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3 years ago

For f(x)=×²-3 and g(x) 2×² + -1 what is g[f(x)]

Mathematics

1 answer:

lina2011 [118]3 years ago

7 0

Answer:

Step-by-step explanation:

is g(x) equal to 2x²-1, or 2x²+1 ?

f(x) = x²-3

g(x) = 2x²-1

g(f(x)) = g(x²-3) = 2(x²-3)²-1 =2(x⁴-6x²+9)-1 =

2x⁴-12x²+17

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2/3 of a cherry pie is left .Supposed 4 friends want to share it equally what fraction names how much the whole pie each friend

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You would divide the 2/3 by 4 which would be 1.6 recurring and then put that back into a fraction which would be 1/6. I'm not sure if his is correct but this what is learnt ♡♡chyna

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What is the solution of 35 - (17-2) ÷ 5

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Start with the parentheses: 17 - 2 = 15. Next is dividing: 15 / 5 = 3. And finally subtracting: 35 - 3 = 32.

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What is the area of rectangle ABCD?

kotegsom [21]

The area of a 2D form is the amount of space within its perimeter. The area of the rectangle is 12 units². Thus, the correct option is A.

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm2, m2, and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

As per the given information, the graph of the rectangle can be made as shown below. It can be observed from the graph that the length of the rectangle and width of the rectangle are 4 units and 3 units, respectively. Therefore, the area of the rectangle is,

Area = 4 units × 3 units = 12 units²

Hence, the area of the rectangle is 12 units². Thus, the correct option is A.

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2 years ago

To qualify for gold status at awesome airlines, One must fly at least 16500 and less than 31500 miles each year. If Casey takes

SIZIF [17.4K]

Answer:

Step-by-step explanation:

<u>Division </u>

We must find an interval for the number of visits Casey needs to make to her parents to earn the gold status. The lower limit for that status is 16500 miles.

Each round trip flight Casey takes to visit her parents is 750 miles long. To know the minimum number of visits needed, we divide 16500 / 750= 22. To know the maximum number of visits, we divide 31500 / 750 = 42.

Thus, to earn the gold status at awesome airlines, Casey must go between 22 and 42 times to visit her parents. Expressing in interval notation: [22,42]

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3 years ago

A balloon rises at the rate of 10 ft/sec from a point on the ground 100 feet from an observer. Find the rate of change of the an

lubasha [3.4K]

The rate of change of the angle of elevation of the balloon from the observer when the balloon is 100 feet above the ground is 1/20 degree/sec.

<h3>What is angle of elevation?</h3>

It is described as a relationship between an oblique line from the observer's eye to an item above his eye and the horizontal plane. This angle eventually develops above the surface. The angle of elevation is made in such a way that it is above the observer's eye, as the name suggests.

Calculation for the rate of change of angle of elevation-

According to the question,

A balloon rises at the rate of 10 ft/sec from a point on the ground 100 feet from an observer.

The balloon is 100 feet above the ground.

Let the height of the balloon be 'h' ft.

Then tanØ = h/100

h = 100tanØ

Differentiate the above equation with respect to time.

dh/dt = 100 sec² Ø (dØ/dt)

We know dh/dt = 10 ft/sec.

when h = 100

tanØ = 100/100 = 1/1

tanØ = Perpendicular/Base

On comparing above two equations,

Perpendicular = 1; Base = 1.

By Pythagoras the hypotenuse is,

H² = P² + B²

= 1² + 1²

= 2

H = √2

Now, calculate the value of cosØ.

cosØ = B/H = 1/√2

Squaring both side

cos² Ø = 1/2

sec² Ø = 1/cos² Ø

sec² Ø = 2

The main equation was,

dh/dt = 100 sec² Ø (dØ/dt)

Substitute the values,

dØ/dt = (dh/dt )/100 sec² Ø

= (10)/(100×2)

dØ/dt = 1/20 degree/sec.

Therefore, the rate of change of the angle of elevation of the balloon from the observer is 1/20 degree/sec.

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2 years ago