For f(x) = 4 - x and g(x) = 3x² + x + 5, find the following functions.
a.
(fog)(x); b. (gof)(x); c. (fog)(3); d. (gof)(3)

Answer:

the answer is 10,0000

Step-by-step explanation:

Answer:

36 cm²

Step-by-step explanation:

1/2 × (8.9+5.5) ×5.5

1/2×14.4×5.5

1/2×72

36 cm²

Answer:

Step-by-step explanation:

Circumscribed means written around the outside. -scribe means writing and

think of how circumference is the distance around the outside of a circle. It is a little more special and specific...all the segments that make the triangle are tangents to the circle, that is, they only touch the circle at one point.

So the circle is inscribed-- that is, written inside of the triangle (in the same, special specific way).

Circle A is inscribed in triangle RST.

Answer:

Inscribed

Step-by-step explanation:

What is polygon inscribe?

Answer:

Daughter is 6 , mother is 30.

Step-by-step explanation:

Answer:

  you need to show the number is prime

Step-by-step explanation:

To show 2^7 -1 is prime, you have to show it is not divisible by any prime less than its square root. That root is approximately 2^(7/2) = 2^3×√2 ≈ 11.3.

The primes of in that range are 2, 3, 5, 7, 11. The prime we're testing is ...

  2^7 -1 = 128 -1 = 127

The sum of digits is 10, which is not a multiple of 3: not divisible by 3.

The units digit is 7, not 0 or 5: not divisible by 5.

The test for divisibility by 7 is to subtract twice the units digit from the rest of the number: 12 -2(7) = -2. This is not 0 or a multiple of 7, so 127 is not divisible by 7.

We know that 11² = 121, so 127 is not divisible by 11.

All of the tests for primality pass, so 2^7 -1 is a Mersenne prime.

_____

Additional comment

It is known that 2^n -1 being prime requires n to be prime. (The converse is not true: 2^11 -1 = 2047 = 23×89 is not prime.) The discovery of Mersenne primes is an ongoing process involving thousands of computers around the world. Only about 50 such primes are known.

You will notice that we have made use of some divisibility rules in order to simplify the process of dividing by small numbers. These can be helpful in many situations, so can be useful to learn.

Lin should aim the ball at 7.8 feet away from point  B

From the question (see attachment), we have the following equivalent ratios:

[tex]AB : BE = DC :CE[/tex]

This is so because triangles ABE and DCE are similar triangles.

Such that:

[tex]BE + CE = 20[/tex]

[tex]AB = 16[/tex]

[tex]DC = 16 + 9 = 25[/tex]

So, we have:

[tex]AB : BE = DC :CE[/tex]

[tex]16 : BE = 25: CE[/tex]

Make CE the subject in [tex]BE + CE = 20[/tex]

[tex]CE=20 - BE[/tex]

Substitute 20 - BE for CE in [tex]16 : BE = 25: CE[/tex]

[tex]16 : BE = 25: 20 - BE[/tex]

Express as ratio

[tex]\frac{16 }{ BE} = \frac{25}{ 20 - BE}[/tex]

Cross multiply

[tex]16(20 - BE) = 25BE[/tex]

Open bracket

[tex]320 - 16BE = 25BE[/tex]

Collect like terms

[tex]25BE + 16BE = 320[/tex]

[tex]41BE = 320[/tex]

Divide both sides by 41

[tex]BE = 7.8[/tex]

Hence, she should aim at 7.8 feet away from point  B

Read more about similar triangles at:

https://brainly.com/question/14285697

Answer:You want to make a bank shot. Sketch the path of the cue ball so it will bounce off of the bottom side and knock the yellow stripe 9 ball into the top middle pocket.

Step-by-step explanation:

Answer:

It would be Number of Hours

Step-by-step explanation:

The word Dependent Variable means a number/something that relies on something else so the word "Number" Relies and something to follow it up and in this sentence it's "number of hours"

Hope this Helps :)

Answer:

Set Y I’m pretty sure

Step-by-step explanation:

Answer:y=

1

2

x4+

7

2

x3+

9

2

x2+

−27

2

x−27

Step-by-step explanation:

Answer:

-5/2

Step-by-step explanation:

First, you want to get the equation into the Y=mx+b formula, and my m will be the slope of the line.

So in our case, we get Y= -5/2x+3/2 so my slope is -5/2

Answer:

3200/4500=71.1%

so a 29.9% drop

Hope This Helps!!!

0.10 x 2.000 = 0.2

0.9 = 0.10

1.084=2.000

Answer:

Depends on what your question asks for (in mixed or improper form) your answer would be: 150/12 yards or 12 1/2 yards

brainliest please?<3

Step-by-step explanation:

To find the area, first convert the mixed numbers to improper form:  

3 3/4 = 15/4 & 3 1/3 = 10/3

Now multiply them together:  

15/4 x 10/3  

= 150/12

Answer: 12.5

Step-by-step explanation:

3 3/4 in improper form is 15/4. 3 1/3 in improper form is 10/3.

15   10       150

==x == =  ====             150 divided by 12 is 12.5

4     3         12

Answer:

360 is the answer

Step-by-step explanation:

hi

have a good day

hope it helps you

thank me later

carryonlearing

Answer:

Step-by-step explanation: 2\frac{u^2}{8}u^4=10\frac{u^3}{9}u

Answer:

70

Step-by-step explanation:

since the left and right sides are equal length the left and right angles are 55 degrees. and since a triangle adds up to 180 degrees

180-55-55 = 70

I think you can also use sin cos tan to solve this but this way is much easier

Answer: the answer is B which is x < -1

Step-by-step explanation: trust me bro and happy holidays :)

Answer:

[tex]\huge\boxed{B)\ x<-1}[/tex]

Step-by-step explanation:

Solve this inequality the same way you would solve an equation: by isolating x.

Simply subtract 6 from both sides to get -4x > 4.   Then merely divide both sides by -4 to get x < -1.  (Notice that when dividing by a negative number, you must flip the sign of the inequality.)

Hope it helps :)

Answer:

75%

Step-by-step explanation:

Here are step-by-step instructions showing you how we calculated 39 out of 52 as a percentage:

The first step is to divide 39 by 52 to get the answer in decimal form:

39 / 52 = 0.7500

Then, we multiplied the answer from the first step by one hundred to get the answer as a percentage:

0.7500 * 100 = 75.00%

Answer:

A cylinder with a base radius of 7cm and a height of 12 cm.

Step-by-step explanation:

A solid object =7cm

height=12cm

Now,

we know that l = b×g

=12×7

= 84

Answer:

Step-by-step explanation:

For example, it is more usual to talk about polynomials of degree 6 than to ... Given the polynomials f (x)=3x3 +7x2−5x + 8, g(x) = −x5 + 6x4−2x3+ x−3 ...

Answer:

do it got a picture

on the edge2020

Step-by-step explanation:

Answer:

The famous point G that everyone enjoys... of course it represents a point of a graph! What else could it be? G stands for graph.

[tex]\huge \bf༆ Answer ༄[/tex]

The additional information needed to prove that the triangles are congruent is ~ A

Answer: Choice A

Explanation:

The shorthand AAS stands for "angle angle side". The diagram shows we have a pair of congruent angles, which takes care of one "A" of "AAS". So we need info about another pair of angles to take care of that other "A".

One possible pair is angle M and angle V, or we could go for angle N and angle U. Whichever option you go for, the tickmarked sides are not between the angles mentioned. If the side was between the angles, then we'd have to use ASA which is slightly different from AAS. The order matters.

Answer:

B: 6x+2

Step-by-step explanation:

hope this helps :)