All categories

2 years ago

What is the solution of |x- 5|-2=10?

Mathematics

2 answers:

Lelu [443]2 years ago

8 0

Answer:

x=17, x=-7

Step-by-step explanation:

Step 1 :

Rearrange this Absolute Value Equation

Absolute value equalitiy entered

|x-5|-2 = 10

Another term is moved / added to the right hand side.

|x-5| = 12

Step 2 :

Clear the Absolute Value Bars

Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.

The Absolute Value term is |x-5|

For the Negative case we'll use -(x-5)

For the Positive case we'll use (x-5)

Step 3 :

Solve the Negative Case

-(x-5) = 12

Multiply

-x+5 = 12

Rearrange and Add up

-x = 7

Multiply both sides by (-1)

x = -7

Which is the solution for the Negative Case

Step 4 :

Solve the Positive Case

(x-5) = 12

Rearrange and Add up

x = 17

Which is the solution for the Positive Case

Step 5 :

Wrap up the solution

x=-7

x=17

max2010maxim [7]2 years ago

6 0

Answer:the answer is A

Step-by-step explanation:

x=-7 or x=17

You might be interested in

Which measure best represents the spread of the data shown below and what is its value? 10, 9, 8, 30, 7, 8, 9, 6, 7, 11

kenny6666 [7]

Lets put the numbers in order...
6,7,7,8,8,9,9,10,11,30

Q1 = 7
Q2 = (8 + 9) / 2 = 17/2 = 8.5
Q3 = 10
IQR = Q3 - Q1 = 10 - 7 = 3 <== so the interquartile range is 3

mean absolute deviation...
the mean of our data is 10.5

now we subtract the mean from every data point....and find its absolute value

6 - 10.5 = -4.5.....| -4.5| = 4.5
7 - 10.5 = -3.5.....| -3.5| = 3.5
7 - 10.5 = -3.5.....|-3.5| = 3.5
8 - 10.5 = - 2.5....|-2.5| = 2.5
8 - 10.5 = -2.5....|-2.5| = 2.5
9 - 10.5 = -1.5....|-1.5| = 1.5
9 - 10.5 = -1.5....|-1.5| = 1.5
10 - 10.5 = -0.5..| -0.5| = 0.5
11 - 10.5 = 0.5...|0.5| = 0.5
30 - 10.5 = 19.5..|19.5| = 19.5

now we take the average of these numbers
(4.5+3.5+3.5+2.5+2.5+1.5 + 1.5 + 0.5+0.5+19.5) / 10 =
40/10 = 4 <== ur mean absolute deviation

In summary :
ur interquartie range (IQR) of ur data set is 3
ur mean absolute deviation (MAD) of ur data set is 4

4 0

2 years ago

Imagine that 30% of all U.S. Households own a dog, P(A)=.3 and that 10% of U.S. households own a Honda vehicle, P(B)=.1. In addi

Ksivusya [100]

P(A|B)= P(B and A) / P(A)

P(B and A) = .3 + .10 = .13 P(A)= .3

So,
P(A|B)= .13/.3

P(A|B)= 0.43333...

3 0

2 years ago

Matty jogs 9 km/hr. Identify the correct conversion factor setup required to compute Matty's speed in m/s.

Anastaziya [24]

Answer:

2.5 m/s

Step-by-step explanation:

Matty's speed = 9 km/hr

We need to convert 9 km/hr to m/s

We know that,

1 km = 1000 m

1 hour = 3600 seconds

$v=9\times \dfrac{1000\ m}{3600\ s}\\\\=2.5\ m/s$

So, Matty jogs with the speed of 2.5 m/s.

4 0

2 years ago

The fastest runs 2,464 feet in 22.4 seconds. How many miles per hour is that?

Juliette [100K]

Thirty miles per hour. First you divide 2,464 feet by 22.4. you should get 110 feet which is per second, then you multiply it by 60 representing one minute but in seconds, you should get 6,600 feet per minute, then you multiply it by 60 mins and you should get 396,000 feet per minute. Next, you multiply 396,000 by 24 hours, the result is 9,504,000 feet per hour. Finally, you divide 9,504,000 by 5280 (there is 5280 feet in one mile) and the answer is 30 miles per hour.

4 0

3 years ago

ray and hunter sell newspapers after school. ray earns $11 more than hunter. if ray earns $25,how much money does hunter earn?

MrRa [10]

Answer:

$14

Step-by-step explanation:

This should be simple, if ray earns $11 more, than hunter earns $25-$11, or $14

6 0

2 years ago