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1 year ago

Let the function f be defined by f (x) = 5x - 2a,

Mathematics

1 answer:

seraphim [82]1 year ago

6 0

Answer: 5

Step-by-step explanation:

$f(10)=50-2a\\\\f(5)=25-2a\\ \\ f(10)+f(5)=75-4a=55 \implies a=5$

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How to expand this logarithm?

Zarrin [17]

There is a division symbol, division is subtracted. Are you sure you have the problem stated clearly?
<span> $ln( \frac{-5m-3}{ \sqrt{-4m-7} } )\\ \\ ln(-5m-3) - ln( (-4m-7)^{1/2} ) \\ \\ Power Rule \\ \\ ln(-5m-3) - \frac{1}{2} ln(-4m-7)$

</span>

5 0

3 years ago

I don’t understand, help please ?!

GREYUIT [131]

I think you multiply or add

5 0

2 years ago

Read 2 more answers

In 2000, the population of Massachusetts

Zepler [3.9K]

Answer:

The population reaches 7 million people in the year 2032.

Step-by-step explanation:

We have that

$f(x) = 6.3*(1.0032)^{x}$

Using this model, find the year when the population reaches 7 million people.

This is x years after 2000, in which x is found when f(x) = 7. So

$f(x) = 6.3*(1.0032)^{x}$

$7 = 6.3*(1.0032)^{x}$

$(1.0032)^{x} = \frac{7}{6.3}$

$(1.0032)^{x} = 1.11$

We have to following logarithm rule

$\log{a^{x}} = x\log{a}$

So we apply log to both sides of the equality

$\log{(1.0032)^{x}} = \log{1.11}$

$x\log{1.0032} = \log{1.11}$

$x = \frac{\log{1.11}}{\log{1.0032}}$

$x = 32.66$

2000 + 32.66 = 2032

The population reaches 7 million people in the year 2032.

3 0

2 years ago

What is the other solution??

Vladimir79 [104]

Answer:

The other solution is 12.

Step-by-step explanation:

Break the solution into groups: (x^2+2x)+(-12x-24)

Factor out the x^2 from the first group to get x(x+2)

Factor out the -12 out of the second group to get -12(x-12)

Here we get (x-12)(x+2)

You can see solutions are -2 and 12.

4 0

2 years ago

Read 2 more answers

Calculate the perimeter of a square with vertices on a circle of diameter 4 cm

posledela

Answer:

I dont like sqaures.

Step-by-step explanation: Their pointy.

3 0

2 years ago