Mathematics High School

f(x)=2x-3 and g(x)=x^2+1, find g(f(x))

Answers

Answer 1

Answer:

f(x)=2x-3, substitute the expression for g(x) in f(x)

f(x) = 2(x^2 + 1) - 3

f(x) = 2x^2 + 2 - 3

f(x) = 2x^2 - 1

Related Questions

Does anyone know the answer???

Answers

Answer:

That's the right answer

Step-by-step explanation:

Hope to help

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A motorboat travels 82 miles in 2 hours going upstream. It travels 106 miles going downstream in the same amount of time. What is the rate of the boat in still water and what is the rate of the current

Answers

let's recall d = rt, or namely distance = rate * time.

b = speed of the boat in still water

c = speed of the current

when going Upstream, the boat is not really going "b" fast, is really going slower, is going "b - c", because the current is subtracting speed from it, likewise, when going Downstream the boat is not going "b" fast, is really going faster, is going "b + c", because the current is adding its speed to it.

[tex]\begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ Upstream&82&b-c&2\\ Downstream&106&b+c&2 \end{array}\hspace{5em} \begin{cases} 82=(b-c)2\\\\ 106=(b+c)2 \end{cases} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{\textit{using the 1st equation}}{82=(b-c)2}\implies \cfrac{82}{2}=b-c\implies 41=b-c\implies \boxed{41+c=b} \\\\\\ \stackrel{\textit{substituting on the 2nd equation}}{106[~(41+c)+c~]2}\implies \cfrac{106}{2}=41+2c\implies 53=41+2c \\\\\\ 12=2c\implies \cfrac{12}{2}=c\implies \blacksquare~~ 6=c ~~\blacksquare~\hfill \blacksquare~~ \stackrel{41~~ + ~~6}{47=b} ~~\blacksquare[/tex]

Pls answer I’ll mark brainly

Answers

Answer:

52 miles

Step-by-step explanation:

since 1 unit is 26 miles and the distance from Daytona beach to Orlando on the map is 2 units just multiply 26 by 2 to get 52 miles

26+26= 52
1 unit = 26
So multiply 2 times 26

From the diagram below, choose the correct letter for each of the following parts of
a circle:
a) a major arc
b) a minor sector
c) a major segment
F
A
D
B
E
E

Answers

Answer:

A) F

B) B

C) C

Step-by-step explanation:

F is a major arcB is a minor sector C is a major segments

circle AB represents sectors

circle CD represent segments

circle EF represent arcs

Which of the following is an equation of a line perpendicular to the equation
y =3x + 1?
O A. y = 3x + 5
O B. y=x+5
X
3
O C. y = -3x+5
OD. y - 3x+5
O 5
3

Answers

B is the answer ma brutha

PLEASE HELP ME IVE BEEN SITTING HERE FOR HOURS

Answers

Answer:

0-9: 4

10-19: 4

20-29: 1

30-39: 4

40-49: 2

Step-by-step explanation:

Since frequency means how many times it showed up in the list

this all adds up to 15, making it an easy check.

hope this helps:)

There are 72 6th graders, 18 chose popularity, what is the percentage of 6th graders that chose popularity?

Answers

The correct Answer: 21%

Sandy made several investments. She bought 1000 shares of a company’s stock for $8.60/share, she bought a bond with a face value of $2500 and a coupon rate of 7%, and she invested $5000 into a fund that is expected to grow by 3.5% per year.

The bond Sandy purchased will mature in 10 years. How much interest will she receive semiannually?

How long will it take the fund she invested in to be worth $10,000?

Answers

Answer it 8 years until she invested worth

Work out length of BC

Answers

Answer:

assume [tex]13 = z \\ 8 =x \\ bc = y[/tex]

by phytagorean theorem

[tex]{y}^{2} + {x}^{2} = z^{2} [/tex]

[tex]bc = y = \sqrt{ {z}^{2} - {x}^{2} } = \sqrt{169 - 64} = \sqrt{105} [/tex]

[tex] \huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }[/tex]

[tex] \large\underline{ \boxed{ \sf{✰\:Note }}}[/tex]

★ 1st let's know what is the given figure is and it's related concepts for solving !

➣ Given Triangle is a right angled triangle ➣ It is having 3sides let's know what are the name of these sides ➣ 1st AB is know as hypotenuse➣ 2nd AC and is called Base of the triangle➣ 3rd BC whích is know as perpendicular of the triangle➣ Hypotenuse(H):-The side of a right triangle opposite the right angle.➣ Perpendicular(P):- Exactly upright; extending in a straight line. ➣ Base(B):- it also known as the side opposite to hypotenuse➣Perpendicular and base are know as the leg of right angled triangle➣ We can easily find length of one missing side by using a theorem name as "Pythagorean theorem"➣ Pythagorean theorem :- A mathematical theorem which states that the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of those of the two other sides★ Note :- The Pythagorean theorem only applies to right triangles.