solve the following absolute value equation.

−8 − 2 |5X – 17| = −14

Answers

Answer 1

If 5x - 17 ≥ 0, then |5x - 17| = 5x - 17 and the equation reduces to

-8 - 2 (5x - 17) = -14

-8 - 10x + 34 = -14

-10x = -40

x = 4

If 5x - 17 < 0, then |5x - 17| = -(5x - 17) = -5x + 17 and we have

-8 - 2 (-5x + 17) = -14

-8 + 10x - 34 = -14

10x = 28

x = 2.8


Related Questions

Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following probability, given the number of trials and the probability of obtaining a success. Round your answer to four decimal places.

P(X=14), n=15, p=0.8

Answers

Use the PMF for the given distribution:

[tex]P(X=x) = \begin{cases}\dbinom{15}x 0.8^x (1-0.8)^{15-x} & \text{if } x \in\{0, 1, 2, \ldots, 15\} \\ 0 & \text{otherwise}\end{cases}[/tex]

Then the probability that X = 14 is

[tex]P(X=14) = \dbinom{15}{14} 0.8^{14} 0.2^1 \approx \boxed{0.1319}[/tex]

Assume a normal distribution and that the average phone call in a certain town lasted ​12 min, with a standard deviation of 2 min. What percentage of the calls lasted less than 6 ​min?

Answers

Answer:

I think it's 23 but I might be wrong

please help me!.. as fast as possible ​please help me at fastest possible

Answers

i. 97410 greatest, 01479 least
ii. 975310 greatest, 013579 least
iii. 98765420 greatest, 02456789 least

Ashley has 100 books that she wants to give away at the rate of n books per week. Write a recursive function that represents the number of books Ashley has at any time.
The recursive function that gives the number of books Ashley has at any time is
=
, starting at
.

Answers

The recursive function that gives the number of books Ashley has at any time is f(t) = f(t-1) - n where f(0) =100

How to determine the recursive function?

The given parameters are:

Initial = 100

Rate per week, r = n

The initial number of books means that:

f(0) = 100

The rate of n means that Ashley has n less books each week.

So, we have:

f(t) = f(t-1) - n

Where t represents the number of weeks

Hence, the recursive function that gives the number of books Ashley has at any time is f(t) = f(t-1) - n where f(0) =100

Read more about sequence at:

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Pls help meeeeeeeeeeeee

Answers

Answer:

24%

Step-by-step explanation:

there are 50 numbers total

number of 4's: 7
number of 7's: 5

it's asking for the odds of a 4 or a 7 meaning that they're fine with either one. that means you can ADD the number of them up!

7 + 5 = 12

to get the odds, we need to divide!

12/50 = ?.24

convert that into a percent!

24%

let me know if you're still confused :))

Evaluate this exponential expression 7 • (6+2)^2 - 3^2=

Answers

Answer: 441

Step-by-step explanation:

[tex]7*(6+2)^2-3^2[/tex]

[tex]7*8^2-3^2[/tex]

[tex]7*64-9[/tex]

[tex]448-9[/tex]

441

Find f(3) if
f(x)=x^3+2x^2-x-1

Answers

Answer:

41

Step-by-step explanation:

[tex]f(x) =x^3 +2x^2 -x -1\\\\f(3) =3^3 +2(3^2) -3 -1\\\\~~~~~~~=27+18-4\\\\~~~~~~~=27+14\\\\~~~~~~~=41[/tex]

Buying rental property is an investment option that carries a higher risk than some other options. However, the returns can be good. Assume you have purchased a single-
family home that you intend to rent for $850 per month. You will have the following expenses:
Monthly mortgage $390
Monthly insurance $60
Semiannual property taxes $340
Repairs (yearly estimate) $500
Monthly lawn care or snow removal $100
The return on investment for the property is
% (Round to one decimal place.)

Answers

Based on the expenses involved in running the property, and the rental amount, the return on the investment would be 31.1%.

What is the return on investment?

First find the amount earned per year:

= 850 x 12

= $10,200

The yearly expenses would be:

= (390 x 12) + (60 x 12) + (340 x 2) + 500 + (100 x 12)

= 4,680 + 720 + 680 + 500 + 1,200

= $7,780

The annual ROI is:

= (10,200 - 7,780) / 10,200 x 100%

= 31.1%

Find out more on Return on Investment at https://brainly.com/question/11913993.

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8.92 x 10^6 in scientific notation

Answers

Answer:

8.92 * 10^10

Step-by-step explanation:

1. Convert to decimal notation

[tex]8.92*10^6[/tex]

The exponent is 6, making it 10 to the power of 6. As the exponent is positive, the solution is a number greater than the origin or base number. To find our answer, we move the decimal to the right 6 time(s):

8.92 -> [tex]8920000[/tex]

2. Final result

[tex]8920000[/tex]

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10.  If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

8.92 * 10^10

----------------------------------------------

Why learn this

Scientific notation, or standard form, makes things easier when working with very small or very big numbers, both of which come up frequently in the fields of science and engineering. It is used in science, for example, to convey the mass of the heavenly bodies: Jupiter’s mass is [tex]1.898*10^{27}[/tex]kg, which is easier to comprehend than writing the number 1,898 followed by 24 zeroes. Scientific notation also makes solving problems that use such high or low numbers more straightforward.

---------------------------------------------

Terms and topicsScientific Notation

Scientific notation is also referred to as scientific form or standard index form, or in the UK, standard form.

100 Points and I will mark you brainiest if right.
What is 2 x 4 x 8 x 16 x 32 x 64 divided by 2^4

Answers

Answer:

131072

Step-by-step explanation:

Let's put it into expression form and simplify as much as possible :

[tex]\frac{(2)(4)(8)(16)(32)(64)}{2^{4} }[/tex] =

[tex]\frac{2097152}{16}[/tex] =

131072

Hope this helped and have a good day

Answer: 131,072

Step-by-step explanation:

2 x 4=8

8 x 8=64

64 x 16=1024

1024 x 32=32768

32768 x 64=2097152

[tex]2^{4}[/tex]=16

2097152/16= 131072

Please Answer Fast

Find the length of the hypotenuse.

Answers

Answer:

c2= 55

Step-by-step explanation:

c2=a2+b2

=33^+44^

= 3025

or,c2=(55)2

:c=55

Answer:

H = 55

Step-by-step explanation:

Base = 33Hypotenuse = ?Altitude = 44

Applying Pythagoras' theorem,we obtain

(H)² = (B)²+(A)²(H)² = (33)² + (44)²(H)² = 1089 + 1936(H)² = 3025(H) = √(3025)H = √(55*55)H = 55

Hence,the length of hypotenuse is 55.

Find the product. 4.56 X 10=

Answers

Answer:

4.56 x 10 equals 45.6.

Step-by-step explanation:

When you multiply something by 10, you move the decimal place over to the right one, turning 4.56 into 45.6. I hope this helps! :)

A shirt and a tie together cost $58 the shirt cost $30 more than the type what is the cost of the shirt and dollars

Answers

Answer:

Shirt + tie = $ 58

shirth = 30 more than that of tie

let the price of tie be X

therefore the price of shirt = 30 + X

30 + X + X = 58

30 + 2x = 58

2x = 58 - 30

2x= 28

x = 14

x + 30

= 14 + 30

Cost of tie = $14 Cost of shirt = $44

Help, and if you can give me a step by step explanation

Answers

Answer:

the first option

Step-by-step explanation:

variability !

what does that word tell us ?

it means that there are more individuals differences.

you could also use "accuracy" as the opposite - we are aiming for the mean value ...

imagine some bow and arrow tournament.

who wins ?

the person with the highest accuracy across all the attempts (and that means the lowest variability in the results across all attempts relatively to the target center representing the predefined mean value).

now look at the graphic for neighborhood A.

and then for neighborhood B.

which one has the data points more clustered around the center (where the mean value is going to be) ? this one has lower variability than the one where the data points are having more than one cluster or are even all over the place.

remember, for the variability you have to add all the differences to the mean value. the smaller the differences to the mean value, the smaller the variability.

in neighborhood B almost all data points have a larger difference to the mean value.

so, the variability will be higher here.

Change 0.45° to equivalent minutes and seconds. Round to the nearest second if necessary.

Answers

0.45° in minutes is 27.36 minutes and in seconds is 21.6 seconds.

Why is it necessary to divide decimal degrees by 60 to obtain minutes and seconds?

In a complete rotation, circles and spheres have 360 degrees. One degree is divided into sixty minutes, and one minute is divided into sixty seconds. You may see that your measurement is 91 full degrees plus 0.456 of a degree if you have 91.456 degrees.

How 0.45° is converted to equal minutes and seconds?

To convert 0.456 degrees to minutes, multiply 0.456*60 and you will get the answer as 27.36 minutes. You now have a total of 27 minutes and 0.36 of a minute.To express 0.36 minutes seconds in decimal form, multiply 0.36*60 to get 21.6 seconds. You can round up to twenty two seconds because your decimal 0.6 is bigger than 0.5.

To learn more about minutes and seconds conversion, refer

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can you please help me? 2.1.5

Answers

[tex]~Ab_1\\\\\\=\begin{bmatrix} -2&2\\ 1&4\\ 5&-3 \end{bmatrix}\begin{bmatrix} 3\\-2 \end{bmatrix}\\\\\\=\begin{bmatrix} -6-4\\3-8\\15+6 \end{bmatrix}\\\\\\=\begin{bmatrix} -10\\-5\\21 \end{bmatrix}[/tex]

. What is the next number? 3 4 6 9 13 18 24

Answers

Answer:

3+1=4

4+2=6

6+3=9

9+4=13

13+5=18

18+6=24

24+7=31

Step-by-step explanation:

I'm just a smart guy

The answer is 31 :)))))))))))))))))))))))))))

1
2
3
4
5
6
7
8
9 10
What is the value of x in the equation xy = 30, when y = 15?
•4
•8
•80
•200

Answers

Answer:

xy=30, when y is 15 by substitute 15 in place of y then dividing both side by 15 we get x=2

Mario invested a certain amount of money in selling a fish balls. After 3 weeks, he counted his money and found out that he had 900 which was 2255 of what he originally had. How much did he invest?

Answers

Answer:

[tex]5.3 \times 105 - 2.4 \times 104[/tex]


9 < 5+y
Solve the inequality

Answers

Answer:

4<y

Step-by-step explanation:

1st step:9=5+y

2nd step: 9-5=y

3rd step: 4=y

4th step: 4<y

Answer:

y > 4 or 4 < y

Step-by-step explanation:

In this inequality, the < sign, also known as the less than sign, means that 9 is less than the value of 5 + y. Solving inequalities can be simple to do - let's begin!

9 < 5 + y

We know that we must isolate y to determine its value. We can do this by subtracting 5 from both sides of the < sign.

9 - 5 < 5 + y - 5

Simplify!

4 < y  → This means that 4 is less than y. Let's rewrite this.

y > 4 → Rewritten, your answer looks like this! This now states that y is greater than 4, which is the same as 4 being less than y.

For more information regarding inequalities, be sure to check out the following answers!

https://brainly.com/question/20085191https://brainly.com/question/12556359https://brainly.com/question/12526104

Find the value of x.
x
x = [?]

Answers

Answer:

Step-by-step explanation:

x + x + x = xxx

=> 3x = x³

=> x³ - 3x = 0

=> x(x² - 3)  = 0

=> x(x² - (√3)²) = 0

using a² - b² = (a + b)(a - b)

= x(x + √3)(x - √3) = 0

=> x = 0 , -√3 , √3

x = 0 , ±√3

Greatest common factor
3m-12n

Answers

Answer:

3

Step-by-step explanation:

To find the Greatest common factor (GCF) of 3m-12n we find the highest letters and/or numbers that is a factor of both :

3m-12n

Both have a common factor of 3 :

[tex]\frac{3m-12n}{3} = m-4n[/tex]

m-4n cannot be simplified anymore so the gcf of 3m-12n is 3.

Hope this helped and have a good day

See attached. Thank you for your help.

Answers

Answer:

76

Step-by-step explanation:

when i text my boy he is ute

Erica earned a total of $67,250 last year from her two jobs. The amount she earned from her job at the store was $1,250 more than three times the amount she earned from her job at the college. How much did she earn (in dollars) from her job at the college?

Answers

Step-by-step explanation:

x = earnings from the store

y = earnings from the college

x + y = 67,250

x = 3y + 1,250

now we use the identity of the second equation in the first equation :

(3y + 1,250) + y = 67,250

4y = 66,000

y = $16,500

x = 3y + 1,250 = 3×16,500 + 1,250 = 49,500 + 1,250 =

= $50,750

5 Keisha needs postage stamps to mail
invitations for her birthday party to
9 friends. If stamps cost 45¢ each, how
much will it cost Keisha to mail the
invitations?
LA
$

Answers

Answer:

$4.05

Step-by-step explanation:

45 x 9 = 4.05

What is the median of 3,4,5,5,7,8

Answers

the median of the set of numbers is 5.

An investor earns 12.49 percent before tax and is subject to a 32 percent tax on such earnings. Calculate the investor's after-tax rate of return.

Answers

Answer:

How do you calculate after tax rate of return?

After-tax return on investment is the net return to the investor after ordinary income and capital gains taxes are subtracted. This is calculated as: After-tax return on investment = ((P1 - Po) (1 - Tc) / Po) + C1(1 - To) / Po.

How do you calculate before tax return?

The pre-tax rate of return is calculated as the after-tax rate of return divided by one, minus the tax rate. For example, suppose a person obtains a 4.25% reporting rate for ABC shares and is subject to a 15% income tax. Therefore, the pre-tax rate of return is 5% or 4.25%/(1 - 15%).

How do you calculate real rate of return after tax and inflation?

To calculate the real rate of return after tax, divide 1 plus the after-tax return by 1 plus the inflation rate. Dividing by inflation reflects the fact a dollar in hand today is worth more than a dollar in hand tomorrow. In other words, future dollars have less purchasing power than today's dollars.      

Hope this help's :)

A spinner is divided into 12 equal sectors labeled with the letters A through L The spinner is spun 80 times.
How many times is it expected that a vowel will be spun?
——
A.) approximately 20 times
B.) approximately 25 times
C.) approximately 36 times
D.) approximately 40 times

Answers

Answer:

c

Step-by-step explanation:

the answer to this quistion is becasue 36 is an propile number

what is the volume of the solid

Answers

Answer: 12 cubic yards

Step-by-step explanation:

Volume = (1/2)(3)(4)(2)=12

In a P.7 class, 20% of the boys were absent for the Mock Examinations, of the remainder of the boys were present Find the fraction of the girls in the class.​

Answers

Fine the fraction of the girls class absent examination
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