All categories

3 years ago

How do you do this equation: 9|5x+8|=54

Mathematics

1 answer:

Sergio [31]3 years ago

3 0

Answer (2 answers):

x = -2/5, x = -14/5

Step-by-step explanation:

First step is to try and get the absolute value by itself on one side and everything else that's not inside the absolute value on the other side.

9|5x+8|=54

|5x+8| = 54/9

|5x+8| = 6

Remember how absolute values turn everything positive? For example

|-4|=4, but |4|=4 as well. So we must do the same to our problem by splitting up the absolute equation into two parts.

|5x+8| = 6 and |-(5x+8)| = 6

now solve the first equation.

(Just remove the absolute value sign and solve it normally)

5x+8 = 6

5x = -2

x = -2/5

Now solve the other equation

-(5x+8) = 6

-5x - 8 = 6

-5x = 14

x = -14/5

You might be interested in

Bob is paying for music lessons for the

s2008m [1.1K]

Find out the percent of 6 and 25 combined then adds 113 to it then u have ur answer

8 0

3 years ago

Write a linear function f with f(0)=3 and f(−6)=3.<br><br> f(x)=

jeyben [28]

Answer:

y = 3

Step-by-step explanation:

The equation of a line is;

y = mx + c

Now, when f(0) = 3, it means at x = 0, y = 3.

Thus;

3 = 0 + c

3 = c

Also, f(−6) = 3

Thus;

3 = -6m + 3

6m = 3 - 3

6m = 0

m = 0/6

m = 0

Thus,equation is;

y = c

y = 3

6 0

3 years ago

Is 75% or 0.25 larger?

earnstyle [38]

Answer:

Yes because technically a percent is a decimal.So if you were to put 75% it would be 0.75 and that is grater then 0.25.

Step-by-step explanation:

I hope that help please give me Brainiest.

5 0

3 years ago

Find how much is 23% of 46 Minutes?

Natalija [7]

Answer:

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

2. A geological study indicates that an exploratory oil well drilled in a particular region should strike oil with probability 0

yKpoI14uk [10]

Answer:

3.07% probability that the third oil strike comes on the fifth well drilled.

Step-by-step explanation:

For each oil drill, there are only two possible outcomes. Either there is a strike, or there is not. The probability that oil is striken in a trial is independent of other trials. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

Strike oil with probability 0.20.

This means that $p = 0.2$

Find the probability that the third oil strike comes on the fifth well drilled.

2 strikes on the first four drills(P(X = 2) when n = 4) and strike on the fifth(0.2 probability).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 2) = C_{4,2}.(0.2)^{2}.(0.8)^{2} = 0.1536$

0.2*0.1536 = 0.0307

3.07% probability that the third oil strike comes on the fifth well drilled.

8 0

3 years ago