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1 year ago

Consider the functions below.

Mathematics

1 answer:

LiRa [457]1 year ago

7 0

Step-by-step explanation:

The interval of increasing for both the given functions f((x) and g(x) is given by : (-∞, 4)

Step-by-step explanation:

The function f(x) = |3x| + 3

Since, The modulus function is always increasing so adding 3 to it also increase over the whole number line.

So, The interval of increasing for the function f(x) : (-∞, +∞)

The function g(x) = -x² + 8x - 5

⇒ g'(x) = -2x + 8

To find critical points : g'(x) = 0

⇒ -2x + 8 = 0

⇒ x = 4

So, Intervals of increasing or decreasing are : (-∞, 4) and (4, +∞)

Now, On checking g(x) is increasing on (-∞, 4) and decreasing on (4, +∞)

Hence, The interval of increasing for both the given functions f((x) and g(x) is given by : (-∞, 4)

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Your school organizes a clothing drive as a fundraiser for your class trip. The school earns $100 for every 400 pounds of donati

noname [10]

Answer:

$550

Step-by-step explanation:

400x=2200, x is the number of groups needed to get 2200 pounds.

If you divide both sides by 400, you'll get x=5.5

Next, multiply 5.5 by $100 because each group gives $100

hope this helps!

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1 year ago

Read 2 more answers

the loudness in decibels of sound is defined as 10 log I/I0, where I is the intensity of the sound in watts per square meter (W/

Oxana [17]

As the problem states, to solve this, we are going to use the equation $L= log \frac{I}{I_{0} }$
where
$L$ is the loudness in dB
$I$ is the intensity of a sound
$I_{0}$ <span>is the minimum intensity detectable by the human ear
</span>
We know for our problem that $I=1.65*10^{-2}$ ; we also now that the minimum intensity detectable by the human ear is $10^{-12)W/m^{2}$ , so $I_{0}=10^{-12}$ . Lets replace those values in our equation to find $L$ :
$L=log \frac{1.65*10^{-2} }{10^{-12}}$
$L=10.22dB$

Qe can conclude that since the explosion is under 100dB, it does not violates the regulation of the town. We used tow physical values to calculate the answer: the intensity of the sound of the explosion, $I=1.65*10^{-2}W/m^2$ , and the minimum intensity detectable by the human ear $I_{0}=10^{-12}W/m^{2}$ .

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2 years ago

A dog's weight increased by 50% in 3 years. by the end of 3 years, the dog weighed 45 pounds. how much did the dog weigh 3 years

weeeeeb [17]

I hope this helps you

45+45.50%

45+45.50/100

45+22,5

67,5

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2 years ago

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In the equation 6x – 2 = –4x + 2, Spencer claims that the first step is to add 4x to both sides. Jeremiah claims that the first

Sergeeva-Olga [200]

If you would like to know who is correct, you can find this using the following step:

<span>6x - 2 = -4x + 2

Spencer:
</span>6x - 2 = -4x + 2 /+4x
6x - 2 + 4x = -4x + 2 + 4x
10x - 2 = 2

Jeremiah:
6x - 2 = -4x + 2 /-6x
6x - 2 - 6x = -4x + 2 - 6x
-2 = -10x + 2

They both are correct. But in Jeremiah's version of solving the equation, we would have to multiply equation by -1 (or add 10x to both sides), which we don't have to do in the Spencer's version.

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2 years ago

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A card player selects a playing card from a well-shuffled deck of standard playing cards and sees if the card is a red card or n

dmitriy555 [2]

Answer:

Step-by-step explanation:

there could be no red cards inside

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2 years ago