solve the following absolute value equation.

−8 − 2 |5X – 17| = −14

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]

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

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

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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.

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

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! :)

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!

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

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:

https://brainly.com/question/6561461

#SPJ1

[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]

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]

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

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.

#SPJ1

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

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.

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 :)

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

Answer:

I think it's 23 but I might be wrong

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

Answer:

76

Step-by-step explanation:

when i text my boy he is ute

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

Answer:

c

Step-by-step explanation:

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

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?

How 0.45° is converted to equal minutes and seconds?

To learn more about minutes and seconds conversion, refer

https://brainly.com/question/2144524

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!

convert that into a percent!

24%

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

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

Answer:

$4.05

Step-by-step explanation:

45 x 9 = 4.05

Answer: 12 cubic yards

Step-by-step explanation:

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

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

Answer:

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

Answer:

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

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:

Applying Pythagoras' theorem,we obtain

Hence,the length of hypotenuse is 55.