1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Verizon [17]
3 years ago
15

What are the correct answers and why? Simple and concise explanation please!!!

Mathematics
2 answers:
dezoksy [38]3 years ago
6 0

Answer:

\large\boxed{-\bigg[(x-3)^2+2x\bigg]+1}\\\\\boxed{-x^2+4x-8}

Step-by-step explanation:

(g\ \circ\ f)(x)=g\bigg(f(x)\bigg)

f(x)=(x-3)^2+2x\\\\g(x)=-x+1\\\\g\ \circ\ f\to\text{put f(x) instead of x in the function g(x)}:\\\\(g\ \circ\ f)(x)=-\bigg[\underbrace{(x-3)^2+2x}_{x}\bigg]+1

-----------------------------------------

-\bigg[(x-3)^2+2x\bigg]+1=-(x-3)^2-2x+1\\\\\text{use}\ (a-b)^2=a^2-2ab+b^2\\\\=-(x^2-(2)(x)(3)+3^2)-2x+1=-(x^2-6x+9)-2x+1\\\\=-x^2-(-6x)-9-2x+1=-x^2+6x-9-2x+1\\\\\text{combine like terms}\\\\=-x^2+(6x-2x)+(-9+1)=-x^2+4x-8

-----------------------------------

-x^2+4x-8=-x^2+4x-2^2+2^2-8=-(x^2-4x+2^2)+4-8\\\\=-(\underbrace{x^2-(2)(x)(2)+2^2}_{(a-b)^2=a^2-2ab+b^2})-4=-(x-2)^2-4=-(x+1-3)^2-4

In\ (-x+1-3)^2+2x,\ x^2\ will\ be\ positive.\\In\ (-x+1-3)^2+2(-x+1),\ x^2\ will\ be\ positive.

Gre4nikov [31]3 years ago
4 0

Answer:

1st 4th

Step-by-step explanation:

Remark

g ° f has the meaning of

"look at g(x) where ever there is an x in g(x) put all of f(x) where that x is."

g(f(x)) = - f(x) + 1

Choice One

g(f(x)) = - [(x - 3)^2 + 2x] + 1 which is exactly what g(f(x)) comes down to.

Choice 4

g(f(x)) = - [(x - 3)^2 + 2x] + 1

g(f(x)) = - [x^2 - 6x + 9] + 1

g(f(x)) = - x^2 + 6x - 9 + 1

g(f(x)) = - x^2 + 6x - 8

The others.

Some of them are

f(g(x))

Number 2 is half that way.

f(g(x)) = (g(x) - 3)^2 + 2(g(x)) is what it should be if f(g(x)) was what you were asked for the 2x has no substitution made. In any event, choice 2 is incorrect.

I'm not sure how three was obtained. It is not correct if one and four are.

Same comment applies to five. I'm not sure how it was obtained.

Number six is f(g(x)) You have it backwards.

You might be interested in
Help plz i’ll give extra points : )
Anni [7]

Answer:

y = 6/5x - 24/5

Step-by-step explanation:

The two points we are given are (4, 0) and (9, 6). First, find the slope.

m = 6 - 0/9 - 4 = 6/5

Next, insert the values into the point-slope form formula. I'll use (4, 0) as the coordinates.

y - 0 = 6/5(x - 4)

y = 6/5x - 24/5

5 0
2 years ago
Plz Help ASAP!!!!!
xz_007 [3.2K]

Answer:

The hypotenuse is square root of 65

Step-by-step explanation:

a^2 + b^2 = c^2

legs of the right triangle are a and b. Just substitute 4 for a and 7 for b and solve.

4^2+7^2=16+49=65

c^2=65

Find the square root of both sides to get

c=the square root of 65

3 0
2 years ago
Read 2 more answers
Dan has a board that is 8 3/4 feet long. He cuts off 4 5/6 feet and says he has 4 1/12 feet left.
Nady [450]
Dan isn’t correct it’s either c or d
7 0
3 years ago
Determine the equation of the line shown in the graph: graph of a vertical line with an x intercept of 3
Nastasia [14]

Answer:

x=3

Step-by-step explanation:

It is pretty simple.

x = 3 means literally just a vertical line at +3 on the x-axis.

In contrast, y = 3 would mean a horizontal line at +3 on the y-axis.

If you would like to see this for yourself pull-up desmos on your browser and type it into the graphing calculator of desmos.

7 0
3 years ago
Read 2 more answers
Answer please??????????????????????????????/
kirill [66]

The expression that represents the surface area of the square based pyramid is 36 + 15 + 15 + 15 + 15

<h3 />

<h3>How to find the surface area of a square based pyramid?</h3>

The surface area of the pyramid is the sum of the area of the whole faces of the pyramid.

Therefore, the pyramid has 4 triangular faces and 1 square faces.

Therefore,

surface area of the pyramid = area of the square + 4(area of the triangle)

area of the square = 6² = 36

area of each triangular faces = 1 / 2 bh

where

  • b = base area
  • h = height

Therefore,

area of each triangular faces = 1 / 2 × 6 × 5 = 30 / 2  = 15

Hence, the expression is as follows:

surface area of the pyramid = 36 + 15 + 15 + 15 + 15

learn more on pyramid here:  brainly.com/question/17615619

#SPJ1

7 0
1 year ago
Other questions:
  • Does renee have a enough prizes for each students to win 3 prizes explain?
    9·1 answer
  • Can someone help me please
    10·1 answer
  • If a gas tank can hold 30 gallons, how many gallons does it contain when it is three-fifths full?
    10·1 answer
  • URGENT 15 POINTS<br> find the measure of angle x
    7·1 answer
  • Solve F(x) for the given domain
    6·1 answer
  • (⚠️⚠️HELP!⚠️⚠️)Mary bought 18 books. Mary bought 6 times as many books as Carlos. Let b be the number of books that Carlos bough
    10·2 answers
  • How many choices do you have for your lunch if you pick either an orange or apple and pretzels or carrots to go with your sandwi
    15·1 answer
  • Which ratio represents the cotangent of angle B in the right triangle below?
    9·1 answer
  • Write the expression using exponents.<br><br>23 · y · y · y · y ​
    12·1 answer
  • How do you solve this?
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!