1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Margarita [4]
3 years ago
9

Given the function f(x) = 0.5|x – 4| – 3, for what values of x is f(x) = 7?

Mathematics
2 answers:
rosijanka [135]3 years ago
7 0
7=0.5 |x-4| -3
+3                +3
10=0.5 |x-4|
10/0.5=0.5/0.5 |x-4|
20=|x-4|
             ^
-20=x-4   20=x-4
 +4    +4    +4    +4
-16=x       24=x

The answers are -16=x and 24=x

Hope this helps, an if it pleases you put as the brainliest answer!


elena-14-01-66 [18.8K]3 years ago
3 0
Remember, if a=|b| assume
a=b and -a=b

so


f(x)=7
7=0.5|x-4|-3
add 3 to both sides
10=0.5|x-4|
divide both sides by 0.5 (or times both sides by 2)
20=|x-4|
therefor

20=x-4 and -20=x-4
add 4 to both sidesr
24=x and -16=x


the values are at x=-16 and 24
You might be interested in
A machine fills containers with a particular product. Assume the filling weights are normally distributed with a variance of 0.1
Ghella [55]

Answer:

z=-0.674

And if we solve for \mu we got

\mu=12 +0.674*0.4=12.270

So then the mean is 'mu = 12.270 for this case.

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:

X \sim N(\mu,\sqrt{0.16}= 0.4)  

For this part we want to find a value a, such that we satisfy this condition:

P(X>12)=0.85   (a)

P(X   (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.  

As we can see on the figure attached the z value that satisfy the condition with 0.25 of the area on the left and 0.85 of the area on the right it's z=-0.674. On this case P(Z<-0.674)=0.25 and P(z>-0.674)=0.85

If we use condition (b) from previous we have this:

P(X  

P(z

But we know which value of z satisfy the previous equation so then we can do this:

z=-0.674

And if we solve for \mu we got

\mu=12 +0.674*0.4=12.270

So then the mean is 'mu = 12.270 for this case.

8 0
3 years ago
855000000000 in scientific notation pls help ASAP!!!
igor_vitrenko [27]

Answer:

8.55 × 10^{11}

Step-by-step explanation:

3 0
3 years ago
Multiply 5 1/2 x 1 2/5​
Masja [62]

Answer:

The answer I got was 7 7/10

(sorry if wrong!)

5 0
3 years ago
Read 2 more answers
Can some one please help me out here I’m going to get in trouble and I won’t go to my friends birthday party please help
ahrayia [7]

Answer: The awnser to C is 3/4 Because that's 0,25 and 5/4 is 1,25

Step-by-step explanation:

8 0
3 years ago
A grocery store gives away a $10 gift card to every 25th customer and a $20 gift card to every 60th customer. a. Which customer
steposvetlana [31]
To find the answer you need to find the common factor of numbers 25 and 60

25,50,75,100,125,150,175,200,225,250,275,300

60,120,180,240,300

The 300th customer will receive both cards, and a total of $220 and 17 gift cards were given away.
4 0
3 years ago
Other questions:
  • PQRS is a parallelogram, m∠Q=114∘ , and m∠R=(12x−6)∘ .<br><br> What is the value of x?
    7·1 answer
  • Help Please.
    10·1 answer
  • Find interest and amount to be paid on ₹15000 at 5% per annum after 2 years
    15·2 answers
  • What is the slope (m)
    8·1 answer
  • Y=X^2+5X+7 match each leading coefficient with its correct letter
    9·1 answer
  • Consider the equation below <br> -2(bx -5 ) =16
    11·1 answer
  • Josh made 1 1/3 pounds of trail mix on Monday. On Tuesday, Josh's friend asked him to make him 5/9 of a pound of trail mix. How
    5·1 answer
  • he math team wraps gifts as a way to raise money for traveling to competitions. They offer two choices: a plain wrapping or a de
    15·1 answer
  • Donovan is playing a word game with letter tiles. Players earn 10 points for every word they make with the tiles., plus 5 extra
    15·1 answer
  • In lines 24-27 ("Let . . . pastime"), the country
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!