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3 years ago

Graph each quadratic function.State the domain and range. g(x)=4x^2

Mathematics

1 answer:

Nesterboy [21]3 years ago

8 0

The domain of this function is x = all real numbers.

The range of this function is that y ≥ 0.

To find the domain, you need to look for exclusions. The only numbers that you exclude are when you can't divide by 0 or have a negative square root. Since this problem has no square root symbol or fractions, it is all real numbers.

For the range, we need to find the smallest value of y. y can get no smaller in this problem than when x = 0. In that case y also = 0. Because the lead coefficient is positive (4), we know that the graph is increasing. Therefore, we know that y must always be bigger than 0.

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A bag contains lettered tiles. the theoretical probability of choosing a vowel is 40%. the bag contains 78 consonants. how many

zepelin [54]

The total number of ties present in the bag are 130.

<h3>What is probability?</h3>

Calculating or estimating how likely something is to occur is what probability is all about. The likelihood of an event occurring can be expressed using words like "certain," "impossible," or "probable."

Formula for probability is -

Probability(Event) = Favourable Outcomes/Total Outcomes

It P(E) is the probability for occurring any event.

'x' be the favourable outcome.

'n' be the total outcome.

Then,

P(E) = x/n.

Calculation for the total tiles present the bag.

The probability of choosing a vowel is 40% = 0.4.

Then, the probability of choosing a consonants will be 1 - 0.4 = 0.6 or 60%.

Let P(E) be the probability of the occurrence of the consonants.

Then,

P(E) = total number of consonants/total tiles in the bag.

Let 'T' be the total tiles in the bag.

0.6 = 78/T

T = 78/0.6

T = 130

Therefore, the total tiles present in the bag are 130.

To know more about the probability, here

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5 0

2 years ago

The altitude of Death Valley California is 282 ft below sea level of hot air balloon is launched From The Bottom Of Death Valley

asambeis [7]

Answer:

177 ft below sea level.

Step-by-step explanation:

Initial altitude of the hot air balloon = 282 below sea level

Rate of rise of balloon = 10 ft / second

Time = 12 seconds

Total rise in 12 seconds = Rate of rise of balloon $\times$ Time

$\Rightarrow 10 \times 12$ = 120 ft

Now, we will have to subtract to find the new altitude.

New altitude = 282 - 120 = 162 ft

Now, it is given that balloon Captain lowers the balloon 15 ft.

To find the final altitude, we will have to add it to the previous altitude.

Therefore, the final altitude = 162 + 15 = <em>177 ft below sea level </em>

6 0

3 years ago

What is the area of the composite figure

timurjin [86]

Answer:

108 ft

Step-by-step explanation:

6 0

3 years ago

Marisa can buy 3 oranges for 1.35 dollars ,four oranges for $1.80 or five oranges for $2.25 per second by 10 oranges for a price

scZoUnD [109]

3 oranges= $1.35, so one orange cost $0.45
4 oranges= $1.80, one orange cost $0.45
5 oranges= $2.25, one orange cost $0.45
If one orange cost $0.45, then ten cost $4.50 ($0.45*10)

If you were to buy ten oranges are $4.25, this would make each orange $0.425 ($0.43 rounded).

This means that if you were to buy ten oranges, it would be cheaper to buy ten for $4.25, instead of buying two lots of 5 for $2.25 each.

Hope this helps :)

3 0

3 years ago

A sound wave has a frequency of 125 Hz and a speed 5000 m/s What is the wavelength of the wave

kipiarov [429]

The wave length of the sound with parameters frequency of 125 Hz and a speed 5000 m/s is 40 meters

<h3>Given Data</h3>

velocity = 5000 m/s

frequency = 125 Hz

wavelength = ??

We know that the relationship between speed, frequency and wavelength is given as

v = fλ ----------------------------1

substitute our given parameters

5000 = 125 * λ

Divide both sides by 125

λ = 5000/125

λ = 40 m

Hence the wave length of the sound is 40 meters

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5 0

3 years ago