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Sergio [31]
3 years ago
9

WILL MARK BRAINLIEST!!! HELP!​

Mathematics
1 answer:
Sphinxa [80]3 years ago
7 0

Answer:

Option B, z = 2

Step-by-step explanation:

<u>Step 1:  Factor</u>

z^2 - 4z + 4 = 0

<em>(z - 2)(z - 2) = 0</em>

<em />

<u>Step 2:  Solve for z</u>

z - 2 + 2 = 0 + 2 and z - 2 + 2 = 0 + 2

z = 2 and z = 2

<em>Double root at z = 2</em>

<em />

Answer:  Option B, z = 2

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In 1992, the countries Chad and Denmark each had population of about 5.2 million. However,
irinina [24]

9514 1404 393

Answer:

  5,339,479

Step-by-step explanation:

The populations in millions of the different countries can be represented by the equations ...

  c = 5.2(1.025^t)

  d = 5.2(1.001^t)

We want to find d when c = 10. Solving for t when c=10, we have ...

  10 = 5.2(1.025^t)

  10/5.2 = 1.025^t

  log(10/5.2) = t×log(1.025)

  t = log(10/5.2)/log(1.025)

Then the value of d for that value of t is ...

  d = 5.2(1.001^(log(10/5.2)/log(1.025)) ≈ 5.3394789

The population of Denmark is about 5,339,479 when the population of Chad is 10 million.

_____

If we round the number of years to 26.5 before computing the population of Denmark, we get 5,339,571 -- about 92 more people. Ordinarily, one would not round intermediate results.

3 0
3 years ago
3(x-1)=2x+9. Solve equation
Anna11 [10]

Hello.

In order to solve this equation, we need to isolate the variable (in this case, the variable is x)

The first step is to use the Distributive Property and distribute 3:

\mathrm{3(x-1)=2x+9}

\mathrm{3x-3=2x+9}

Now, add 3 to both sides:

\mathrm{3x-3+3=2x+9+3}

\mathrm{3x=2x+9+3}

\mathrm{3x=2x+12}

Now, subtract 2x from both sides:

\mathrm{3x-2x=2x-2x+12}\\\mathrm{3x-2x=12}

\mathrm{x=12}

Therefore, the answer is

\mathrm{x=12}

I hope it helps.

Have a nice day.

\boxed{imperturbability}

5 0
2 years ago
Read 2 more answers
The point (-6, y) lies on the graph of the equation: 5y=2x−4.
Vilka [71]

Answer:

The answer is -16/5

Step-by-step explanation:


7 0
3 years ago
How do i work out: 3/4-3/5
Mariana [72]

In order to add or subtract fractions, they must have the
same denominator.  You need to change both of these
fractions to have the same denominator ... without changing
their values, of course.

The smallest common denominator for these fractions is  20 .

     3/4  is the same amount as  15/20 .

     3/5  is the same amount as  12/20 .

Now that they have the same denominator, you can do
the subtraction.

6 0
3 years ago
Read 2 more answers
The value of x in the equation log(x-1)9=2 is
mel-nik [20]
\log_{(x-1)} 9=2

the domain:
x-1 >0 \ \land \ x-1 \not=1 \\&#10;x>1 \ \land \ x \not= 2 \\&#10;x \in (1; 2) \cup (2;+\infty)

the equation:
\log_{(x-1)}9=2 \\&#10;(x-1)^2=9 \\&#10;\sqrt{(x-1)^2}=\sqrt{9} \\&#10;|x-1|=3 \\&#10;x-1=3 \ \lor \ x-1=-3 \\&#10;x=4 \ \lor \ x=-2

4 is in the domain
-2 is not in the domain

The answer:
x=4

***
Also, the answer in 13 is {8}. -3 is not in the domain. Replace x with -3 and you'll see:
x=\sqrt{5x+24} \\&#10;-3=\sqrt{5 \times (-3)+24} \\&#10;-3=\sqrt{-15+24} \\&#10;-3=\sqrt{9} \\&#10;-3=3
It's not true so -3 isn't a solution to this equation.
4 0
3 years ago
Read 2 more answers
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