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3 years ago

If f(x)=x^2 is vertically compressed by a factor of 8 to g(x), what is the equation that of g(x)

Mathematics

1 answer:

MatroZZZ [7]3 years ago

4 0

Answer:

$g(x) = \frac{x^2}{8}$

Step-by-step explanation:

The function f(x) is compressed b a factor of 8 to function g(x).

This means that the function f(x) is multiplied by 1/8 (vertical compression) to get g(x)

$f(x)=x^2$

$=> g(x) = 1/8 * x^2\\\\g(x) = \frac{x^2}{8}$

That is the equation of g(x)

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fie abc un triunghi cu masura unghiului a de 90 de grade ab este 6 cm bc=10 si ca=8 calculati;sin b; tg b; sin c; tg c; cos b; c

lions [1.4K]

SinB = cosC = AC / BC = 8/10 = 4/5;
tgB = ctg C = AC/AB = 8/6 = 4/3, because we use T. Pitagora for calculating AB;
sinC = cosB = AB/ BC = 6/10 = 3/5;
tgC = ctgB = AB/ AC = 6/8 = 3/4.

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3 years ago

An oil tank has to be drained for maintenance. The tank is shaped like a cylinder that is 3ft long with a diameter of 2.2 ft . S

Contact [7]

4 minutes 34 seconds will takes to empty the tank, if the starts completely full and oil drained at a rate of 2.5 $ft^{3}$ per minute.

Step-by-step explanation:

The given is,

Tank is shaped like a cylinder that is 3 ft long with a diameter of 2.2 ft.

Oil drained at a rate of 2.5 $ft^{3}$ per minute.

Step:1

Time taken to dry the oil tank is,

T = $\frac{Volume of oil}{Oil drain rate}$ ....................................(1)

Step:2

Volume of the oil is,

$V = \pi r^{2} h$ .................................................(2)

Where, r - Radius of Cylinder

$r = \frac{d}{2}$

$r = \frac{2.2}{2}$

r = 1.1 ft

From eqn (1),

V = $\pi$ × $1.1^{2}$ × 3

= 11.40398 $ft^{3}$

Step:3

From equation (1)

= $\frac{11.40398}{2.5}$

= 4.56

= 4.56 minutes

T = 4 minutes 34 seconds

Result:

Time taken to dry the oil tank is 4 minutes 34 seconds, if a cylinder is 3 ft long with a diameter of 2.2 ft and oil is drained at a rate of 2.5ft^3 per minute.

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3 years ago

the price of an item has increased 15% since last year. However l a person can buy the item for a 25%employee discount. The empl

Fiesta28 [93]

Let us assume last year the price of the item = $x.

After increase in price by 15% the new price = x + 15% of x = x+ 0.15x = 1.15x.

There is a 25% discount for employee.

25% of 1.15x = 0.25 × 1.15x = 0.2875 x.

Price after discount = 1.15x - 0.2875 x = 0.8625x.

The employee pays $172.50.

Therefore,

0.8625x = 172.50.

Dividing both sides by 0.08625.

$\frac{0.8625x }{ 0.8625} =\frac{172.50}{0.8625}$

<h3>x=200.</h3><h3>Therefore, last year the price was $200.</h3>

8 0

3 years ago

7n-4=31<br> So what does n represent?

Lorico [155]

Answer:

n=5

Step-by-step explanation:

7n-4 = 31

+4 +4

7n = 35

/7 /7

n=5

6 0

3 years ago

At a car dealership, salespeople earn a 5% commission on the first $10,000 of every sale, plus a 3% commission on any amount ove

o-na [289]

Answer:

The total comission on the sale was $375.

Step-by-step explanation:

Since the salesperson sold the car for $12,300, the total comission on the sale would be equal to the 5% of $10,000 plus the 3% of the remaining amount which would be:

Total comission=(10,000*5%)+(12,500-10000)*(3%)

Total comission=500+(2,500*3%)

Total comission=300+75

Total comission=375

According to this, the answer is that the total comission on the sale was $375.

7 0

3 years ago