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faltersainse [42]
4 years ago
10

-4(1-x)+x<-(4-2x)+4 i need an interval notation answer on this please

Mathematics
1 answer:
alex41 [277]4 years ago
7 0

Answer:

x<4/3

<- - - - - - - - ○ -------------->

0 4/3

Step-by-step explanation:

and do you want a step by step

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Which function has the same domain as y= 2√x?<br> Oy= √2x<br> O y=2³√x<br> 0₁y = √x-2<br> O y=³√x-2
dybincka [34]

The option first is correct because  y= 2√x and y= √2x have same domain which is x ≥ 0.

<h3>What is a function?</h3>

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function:

y= 2√x

From the above function the domain should be:

x ≥ 0 (because square root of negative values does not exist)

The function:

y = √(2x)

2x ≥ 0

x ≥ 0

Thus, the option first is correct because  y= 2√x and y= √2x have same domain which is x ≥ 0.

Learn more about the function here:

brainly.com/question/5245372

#SPJ1

3 0
2 years ago
Strontium-90 has a half-life of 28.8 years. If you start with a 300-gram sample of strontium-90,
Kazeer [188]

Answer:  2.66 × 10⁻¹³

<u>Step-by-step explanation:</u>

First, use the decay formula   A=A_oe^{kt}   where

  • A is the final amount (amount left)
  • A₀ is the initial amount (amount you started with)
  • k is the rate of decay (you need to solve for this)
  • t is the time

Given:

  • A = 1/2(300) = 150
  • A₀ = 300
  • k = unknown
  • t = 28.8

150=300e^{28.8k}\\\\0.5=e^{28.8k}\\\\ln(0.5)=ln(e^{28.8k})\\\\ln(0.5)=28.8k\\\\\\\dfrac{ln(0.5)}{28.8}=k\\\\\\\large\boxed{-0.0240676=k}\\

Next, input the k-value and the new t-value to solve for A.

  • A = unknown
  • A₀ = 300
  • k = -0.0240676
  • t = 1440

A=300e^{1440(-.0240676)}\\\\\large\boxed{A=2.66\times 10^{-13}}\\

5 0
4 years ago
Find X<br> A. 11√3<br> B. 33<br> C. 44√2<br> D. 33√2
igor_vitrenko [27]

Answer:

  B.  33

Step-by-step explanation:

The side opposite the 45° angle has measure 11√6×sin(45°). The side opposite the 60° angle has measure tan(60°) times that, so we have ...

  x = 11√6×sin(45°)×tan(60°) = 11√6×(√2/2)×√3 = 11×(√6)²/2

  x = 33

_____

The mnemonic SOH CAH TOA can be a useful reminder of the definitions of the trig functions. It tells you ...

  Sin = Opposite/Hypotenuse

  Tan = Opposite/Adjacent

Using these relations, we can find the sides of interest:

  Opposite = Hypotenuse × Sin . . . . for the 45° triangle

  Opposite = Adjacent × Tan . . . . . . for the 60° triangle

where the side opposite the 45° angle is the side adjacent to the 60° angle.

5 0
3 years ago
4v² +2=0<br> how do you solve
BARSIC [14]

Answer:

idk

Step-by-step explanation:

6 0
4 years ago
Using quadratics, find the value of x. ​
Iteru [2.4K]

Answer:

(x+1)+(3x+1)+(2x+4)=180 (sum od all sode of a triangle is 180)

x+1+3x+1+2x+4=180

6x+6=180

6x=180-6

x=174/6

x=66

4 0
3 years ago
Read 2 more answers
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