Given: F(x)=3 x^2 + 1, G(x)= 2 x-3 , H(x)=x
F(G(x))=

Answers

Answer 1

Answer:

f(g(x)) = 12x² - 36x + 28

Step-by-step explanation:

Substitute x = g(x) into f(x) , that is

f(g(x) )

= f(2x - 3)

= 3(2x - 3)² + 1 ← expand factor using FOIL

= 3(4x² - 12x + 9) + 1 ← distribute parenthesis by 3

= 12x² - 36x + 27 + 1 ← collect like terms

= 12x² - 36x + 28


Related Questions

Khloe invests money in an account paying a simple interest of 7% per year. If she
invests $140 and no money will be added or removed from the investment, how much
will she have in one year, in dollars and cents?

Answers

Answer: $149.8

Step-by-step explanation:

Find the 1% of the 140 which is 1.4 because 140/100 = 1.4

Times by 7 to get 7%. 1.4 x 7 = 9.8

Add them together. 140+9.8 = 149.8

Suppose that Nectaria also has 6 chickens. Her neighbor gives her 40 feet of fencing. She must still cut the fencing in lengths that are whole numbers.

What equation can Nectaria write that would allow her to figure out possible dimensions for her chicken pen? Which dimensions would maximize the area of her pen?

EXPLAIN in complete sentences how Nectaria can figure out the possible dimensions for her chicken pen and which dimensions would maximize the area for her chickens.

Answers

Answer:

Max area = 100

10 10 sides

Step-by-step explanation:

here given perimeter for fencing is 40 feet

for it to have maximum area sides

sides length is perimeter / 4

so l = 40/4 = 10

so it is 10 × 10 square

Area = 100

This is the maximum area

What is 52 divided by 2? please help meeeee
A. 16 B. 26 C. 27 D. 36

Answers

Answer:

D. 26

Step-by-step explanation:

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╲┃╮┃┃╭╮┃┃╭╮┃┃╲╲

╲┃╯┃┗┻┻┛┗┻┻┻┻╮╲

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Brainliest?

Jamie went on a vacation with his family. He spent 32.25% of the total cost on the airline tickets, of the total cost on hotels, and 12.75% of the total cost on food. If he spent of the remaining amount on shopping, what percentage of the total cost was spent on shopping?

Answers

Answer:

In my opinion he spent 55%

HELP I WILL GIVE BRAINLEST

Answers

Step-by-step explanation:

smallest value 30° largest value 150°.

Answer:

30, 150

Step-by-step explanation:

sin θ = 1 / 2

sin 30 = 1 / 2

θ = 30

So,

the smallest value of θ is 30.

sin ( 180 - 30 ) = sin 150 = 1 / 2

So,

the larger value of θ = 150.

Lucy deposits $200 into an account that pays simple interest at a rate of 3% per year. How much Interest will she be paid in the first 3 years?

Answers

Answer:

$16.48

Step-by-step explanation:

Split this up into the four years.

For the first year, multiply 200 x .02 to get 4

Add 4 onto your total. ($204.00)

For the second year multiply 204 x .02 to get 4.08

Add 4.08 onto your total. ($208.08)

For the third year multiply 208.08 x .02 to get 4.1616 but round to 4.16

Add 4.16 onto your total ($212.24)

For the fourth year multiply 212.24 x .02 to get 4.2448 but round to 4.24

Add 4.24 onto your total (216.48)

Now subtract 200 from your total

216.48-200 = 16.48

She will be payed $16.48 in interest.

Work is shown to solve for the system of equations.

Why does the answer for y indicate that the system has no real number solutions.

O The solution does not solve for X first.

O The values for Y are square roots of negative numbers.

O The values for y have square roots.

O The values for Y have a positive and a negative value.

Answers

Answer:

B The values for y are square roots of negative numbers.

Answer:

b

Step-by-step explanation:

Please help, this is timed :))

Answers

This is the right answer

Help guys I need this right now lol I lose credit

Answers

Answer:

Answer Below

Step-by-step explanation:

7: Not congruent; Only one angle and only side is shown for each triangle

8: ASA; Two angles shown with a side put in-between

9: SSS; Should be self-explanatory (only sides are shown)

10: ASA; Angles with side shoved between

11: Not Congruent; Triangles are separated and only one side are shown

12: Not Congruent; Angles said to be congruent are on different angles

solve pls brainliest

Answers

Answer:   1 is none 2=A   3=B   4=C

Step-by-step explanation:

see it in shapes

Answer:

1. none

2. a

3. b

4. c

Step-by-step explanation:

1: This represents the net of a triangular prism, for it has a square in the middle, two triangles, and two other squares/rectangles. However, there is no triangular prism among the three solids, so the answer for this is none.

2: This represents the net of a cone, for it has a circle as the base and a sector that gives the cone it's curved surface. There is one cone among the three solids, and the answer for this one is A.

3: This represents the net of a tetrahedron, for it consists of 4 equilateral triangles and having one of the triangles as its base. Therefore, the answer for this one is B.

4: This represents the net of a square pyramid, composed of a square as the base and 4 triangles surrounding it. There's one square pyramid among the answer choices, so the answer for #4 is C.

solve pls brainliest

Answers

A is 0.43%
B is 5.4 I hope this help

Answer:

0.43%

5.4

Step-by-step explanation:

To convert 0.0043 to a percentage, multiply the number 0.0043 by 100

0.43%

In decimal form, 540 percent equals

5.4

Like PLS HELP
The system of equations below form a line and a parabola. Select all possible solutions to this system from the answer choice
x+y=5

x^2+y=11

(-2,7)

(7,2)

(3,2)

(2,3)

(5,0)

Answers

Answer:

2,3 bro bro and also my leg

what's the power. ......​

Answers

Answer:

Rate of DOING WORK is called power

-12p^18 i think… im not sure though but you just add the powers and p to the power of nothing is 1

The vertices of a triangle are A (-2, 3), B (5, 10), and C (12-4). Find the coordinates of the intersection of the medians.

The intesection of the 2 medians is at __​

Answers

Answer:

a number

Step-by-step explanation:

not a letter

What is the y-coordinate of the y-intercept of function d(x) ? y=-8(X-(5/2) (X+3)

Answers

Answer:

(0,60)

Step-by-step explanation:

I hope I plugged in your equation the right way as you typed it, but this is where the line meets the y coordinate, (0,60)

Does anybody like anime ??

Answers

of course bro why wouldn’t we like anime

what is 2 2/3×3 1/4 as a fraction form

Answers

Answer:

8 2/3

Step-by-step explanation:

2 2/3×3 1/4

Change to improper fractions.

2 2/3=8/3

3 1/4=13/4

8/3x13/4=26/3

=8 2/3

Hope this helps :)

2.5 gallons of water are poured into 5 equally sized bottles. How much water is in each bottle?

Select all the equations that apply.

Group of answer choices

5÷2.5=?

2.5*?=5

5*?=2.5

2.5÷5=?

Answers

First answer : 2
Second answer : 6.25
Third answer : 12.5
Last answer : 0.5

Given that the zeros of a quadratic function are −2 and −5, what is the standard form of the quadratic function? A) f(x) = x2 + 5x + 10 B) f(x) = x2 + 7x + 10 C) f(x) = x2 − 5x + 10 D) f(x) = x2 − 7x + 10

Answers

Step-by-step explanation:

x = -2 and x = -5

x + 2 = 0 and x + 5 = 0

(x + 2)(x + 5) = 0

x² + 5x + 2x + 10 = 0

x² + 7x + 10 = 0

Option → B

Use the distributive property to write an expression that is equivalent to 8 + 24x

Answers

Answer:

8(3x + 1)

Step-by-step explanation:

8 and 24 are multiples of 8

(8/8) + (24x/8) = 1 + 3x

The equation with distributive property is 8(1 + 3x)

-Chetan K

8(3x+1)

when you multiply 8x3 it equals 24

What is the slope of the graph?

Answers

The slope is -1
Hope you get this
No Mistakes

PLEASE HELP ME WILL MARK BRAINLIEST THIS IS DUE IN A HOUR

Answers

Answer:

There is no Question or no images...

Step-by-step explanation:

help its do in 15 mins ​

Answers

Answer:

Step-by-step explanation: its 7

Jan skips 5 m north, 4 m east, 6 m north, 16 m east, and 4 m north. How far is Jan from where
she started?

help asap!!

Answers

Answer:35 m

Step-by-step explanation:

North: 5+6+4. East: 4+16. 15+20

PLEASE ANSWER THIS ASAP THE ONES I GOT WRONG PLEASE TELL ME THE RIGHT ANSWER

Answers

Answer:

for line b - the slope is 0, not undefined. an undefined slope is a vertical line.

for line d - the slope is -1/3. slope is written rise over run, so just count the units that it goes down and how many it goes right. it goes down 1 and right 3, so it is -1/3.

Yes it’s 1/3 and then tier 2 on the right.

which item below weighs more

Answers

Step-by-step explanation:

Rice = 5¾ kg = 23/4kg = 23/4*1000 g = 5750g

Flour = 5725g

Rice > flour

Answer:

lol its rice

Step-by-step explanation:

if [tex]a_{1}[/tex]=10 and [tex]a_{n}[/tex]=[tex]2a_{n-1}[/tex] then find the value of [tex]a_{5}[/tex]

Answers

Answer:

a₅ = 160

Step-by-step explanation:

Using the recursive rule and a₁ = 10 , then

a₂ = 2a₁ = 2 × 10 = 20

a₃ = 2a₂ = 2 × 20 = 40

a₄ = 2a₃ = 2 × 40 = 80

a₅ = 2a₄ = 2 × 80 = 160

Add the following fractions answer in lowest terms.

1) 9/10+4/5+5/6=
2) 14/15+2/9+1/5=


please give me Right answers please.​

Answers

Answer:

1) 9/10 + 4/5 + 5/6 = 2 8/15

2) 14/15 + 2/9 + 1/5 = 1 16/45

==============================================

Solution:

[tex] \bold{1)} \: \tt \frac{9}{10} + \frac{4}{5} + \frac{5}{6} \\ \\⟹ \tt \frac{9}{10} + \frac{4}{5} \\ = \tt \frac{9 \times 1}{10 \times 1} + \frac{4 \times 2}{5 \times 2} = \frac{9 + 8}{10} = \frac{17}{10} \\ \\ ⟹\tt \frac{17}{10} + \frac{5}{6} \\ = \tt \frac{17 \times 3}{10 \times 3} + \frac{5 \times 5}{6 \times 5} = \frac{51 + 25}{30} = \frac{76}{30} \: or \: 2 \frac{16}{30} = 2 \frac{8}{15} \\ \\ \\ \\ \bold{2)} \tt \: \: \frac{14}{15} + \frac{2}{9} + \frac{1}{5} \\ \\⟹ \tt \frac{14 \times 3}{15 \times 3} + \frac{2 \times 5}{9 \times 5} = \frac{42 + 10}{45} = \frac{52}{45} \\ \\⟹ \tt \frac{52}{45} + \frac{1}{5} \\ = \frac{52 \times 1}{45 \times 1} + \frac{1 \times 9}{5 \times 9} = \frac{52 + 9}{45} = \frac{61}{45} = 1 \frac{16}{45} [/tex]

Solve the system by elimination

3x-2y=3
15x-4y=-3

Answers

Answer:

x=-1

y=-3

Step-by-step explanation:

3x-2y=3(1)

5.(1) <=> 15x-10y=15 (2)

15x-4y=-3 (3)

(2)-(3) <=> -6y=18

At what values of x, does f(x) = 0?

A. 2

B. 8

C. -4

D. 0

E. -1

F. 4

Answers

Answer:

D : 0

Step-by-step explanation:

f(0) = 0

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