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3 years ago

If f(x) = x2 + 1 and g(x) = 5x – 3, what is f(g(x))?

Mathematics

1 answer:

lapo4ka [179]3 years ago

7 0

Answer:

5x2 - 10

Step-by-step explanation:

F(5x - 3)

(5x - 3)2 + 1

5x2 - 9 + 1

5x2 - 10

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The height, h, in feet of a ball above the ground is given by h = −16t2 + 64t + 80, where t is the time in seconds. How long doe

Gwar [14]

Answer:

t = 5 seconds

Step-by-step explanation:

It is given that, the height h, in feet of a ball above the ground is given by :

$h=-16t^2+64t+80$

Where t is in seconds

We need to find how long does it take the ball to hit the ground? When it hits the ground, its height will be equal to 0. So,

$-16t^2+64t+80=0\\\\t=\dfrac{-64\pm \sqrt{(64)^2-4\times (-16)(80)} }{2\times -16}\\\\t=\dfrac{-64+ \sqrt{(64)^2-4\times (-16)(80)} }{2\times -16},\dfrac{-64-\sqrt{(64)^2-4\times (-16)(80)} }{2\times -16}\\\\t=-1\ s\ \text{and}\ t=5\ s$

Neglecting negative time.

It means ball will take 5 seconds to hit the ground.

3 0

3 years ago

Segment A prime B prime has endpoints located at A' (0, 0) and B' (2, 0). It was dilated at a scale factor of one half from cent

yarga [219]

Answer:

i believe the answer is segment AB is located at A (-2, 0) and B (2,0) and is twice the length of segment A prime B prime

Step-by-step explanation:

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4 0

3 years ago

Read 2 more answers

Based on the order of operations, which shows the first step in simplifying this expression? 16/2+6(7+4x5)

Montano1993 [528]

Answer:

$\frac{16}{2} + 6(7 + 20)$

Step-by-step explanation:

The given expresion is:

$\frac{16}{2} + 6(7 + 4 \times 5)$

We want to find the first step in simplifying the above expression based on order of operations.

We use PEDMAS, so we deal with parenthesis first.

Within the parenthesis, we still need to multiply first to get:

$\frac{16}{2} + 6(7 + 20)$

6 0

3 years ago

Which of these statements is the Best conclusion for the following list of statements?

3241004551 [841]

The answer is the last choice in the list. Angle A and angle B are equivalent angles.

Hope this helps! :)

6 0

3 years ago

There are 12 different cookies on a plate. Aiden will choose 3 of these cookies to pack in his lunch. How many different groups

kupik [55]

The number of different groups of cookies he can choose from the 12 cookies is 220

<h3>How to determine the number of different groups of cookies he can choose from the 12 cookies?</h3>

The given parameters are:

Number of cookies, n = 12

Selected cookies, r = 3

The number of different groups of cookies he can choose from the 12 cookies is calculated as:

Numbers = 12C3

The combination formula is represented as:

nCr = n!/(n - r)!r!

Substitute the known values in the above equation

Numbers = 12!/(12 - 3)!3!

Evaluate the difference in the above equation

Numbers = 12!/9!3!

Expand the above equation

Numbers = 12*11*10*9!/9!3!

Evaluate the quotient

Numbers = 12*11*10/3!

Expand the above equation

Numbers = 12*11*10/3*2*1

Evaluate the products

Numbers = 1320/6

Evaluate the quotients

Numbers = 220

Hence, the number of different groups of cookies he can choose from the 12 cookies is 220

So, the complete parameters are:

Number of cookies, n = 12

Selected cookies, r = 3

Number of selection = 220