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IRINA_888 [86]
3 years ago
14

What is the domain and range of d(x)=|x|-4

Mathematics
1 answer:
ser-zykov [4K]3 years ago
6 0

Answer:

Domain = (-∞,∞) { x|x∈R}

Range = { -4 , ∞} , { y|y≥-4}

Step-by-step explanation:

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8300 dollars is placed in an account with an annual interest rate of 6.5%. How much will be in the account after 14 years, to th
chubhunter [2.5K]

Answer:

(About) 20043.46 after 14 years

Step-by-step explanation:

~ Let us apply a compound interest formula not through substituting values, but through a similar way of following this formula ~

1. First let us assign the values:

interest ⇒ 6.5 percent ( % ), principle number - start value ⇒ $ 8300, time ⇒  14 years

2. Now let us convert interest ⇒ decimal form: 0.065

3. Add 1 to this value 0.065 ⇒ 1 + 0.065 = 1.065

4. Now let us take 1.065 exponentially to the power of itself 14 times, or in other words to the power of time ( 14 years ): 1.065^ 14 = 2.414874185.......

5. Multiply this infinite number by the principle number P, or most commonly known as the start value: 2.414874185....... * 8300    ⇒    

(About) 20043.46 after 14 years

5 0
4 years ago
4, Find a number x such that x = 1 mod 4, x 2 mod 7, and x 5 mod 9.
olchik [2.2K]

4, 7 and 9 are mutually coprime, so you can use the Chinese remainder theorem.

Start with

x=7\cdot9+4\cdot2\cdot9+4\cdot7\cdot5

Taken mod 4, the last two terms vanish and we're left with

x\equiv63\equiv64-1\equiv-1\equiv3\pmod4

We have 3^2\equiv9\equiv1\pmod4, so we can multiply the first term by 3 to guarantee that we end up with 1 mod 4.

x=7\cdot9\cdot3+4\cdot2\cdot9+4\cdot7\cdot5

Taken mod 7, the first and last terms vanish and we're left with

x\equiv72\equiv2\pmod7

which is what we want, so no adjustments needed here.

x=7\cdot9\cdot3+4\cdot2\cdot9+4\cdot7\cdot5

Taken mod 9, the first two terms vanish and we're left with

x\equiv140\equiv5\pmod9

so we don't need to make any adjustments here, and we end up with x=401.

By the Chinese remainder theorem, we find that any x such that

x\equiv401\pmod{4\cdot7\cdot9}\implies x\equiv149\pmod{252}

is a solution to this system, i.e. x=149+252n for any integer n, the smallest and positive of which is 149.

3 0
3 years ago
DOES ANYONE KNOW THE ANSWER PLEASE HELP
lorasvet [3.4K]

Answer:

It should be 4 or (0,4)

Step-by-step explanation:

The y-intercept is just where one of the lines of the graph crosses the y-axis, which in the picture shows it crosses at (0,4)

3 0
3 years ago
How do you find the domain and range of a function and write it in set notation? What is the process of finding it? Tips and tri
DerKrebs [107]

Answer:

Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis

Step-by-step explanation:

plz forgive me if my answer is wrong

7 0
3 years ago
Read 2 more answers
Evaluate 24. 5 PLS AND THANK YOU!!!
GREYUIT [131]

Answer:

80

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

Step-by-step explanation:

<u>Step 1: Define</u>

2⁴ · 5

<u>Step 2: Evaluate</u>

  1. Exponents:                                                                                                        16 · 5
  2. Multiplication:                                                                                                    80
4 0
3 years ago
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