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mojhsa [17]
3 years ago
9

If lnx + ln(x−3)= ln(4x), then x=

Mathematics
1 answer:
bazaltina [42]3 years ago
3 0

Answer:

x=7

Step-by-step explanation:

ln(x)+ln(x-3)=ln(4x)

x≥0,x≥3

combining x≥3

ln[x(x-3)]=ln(4x)

x(x-3)=4x

x²-3x-4x=0

x²-7x=0

x(x-7)=0

x=0(rejected),7

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Lebo buys blank writable CDs in bulk. He repackages them and sells them
Kay [80]

Answer:

  1. He must sell each CD for R1,10 to make 40% profit

Step-by-step explanation:

R40×5%=2

R40-2=R38

40%×38=R15,2

15,2+40=55,2

55,2÷50=R1,10

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5 0
3 years ago
Name this polynomial by its degree: 3x² + 5x-3
rodikova [14]

Answer:

quadratic

Step-by-step explanation:

because it has degree 2

8 0
3 years ago
Eduardo has to make a 10 minute video of his test corrections for his Algebra 2 teacher in order to be eligible to retest. His t
shutvik [7]

Answer:

7 ≤ v ≤ 13

Step-by-step explanation:

Length of video required must be within 10 minutes

Submitted length of video must be with 3 minutes of the 10 minutes video

To create an absolute value inequality :

Let v = the range of value for which the required video will be :

|v - 10| = ±3

Lower boundary :

|v - 10| = - 3

v = - 3 + 10

v = 7

Upper boundary :

|v - 10| = 3

v = 3 + 10

v = 13

Hence,

7 ≤ v ≤ 13

4 0
3 years ago
Can someone help me out with this.
pickupchik [31]

The side MK measures 3.3 feet.

Step-by-step explanation:

Step 1:

In the triangle, the angle is 25°, the adjacent side has a length of x feet while the hypotenuse of the triangle measures 3.6 feet. The opposite side of the triangle is not given.

To determine the value of x, we determine the value of the cos of the given triangle.

To calculate the cos of an angle we divide the adjacent side by the hypotenuse of the same triangle.

cos \theta = \frac{adjacentside}{hypotenuse} .

Step 2:

The length of the adjacent side = x feet.

The length of the hypotenuse = 3.6 feet.

cos \theta = \frac{adjacentside}{hypotenuse}, cos 25 = \frac{x}{3.6} , cos 25 = 0.9063.

x = 0.9063 (3.6) = 3.2626.

So the adjacent side of the triangle measures 3.2626 feet. Rounding this off to the nearest tenth, we get that MK measures 3.3 feet.

3 0
3 years ago
Use long division to find the solution.
Kruka [31]
90 r 5 is the answer
3 0
3 years ago
Read 2 more answers
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