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3 years ago

13

Can you help me with this please? REWARD IS 60 POINTS! Best answer will get brainliest. Thanks.

1 answer:

kati45 [8]3 years ago

6 0

look at the attached image for my answer!!

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Ln (x-2) +ln (2x-3)=2ln x

goblinko [34]

$D:x-2\ \textgreater \ 0 \wedge 2x-3\ \textgreater \ 0 \wedge x\ \textgreater \ 0\\
D:x\ \textgreater \ 2 \wedge x\ \textgreater \ \dfrac{3}{2}\wedge x\ \textgreater \ 0\\
D:x\ \textgreater \ 2\\\\
\ln (x-2) +\ln (2x-3)=2\ln x \\
\ln (x-2)(2x-3)=\ln x^2\\
(x-2)(2x-3)=x^2\\
2x^2-3x-4x+6=x^2\\
x^2-7x+6=0\\
x^2-x-6x+6=0\\
x(x-1)-6(x-1)=0\\
(x-6)(x-1)=0\\
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\boxed{x=6}$

4 0

4 years ago

Solve absolute value equation 2|x-3|-8=2

Semmy [17]

Answer:

$x=8, -2$

Step-by-step explanation:

$2|x-3|-8=2$

$2|x-3|=10$

$|x-3|=5$ $|x-3|=-5$

$x-3=5$ $x-3=-5$

$x=8$ $x=-2$

7 0

3 years ago

Determine if the sequence is arithmetic. If it is, find the common difference. 1) 35, 32, 29, 26, ... 2) −3, −23, −43, −63, ...

vekshin1

1) Yes, it is arithmetic, the common difference is -3. To find this, subtract any number from the number after it.

32 - 35 = -3

2) yes, it is arithmetic, the common difference is -20. To find this, subtract any number from the number after it.

-23 - -3 = -20

3) yes, it is arithmetic, the common difference is -30. To find this, subtract any number from the number after it.

-64 - -34 = -30

4) yes, it is arithmetic, the common difference is -10. To find this, subtract any number from the number after it.

-40 - -30 = -10

yes, it is arithmetic, the common difference is -2. To find this, subtract any number from the number after it.

-9 - -7 = -2

yes, it is arithmetic, the common difference is 5. To find this, subtract any number from the number after it.

14 - 9 = 5

4 0

3 years ago

Which of the following of x and y would make up the following expression represent a real number? (4+5i)(x+yi)

salantis [7]

Answer:

x = 4 and y = - 5

Step-by-step explanation:

note that the product of a complex number and it's conjugate is real

That is

(a + bi)(a - bi) where a, b are real

= a² - abi + abi - b²i²

= a² + b² ← a real number

For (4 + 5i)(x + yi) to be real

we require (x + yi) to be the conjugate of 4 + 5i , that is 4 - 5i

(4 + 5i)(4 - 5i) ⇒ x = 4 and y = - 5

8 0

3 years ago

In a coffee shop, the average drink is currently $4.50 while the average pastry is $2.25. You've made a total of $5,250 today. W

Kamila [148]

Answer:

$4.50x+2.25y=5,250$ where $x$ denotes number of drinks and $y$ denotes number of pastries.

Step-by-step explanation:

Let $x$ denotes number of drinks and $y$ denotes number of pastries.

Cost of the average drink = $4.50

Cost of the average pastry = $2.25

Total amount = $5,250

Therefore,

$4.50x+2.25y=5,250$

6 0

3 years ago