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3 years ago

Which of the following is the solution to |x+8|=1?

Mathematics

2 answers:

bija089 [108]3 years ago

7 0

The solution to |x+8|=1 is -7,-9

Explanation:

Given :

|x+8|=1

To Find:

The solution to |x+8|=1

Solution:

Now, we know the Properties of modulus function as

|x| = x if x>0

|x|= -x if x<0

Similarly property will be followed in the given question as

Case 1: if x>-8

Then the given equation will become as

|x+8|= x+8=1

After solving the equation , we will get

x= -7

Similarly,

Case2: if x<-8

Then the given equation will become as

|x+8|= -(x+8)=1

After solving the equation , we will get

x= -9

Hence, the possible values of x are -7,-9

KonstantinChe [14]3 years ago

6 0

Answer:

-7 OR -9

Step-by-step explanation:

8-7 in the inside

Absolute value of 1 is 1

8-9 in the inside for -1

Absolute value of -1 is 1

Absolute value signs makes everything positive

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-3x6y4/-3x6y4 in simplest form

Mandarinka [93]

Answer:

Step-by-step explanation:

-3x6y4/-3x6y4

The top of the fraction is exactly the same as the bottom

So the answer is 1.

7 0

3 years ago

Read 2 more answers

Washington and Lee's Junior Varsity baseball team recorded their runs over an entire season. How many more games did the team sc

vodomira [7]

Answer:

They had 4 more 7-9 runs than 10-12 runs.

Step-by-step explanation:

First you need to identify how many games they had 7-9 runs and 10-12 runs. Next, you need to subtract the 7-9 run games by the 10-12 run games.

14-10=4

6 0

3 years ago

Automobile policies are separated into two groups: low-risk and high-risk. Actuary Rahul examines low-risk policies, connuing un

jonny [76]

Answer:

The probability that Actuary Rahul examines fewer policies that Actuary Toby = 0.2857

Step-by-step explanation:

It is said that Actuary Rahul examines a low risk policy

Probability of a low risk policy having a claim = 10% = 0.1

Actuary Toby examines high risk policy

Probability of a high risk policy having a claim = 20% = 0.2

Let the number of policies examined by actuary Rahul before he finds a claim and stop be n

Probability that actuary Rahul examines exactly n policies = $0.9^{n-1} (0.1)$

Probability that Toby examines more than n policies = $0.8^n$

Since the claim statuses of policies are mutually independent, the probability that both events happen simultaneously = $0.9^{n-1} (0.1) (0.8)^n$

probability that both events happen simultaneously = $\frac{0.1}{0.9} (0.72^{n})$

The probability that Actuary Rahul examines fewer policies that Actuary Toby = $\sum\limits^ \infty_1 {\frac{0.1}{0.9} 0.72^{n} }$ = $\frac{1}{9}\sum\limits^ \infty_1 { 0.72^{n} } = \frac{1}{9} (\frac{0.72}{1-0.72} ) = \frac{1}{9} (\frac{0.72}{0.28} )$

The probability that Actuary Rahul examines fewer policies that Actuary Toby = 0.2857

5 0

3 years ago

Find the solution to the system of equations: x 3y = 7 and 2x 4y = 8 1. isolate x in the first equation: 2. substitute the value

DIA [1.3K]

The solution to the system of equation are x = -2 and y = 3

<h3>How to find the solution of a system of equation?</h3>

x + 3y = 7

2x + 4y = 8

Let's isolate x in the first equation

x = 7 - 3y

substitute the value of x in the second equation.

Therefore,

2(7 - 3y) + 4y = 8

14 - 6y + 4y = 8

-2y = 8 - 14

-2y = -6

y = -6 / -2

y = 3

Hence,

x + 3(3) = 7

x = 7 - 9

x = -2

learn more on equation here: brainly.com/question/12926248

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4 0

2 years ago

What type of triangle is formed by joining the points D(7,3), E(8,1) and F(4,-1)

andreyandreev [35.5K]

Calculate the lengths of the sides of the triangle:

The triangle has three different sides, so it's a scalene triangle.

Now if c is the longest side of the triangle, and a and b are the shorter sides, then:

- if , the triangle is right

- if , the triangle is acute

- if , the triangle is obtuse

The longest side is 5.

The square of the longest side is equal to the sum of the squares of the shorter sides, so it's a right triangle.

The triangle is a right scalene triangle.

6 0

3 years ago