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4 years ago

What is the solution of log2x + 6 144 = 2?

Mathematics

2 answers:

aalyn [17]4 years ago

8 0

Answer:

the answer to this question is x = 3

anzhelika [568]4 years ago

4 0

The answer is x = 3.

Hope this helps (:

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F(x)=2x+4 when domain is {-2,0,3}

anzhelika [568]

Step-by-step explanation:

The domain is x. The range is y (or in this case F(x)).

Plug in the numbers in the number set to get a number set for your y.

When the domain is -2:

f(-2) = 2(-2) + 4

f(-2) = -4 + 4

f(-2) = 0

When the domain is -2, the range is 0.

(-2 , 0)

When the domain is 0:

f(0) = 2(0) + 4

f(0) = 0 + 4

f(0) = 4

When the domain is 0, the range is 4.

(0 , 4)

When the domain is 3:

f(3) = 2(3) + 4

f(3) = 6 + 4

f(3) = 10

When the domain is 3, the range is 10.

(3 , 10)

4 0

3 years ago

A jet travels 2301 miles against the wind in 3 hours and 2811 miles with the wind in the same amount of time. What is the rate o

astraxan [27]

Answer:

The rate of the jet in still air is 852 miles per hour. The rate of the wind is 85 miles per hour.

Step-by-step explanation:

Let suppose that jet travels uniformly, that is, at constant speed, the expressions for its travels against the wind and with the wind are, respectively:

Against the wind

$v -u = \frac{\Delta x_{1}}{\Delta t_{1}}$

With the wind

$v +u = \frac{\Delta x_{2}}{\Delta t_{2}}$

Where:

$v$ - Speed of the jet in still air, measured in miles per hour.

$u$ - Speed of wind, measured in miles per hour.

$\Delta x_{1}$ , $\Delta x_{2}$ - Distances travelled by jet against the wind and with the wind, measured in miles.

$\Delta t_{1}$ , $\Delta t_{2}$ - Times against the wind and with the wind, measured in hours.

By adding both expressions:

$2\cdot v = \frac{\Delta x_{1}}{\Delta t_{1}}+\frac{\Delta x_{2}}{\Delta t_{2}}$

$v = \frac{1}{2}\cdot \left(\frac{\Delta x_{1}}{\Delta t_{1}} + \frac{\Delta x_{2}}{\Delta t_{2}} \right)$

Given that $\Delta x_{1} = 2301\,mi$ , $\Delta t_{1} = 3\,h$ , $\Delta x_{2} = 2811\,mi$ and $\Delta t_{2} = 3\,h$ , the speed of the jet is:

$v = \frac{1}{2}\cdot \left(\frac{2301\,mi}{3\,h}+\frac{2811\,mi}{3\,h} \right)$

$v = 852\,\frac{mi}{h}$

The rate of the jet in still air is 852 miles per hour.

Lastly, the rate of the wind is:

$u = \frac{\Delta x_{2}}{\Delta t_{2}}-v$

$u = \frac{2811\,mi}{3\,h}-852\,\frac{mi}{h}$

$u = 85\,\frac{mi}{h}$

The rate of the wind is 85 miles per hour.

5 0

3 years ago

What number would you add to both sides of x^2+7x=4 to complete the square?

emmainna [20.7K]

Answer:

49/4

Step-by-step explanation:

x^2+7x=4

Take the coefficient of x

Divide by 2

7/2

Then square it

(7/2) ^2 = 49/4

Add this to both sides of the equation to complete the square

3 0

4 years ago

Constance is saving money to buy a new bicycle that costs 195.75.She already 40 saved and plans to save 8 each week. How many we

Anna11 [10]

Answer:

19.5 weeks

Step-by-step explanation:

8x19.5=156+40=196

8 0

3 years ago

Distributive property

GuDViN [60]

Answer:

Distributive property is to divide because the meaning of "distribute" is to divide something or part of something.

Example: 3(4+8) = 36

You have to add the numbers first before multiplying since there are parenthesis. Usually, in the distributive property you will always see parenthesis.

6 0

3 years ago

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