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3 years ago

What is the range of the function f(x)=12-3x for the domain (-4,-2,0,2,4)

1 answer:

7 0

Domain is all the x values...range is the y values

f(x) = 12 - 3x...f(x) is the same as y....when x = -4
y = 12 - 3(-4)
y = 12 + 12
y = 24...so when the domain (x) is -4, the range (y) = 24

f(x) = 12 - 3x....when x = -2
y = 12 - 3(-2)
y = 12 + 6
y = 18....when domain is -2, range is 18

f(x) = 12 - 3x....when x = 0
y = 12 - 3(0)
y = 12....when domain is 0, range is 12

f(x) = 12 - 3x...when x = 2
y = 12 - 3(2)
y = 12 - 6
y = 6....when domain is 2, range is 6

f(x) = 12- 3x...when x = 4
y = 12 - 3(4)
y = 12 - 12
y = 0...so when domain is 4, range is 0

so the range is (24,18,12,6,0)

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3 years ago

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3 years ago

nancy spent 7/8 hour working out at the gym she spent 5/7 of that time lifting weights what fraction of an hour did sje spentld

Juli2301 [7.4K]

$\frac{9}{56}\\$ Fraction of hour was spent by NAncy in lifting weights

Step-by-step explanation:

Time spent at the gym by Nancy = $\frac{7}{8}\,hour$

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What fraction of hour she spent in lifting weights?

Solving:

Fraction of hour she spent in lifting weights= Time spend at the gym-Time spent at lifting weights

Fraction of hour she spent in lifting weights= $\frac{7}{8}\,hour-\frac{5}{7}\,hour$

$=\frac{49}{56}-\frac{40}{56}\\=\frac{49-40}{56}\\=\frac{9}{56}\\$

So, $\frac{9}{56}\\$ Fraction of hour was spent by Nancy in lifting weights

Keywords: Word Problems involving Fractions

Learn more about Word Problems involving Fractions at:

#learnwithBrainly

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3 years ago

The following table shows the estimated populations and annual growth rates for four countries in the year 2000. Find the expect

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Answer:

For Australia: 22,044,350

For China: 1,545,744,200

For Mexico: 145,507,500

For Zaire: 92,237,875

Step-by-step explanation:

For Australia: Population in 2000 is 19,169,000 and it is increasing steadily at a rate of 0.6% per year.

Therefore, the population in the year 2025 will be

$19169000[1+\frac{0.6 \times 25}{100} ]= 22,044,350$ (Answer)

For China: Population in 2000 is 1,261,832,000 and it is increasing steadily at a rate of 0.9% per year.

Therefore, the population in the year 2025 will be

$1261832000[1+\frac{0.9 \times 25}{100} ]= 1,545,744,200$ (Answer)

For Mexico: Population in 2000 is 100,350,000 and it is increasing steadily at a rate of 1.8% per year.

Therefore, the population in the year 2025 will be

$100350000[1+\frac{1.8 \times 25}{100} ]= 145,507,500$ (Answer)

For Zaire: Population in 2000 is 51,965,000 and it is increasing steadily at a rate of 3.1% per year.

Therefore, the population in the year 2025 will be

$51965000[1+\frac{3.1 \times 25}{100} ]= 92,237,875$ (Answer)

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3 years ago