 \ \textgreater \ \frac{2x}{2}\ \textless \ \frac{-24}{2} \ \textgreater \ Simplify \ \textgreater \ x\ \textless \ -12$

$Therefore\; x\ \textless \ -12 \;is\;our\;answer!$

Hope this helps!

7 0

3 years ago

ASAP

Pie

Answer:

36/-4

Step-by-step explanation:

A positive number divided by a negative number will<em> always </em> be negative, and a negative number divided by a positive number will <em>always </em>be negative!

Hope this helps!

6 0

3 years ago

Read 2 more answers