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2 years ago

For the given functions f and g , find the indicated compositions.

Mathematics

1 answer:

nadya68 [22]2 years ago

3 0

Answer:

$f( - 3) = {( - 3)}^{2} - 2 \times ( - 3) - 3 = 9 + 6 - 3 \\ = 12 \\ g(12) = 12 + 2 = 14$

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WhIich of the following mathematical expressions is equivalent to the verbal expression "A number, x, squared is 39 more than th

MrRa [10]

Answer:

E. x^2 = 39 + 10x

Step-by-step explanation:

It helps to do one piece of the sentence at a time.

"A number, x, squared is 39 more than the product of 10 and x"

"A number, x, squared is 39 more than the product of 10 and x"

x^2 =

"A number, x, squared is 39 more than the product of 10 and x"

x^2 = 39 +

"A number, x, squared is 39 more than the product of 10 and x"

x^2 = 39 + 10x

Answer: E. x^2 = 39 + 10x

6 0

2 years ago

Read 2 more answers

Select two ratio that are equvivalent to 4:18

Marizza181 [45]

Answer:

2:9

Step-by-step explanation:

3 0

3 years ago

Just Need A Few Questions Answered To Finish My Quiz, Any Help Would Be Much Appreciated.

kvv77 [185]

Given the triangle

PQR

with points

P(8,0)

Q(6,2)

R(-2,-4)

And the triangle

P'Q'R'

with points

P'(4,0)

Q'(3,1)

R'(-1,-2)

Part A. Scale factor

Using the vertex

P( 8, 0)

P'(4,0)

the dilatation factor is given by

$\frac{4}{8}=\frac{1}{2}$

The triangle has a dilatation factor of 1/2

Part B:

P''Q''R'' after using P'Q'R' reflected about the y axis

to make a reflection over the y axis

coordinates (x,y) turn into coordinates (-x,y)

as follows

$P^{\prime}(4,0)\rightarrow P^{\prime\prime}(-4,0)$ $Q^{\prime}(3,1)\rightarrow Q^{\prime\prime}(-3,1)$ $R^{\prime}(-1,-2)\rightarrow R^{\prime\prime}(1,-2)$

Then triangle P''Q''R'' has coordinates

P''(-4,0)

Q''(-3,1)

R''(1,-2)

Part C:

PQR is congruent to P''Q''R''?

Congruent triangles are triangles that have the same size and shape. This means that the corresponding sides are equal and the corresponding angles are equal.

Then the triangles are not congruent

8 0

8 months ago

Find the unknown side length, x. Write your answer in simplest radical form.

Mama L [17]

<span>The correct answer between all the choices given is the second choice or letter B. I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.</span>

4 0

3 years ago

You are downsizing. Your new residence will have much less closet space than does your current home. You have 12 pair of long pa

harkovskaia [24]

Answer:

a) there are 7,854,000 number of ways the random selections can be arranged

b) the required probability is 0.0445

Step-by-step explanation:

Given that;

you have 12 pair of long pants, 6 pair of short pant and 17 t-shirt which in total;

Total = 12 + 6 + 17 = 35

a) number of ways a random selection of 9 pair of long pants, 4 pair of short pants and 13 t-shirts can be arranged;

⇒ [ 12 × [ 6 × [ 17

9 ] 4 ] 13 ]

= (12! / (9! 3!)) (6! / (4! 2!)) (17! / (13! 4!))

= (220) (15) (2380)

= 7,854,000

Therefore there are 7,854,000 number of ways the random selections can be arranged

Number of ways of selecting 25 item from 35 items;

⇒ [ 35

25 ]

(35! / (25! 10!) = 183.579,396

now number of ways to select 10 pair of long pants, 3 pairs of short pantts and 12 t-shirt;

⇒ [ 12 × [ 6 × [ 17

10 ] 3 ] 12 ]

= (12! / (10! 2!)) (6! / (3! 3!)) (17! / (12! 5!))

= (66) (20) (6188)

= 8,168,160

So, Required probability = 8,168,160 / 183,579,396

= 0.0445

So the required probability is 0.0445

5 0

3 years ago