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shtirl [24]
3 years ago
9

Log10 (x - 9) + log10 x = 1​

Mathematics
1 answer:
Delicious77 [7]3 years ago
7 0

Answer:

\boxed{ \: \boxed{ x  =  10} \: is \: applicable}

Step-by-step explanation:

if \: the \: question \: is \to  \\    \boxed{log_{10}(x - 9) +  log_{10}(x)= 1} \\  then \:  the \: value \: of \:  \boxed{ x }\: can \: be \: gotten \: by \to\\  log_{10} \{ x( x - 9)\} = 1 \\ log_{10}( {x}^{2}  - 9x)  = 1 \\  {10}^{1}  =  {x}^{2}  - 9x \\  {x}^{2}  - 9x = 10 \\  {x}^{2}  - 9x - 10 = 0 \\  {x}^{2}   +  x  -  10x - 10 = 0 \\  x( x +  1)  -  10(x  + 1) = 0 \\ (x  +  1)(x  -  10) = 0 \\ \boxed{\boxed{  x  + 1 = 0 }\: or \: \boxed{ x   - 10 = 0}} \\ \boxed{\boxed{  x  =  - 1 }\: or \: \boxed{ x  =  10}}

♨Rage♨

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A population of bacteria is initially 2,000. After three hours the population is 1,000.
lina2011 [118]

The population starts at 2000, so a=2000.

We also know that the population in 3 hours is 1000, so we can setup the equation:

     2000 b^3 = 1000

This gets us:

    b^3 = 1/2

And taking the cube root of both sides gives us:

    b ≈ 0.7937005259841

Rounding that to 4 places, we have:

    f(t) = 2000 (0.7937)^t

5 0
3 years ago
Miguel bikes 23 km per hour and starts at mile 10. Gabby bies 28 km per hour and starts at mile 0. Which system of linear equati
pashok25 [27]

Answer:

y = 23x + 10

y = 28x + 0

Step-by-step explanation:

Given that:

Miguel :

Velocity = 23 km/hr

Starting position = 10 miles

Gabby:

Velocity = 28 km/hr

Starting position = 0 miles

The general form of a linear equation :

y = mx + c

In the scenario above ; the starting points corresponds to the intercept, c

The distance moved per hour (velocity) is the slope (m), which is the change in y per unit change in x

Hence ;

Miguel:

y = 23x + 10

Gabby:

y = 28x + 0

5 0
3 years ago
2. Evaluate the expression for q = 2 6​
GenaCL600 [577]

Answer:

12

Step-by-step explanation:

This may not be intirely correct because you said q = 2 6. I think that means 2 times 6.

Anyways

2 x 6 = 12

⇒ q = 12

5 0
2 years ago
Need help, my teacher is not great at explaining.
satela [25.4K]
I cant really see the words
3 0
3 years ago
PLEASE HELPPP MEEEEEEEEEE
qwelly [4]

Answer:

x = 17°

Step-by-step explanation:

<u>Angles And Parallel Lines </u>

If two parallel lines are crossed by a third line, corresponding angles are congruent. Also, consecutive angles are supplementary

We can clearly see in the image provided, being w and b parallel, that the corresponding angles (4x-3) and 65° are congruent. We can express that relation as

4x-3=65

Operating

4x=65+3=68

x=\frac{68}{4}=17

So the value of the angle x is 17°

8 0
3 years ago
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