Given f(x) and g(x) below, find the value of f(2) and g(1). *
1 point
If f(x) = 4x + 1 and g(x) = x2 – 4, find the value of f(2) and g(1).

Answers

Answer 1

Answer:

f(2) = 9

g(1) = -3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Function Notation

Step-by-step explanation:

Step 1: Define

f(x) = 4x + 1

g(x) = x² - 4

f(2) is x= 2

g(1) is x = 1

Step 2: Evaluate

f(2)

Substitute:                     f(2) = 4(2) + 1Multiply:                         f(2) = 8 + 1Add:                               f(2) = 9

g(1)

Substitute:                    g(1) = 1² - 4Exponents:                   g(1) = 1 - 4Subtract:                       g(1) = -3

Related Questions

Can someone help me calculate angles?

Answers

Answer:

1.45

2. 135

Explanation:

1.  With a triangle all angles have to add up to 180, so what you would do is add up both angles we already know (43+92=135), then we subtract the sum from 180, (180-135=45) now you know the third angle.

2.  Just like a triangle, when finding angles on a line, it has to add up to 180. We already know that point M has an angle of 45 from the last problem, so all we have to do is subtract 45 from 180 (180-45=135). THats the measurement on TMS

Gcf/ greatest common factor and / LCM least common multiple Mang Andoy is going to put in trays of 6 eggs and 12 eggs. What is the smallest number of eggs that Mang Andoy can put using the tray. 1. What is asked? _________________________________ 2. What are given facts? _________________________________ 3. How will you solve the problem? ___________________________ 4. How is the solution done? ______________________________ 5. What is the answer to the problem? ___________________________

Answers

Answer with explanantion:

1. What is asked? The smallest number of eggs that Mang Andoy can put using the tray.

2. What are given facts?  Two kinds of tray (One can have 6 eggs , other can have 12 eggs)

3. How will you solve the problem? We need to find LCM of 6 and 12.

4. How is the solution done?

Prime factorization of 6 and 12:

6=2 x 3

12 = 2 x 2 x 3

LCM(6,12) = 2 x 2 x 3 = 12

5. What is the answer to the problem? The smallest number of eggs that Mang Andoy can put using the tray = 12

(I retook the photo for u nice smarts) here I go nice person help

Answers

Answer:

(6,7)

x=6

y=7

Step-by-step explanation:

What you do is combine the two equations and solve for x

1/3x+5=5/3x-3

Add three to both sides and subtract 1/3x from both as well

This gives us

8=4/3x

Divide by 4/3 and get

x=6

Then plug x=6 into any of the equations and get

1/3*6+5

This gives us 7

 

Answer:

I'm the bad guy

Step-by-step explanation:

Find the solution to the system of equations

−8x+9y=−21
-3x+9y=−36

Answers

Answer:

(-51,-21) solve for the first variable in one of the equations. then substitute the result into the other equation

This is the answer to the question mark me the brainliest
X=-3
Y=-5

Prove that the value of the expression:
165+164 is divisible by 17

Answers

Answer:

329 divided by 17 is 19.3529411765 so round it 19.3529 turns in to 19.353

so take that and mutiply it by 17 then you will get 329

Step-by-step explanation:

Answer:

[tex]16^{2} (272)[/tex] is divisible by 17

Proof:

In order to solve this question we will have to factor  [tex]16^{5} + 16^{4}[/tex]. We will have to do that as follows.

[tex]16^{5} + 16^{4} = 16^{3} (16^{2} + 16) = 16^{2} (272)[/tex]

From here we know the the resulting number will be equal to [tex]16^{2} (272)[/tex] now we will need to know the following property. If "b" is divisible by "c" then "ab" (where a is any integer) will also be divisible by c. In our case one of the factors is 272, and it is divisible by 17, so that means that [tex]16^{2} (272)[/tex] will also be divisible by 17.

Find the least common multiple (LCM) for the pair of numbers.
20, 3
Need answers like now

Answers

Step-by-step explanation:

A method for this would be the tree diagram

20

/. \

10 x 2 ( u circle 2,times with 1 will times into itself)

/ \. (nothing goes into 2)

5x2 (same goes for 5 and the rest)

5x2x2= 20

3. (cant times into itself)

so 2x5x3 = 30

LCM = 30

on day 1 a patient measures 5 feet and 11 inches tall. after 4 days of stretching the patient measures 5 feet and 11 inches tall. What is the slope and is it negative or positive?

Answers

Answer:

slope is zero

Step-by-step explanation:

zero slope is neither positive or negative; it indicates no change whatsoever

Find the value of x...X=?

Answers

Answer:

The value of  x° = 134°

Step-by-step explanation:

Given the angles of a quadrilateral

100°51°75°x°

We know that the sum of interior angles in a quadrilateral is 360°.

so

100° + 51° + 75° + x° = 360°

226° + x° = 360°

subtracting 226° from both sides

226° + x° - 226°  = 360° - 226°

x° = 134°

Therefore, the value of  x° = 134°

VERIFICATION:

100° + 51° + 75° + 134° = 360°

360°= 360°

Solution:

→ 100° + 51° + 75° + x = 360°

→ (100° + 51° + 75°) + x = 360°

→ 226° + x = 360°

→ x = 360° - 226°

→ [ x = 134° ]

Thus, the value of x is 134°.

heres yo go mattty lolololololol

Answers

Answer:

x = 16

Step-by-step explanation:

71 - 15 = 56

56 ÷ 14 = 4

[tex]\sqrt{16}[/tex] = 4

Check work:

[tex]\sqrt{16}[/tex] = 4

14 x 4 = 56

56 + 15 = 71

What is the recursive formula for this arithmetic sequence? 5, 9, 13, 17..​

Answers

Step-by-step explanation:

Every term that has another term preceding it is 4 more than the previous term.

The recursive formula is a(n) = a(n - 1) + 4.

Simplify the expression below using the distributive property

Answers

Answer:

-84-12i

Step-by-step explanation:

The one you have is the answer :)

11. Which regular polygon has a minimum rotation of 45° to carry the polygon onto itself?

A. octagon

B. decagon

C. hexagon

D. pentagon

Answers

Answer:

the answer is a octagon that has rotation of 45degrees

What is the vertex of the function f(x) = 2+3x+ 3/2

Answers

Answer:

0=2+3x+3/2

0=7/2+3x

-3x=7/2

divide by -3 on both sides

x=-7/6

hope this helps

Step-by-step explanation:

Which of the following is a solution to this inequality?

y > 1/2x + 2

A. (1,4)

B. (-1,1)

C. (2,3)

D. (0,2)

Answers

Answer:

A. (1,4)

Step-by-step explanation:

help me, please............

Answers

Answer:

reflected over the y axis

What is the binomial expansion of (x+2y)^7

Answers

Answer:

......................................................................

HELP PLEASEEEE
The diameter of Jupiter is about 10 times the diameter the Earth . Which object in the solar system has a diameter that about 10 times the diameter of Jupiter ? A)Saturn B)Sun C) Moon D) Mercury

Answers

Answer: B: Sun.

Step-by-step explanation: Jupiter is the largest mass in our solar system, other than the sun. Everything else is too small.

The object in the solar system has a diameter that is about 10 times the diameter of Jupiter is B: Sun.

What is the fundamental principle of multiplication?

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

We have been given that the diameter of Jupiter is about 10 times the diameter of the Earth.

We know that Jupiter is the largest mass in our solar system, other than the sun. other planets are too small.

Diameter of Jupiter = 1.43 x [tex]10^5[/tex]km

Diameter of Earth = 1.27 x 1[tex]0^4[/tex]km

Diameter of Jupiter = 10 (Diameter of Earth)

Ratio = Jupiter/Earth

Ratio =  1.43 x [tex]10^5[/tex]/1.27 x 1[tex]0^4[/tex]km

Ratio = 11.3

Since all the other planets are small; only the sun has the largest diameter than Jupiter.

Learn more about multiplications;

https://brainly.com/question/14059007

#SPJ6

yo i need the answer foh dis right ha ight help me dawgggg

Answers

Answer:

-1/3

Explanation:

Answer:

Ionk dis buhh i guess it's -1 sum damm i forgot

Step-by-step explanation:

Hope dis helps ighh

graph the line witg the equation y=-x-6​

Answers

Answer:

Attached is the graph. The x-intercept is -6, and the y-intercept is -6.

HELP HELP HELP HELP Pi =?

Answers

3.14 is the number for pi

Answer:

Pi = 3.14159265359

Step-by-step explanation:

3.14159, this is π

Followed by 2-6-5-3-5-8-9

Circumference over diameter

7-9, then 3-2-3

OMG! Can't you see?

8-4-6-2-6-4-3

And now we're on a spree

38 and 32, now we're blue

Oh, who knew?

7, 950 and then a two

88 and 41, so much fun

Now a run

9-7-1-6-9-3-9-9

Then 3-7, 51

Half way done!

0-5-8, now don't be late

2-0-9, where's the wine?

7-4, it's on the floor

Then 9-4-4-5-9

2-3-0, we gotta go

7-8, we can't wait

1-6-4-0-6-2-8

We're almost near the end, keep going

62, we're getting through

0-8-9-9, on time

8-6-2-8-0-3-4

There's only a few more!

8-2, then 5-3

42, 11, 7-0 and 67

We're done! Was that fun?

Learning random digits

So that you can brag to your friends

The area of a rhombus is 16 cm 2 . If the length of one diagonal is 4 cm, find the
length of the other diagonal.

Answers

Given:The area of a rhombus is 16 cm². If the length of one diagonal is 4 cmTo Find:the length of the other diagonal. Solution:

Let, the length of the other diagonal be X

According to the Question:

We know that:

▶ Area of rhombus = ½ × d1 × d2

16 = ½ × 4 × d2

d2 = 32/4

8 cm

_________________________

Hope it helps u!!

can someone help me please?

Answers

Answer:

72/100

Step-by-step explanation:

Pls help and show workings due ASAP

Answers

Answer:

m = 2/3

Step-by-step explanation:

slope is equal to rise/run

rise = y2 - y1 = 7 - 1 = 6

run = x2 - x1 = 3 - (-6) = 9

simplify 6/9 = 2/3

A prism has a height of 5 inches and a volume of 80 cubic inches.

Select all figures that could be the base for this prism.

O a square with side length 4 inches

O a 2 inch by 8 inch rectangle

O a circle with radius 2 inches

O a right triangle with legs 4 inches long

O a heart-shaped base with an area of 16 square inches

Answers

Answer:   a square with side length 4 inches

a 2 inch by 8 inch rectangle

a heart-shaped base with an area of 16 square inches

Step-by-step explanation: The given height is 5. Any base with an area of 16 square inches will be an acceptable base.

For example, if the circular base had a radius of about 2.257 inches, its area would be 16 square inches

(2.257)² ≈ 5.093

5.093 × 3.1416 ≈ 16

16 × 5 = 80

The base for this prism should be like

a square with side length 4 inches.

a 2 inch by 8 inch rectangle.

a heart-shaped base with an area of 16 square inches.

Could be the base for the prism:

Since

The given height is 5.

Any base with an area of 16 square inches should be considered as an acceptable base.

Like if the circular base had a radius of about 2.257 inches, its area would be 16 square inches

So, it be like

(2.257)² ≈ 5.093

Now

5.093 ( 3.1416) ≈ 16

16 ( 5) = 80

Learn more about prism here; https://brainly.com/question/24606047

Catty Couture is a company that make designer socks for cats.

134 cats are waiting for their socks to be made.

How many socks is this in total?

Answers

Answer:

536

Step-by-step explanation:

4 paws on each cat, multiply by the amount of cats = 536

A person deposited Rs 60000 in a bank for 2 years at the rate of 10%pa compounded annually.But after one year,bank has changed the policy and decided to pay semi-annual compound interest at the same rate.What is the percentage difference between compound interest of first year and second year?

Answers

Answer:

[tex]1.159\%[/tex]

Step-by-step explanation:

Given: Principal or P [tex]=\textrm{Rs }60,000[/tex].

Rate or R [tex]=10\%[/tex] per annum compounded annually.

Time or T [tex]=2[/tex] years.

To find: Percentage difference between compound interest of first year and second year.

Solution:

First year interest [tex]=\frac{\textrm{P}\times \textrm{R}\times \textrm{T}}{100}=\frac{60000\times 10\times 1}{100}=\textrm{Rs }6000[/tex].

First year amount [tex]=\textrm{Rs }60,000+\textrm{Rs }6,000=\textrm{Rs }66,000[/tex].

For the second year, the interest is compounded semi-annually.

So, time is doubled and the rate is halved.

Second year compounded amount [tex]=66,000\times [1+\frac{10}{2\times 100}]^2=66,000\times1.1025=\textrm{Rs }72,765[/tex].

Second year compound interest [tex]=\textrm{Rs }72,765-\textrm{Rs }66,000=\textrm{Rs }6,765[/tex].

Difference in interest of first and second year [tex]=\textrm{Rs }6,765-\textrm{Rs }6,000=\textrm{Rs }765[/tex].

Percentage difference [tex]=\frac{765}{66000}\times 100\%=1.159\%[/tex].

Hence, the percentage difference between compound interest of first year and second year is [tex]1.159\%[/tex].

PLEASE ANSWER THIS IN SLOPE INTERCEPT FORM!!!

Answers

Answer:

The answer is

[tex]y = - \frac{3}{4} x + \frac{13}{4} [/tex]

A rectangle of sides 5 cm and 2 cm is cut out from a bigger rectangle of sides 14 cm and 7 cm to form a new shape as shown below.
What is the perimeter of the new shape formed?

a. 46 cm
b. 40 cm
c. 22 cm
d. 20 cm

Answers

Answer: a. 46 cm

Step-by-step explanation:

(7 + 14) × 2 + 2× 2 = 46 (cm)

The perimeter of the new shape formed when a smaller rectangle is cut out is 46 cm

Given:

Smaller rectangle

length = 5 cm

width = 2 cm

perimeter of smaller rectangle = 2(length + width)

= 2(5 + 2)

= 2(7)

= 14

Larger rectangle

length = 14 cm

width = 7 cm

perimeter of larger rectangle = 2(length + width)

= 2(14 + 7)

= 2(21)

= 42 cm

perimeter of new shape = perimeter of larger rectangle + 2 × 2

= 42 + 4

= 46 cm

Therefore, the perimeter of the new shape formed when a smaller rectangle is cut out is 46 cm

Learn more about perimeter of a rectangle:

https://brainly.com/question/17297081

help pls will give brainless

Answers

Answer:

(3). h = 4√6 units ; (5). x = 3√21 units

Step-by-step explanation:

(3). "h" is geometric mean

h² = 6 × 16 = 96

h = 4√6 units

(5). h = √(7 × 20) = √140 = 2√35

x² = 7² + 140 = 189

x = 3√21 units

if 3x - 6.59 = 11.41 what is the value of x

Answers

Answer: x = 6

Step-by-step explanation:

3x - 6.59 = 11.41

Add 6.59 to both sides

3x = 18

Divide both sides by 3

x = 6

Hope that helped!

Answer:

I have the same question,

Step-by-step explanation:

Other Questions
Please show your work !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!! if u help me I would very much like that. thx and gm Help please!! The half life of lutetium-117 is 6.75 days. Calculate the percentage remaining after 27 days. 10) Stan has $55. He wants to buy a belt that costs $14 and some Tshirts that cost $9 each. How many Tshirts can he buy?a) Let n represent the number of Tshirts and translate into an inequality. b) How many Tshirts can he buy? Question 1: Years ago in this arena gladiators battled, Christians were fed to lions, and ships fought naval battles in the flooded center. This structure can be found in Italy and is called the _______A. LouvreB. Eiffel TowerC. ColosseumD. ParthenonQuestion 2: The Louvre, Eiffel Tower and Notre Dame all have something in common. They are all _________A. monuments to European achievementB. museumsC. found in Paris, FranceD. religious structures Which two phrases in this information about Medicare prescription drug coverage are noun phrases?Medicare offers prescription drug coverage to help senior citizens and others who need medical assistance get the prescription drugs they need, under Part D of the program (or Part C if you are enrolled in the Medicare Advantage Plan). The subset of the US population with Medicare can join a drug plan to get this coverage. Not all Medicare drug plans are the same, however. Look for the "Medicare Approved" seal on drug discount cards to make sure you are getting the best deal.A. to help senior citizens and othersB. The subset of the US population with MedicareC. Not all Medicare drug plansD. for the "Medicare Approved" seal on drug discount cards In the standard (x, y) coordinate plane, what is the y-coordinate of the midpoint onthe line segment between the points (-6, 2) and (3, -10)? Can you withdraw from courses in top hat? What decisions did everyone at the Alamo have to face? equation invalid?Al +202 A1203O A. An atom of aluminum (Al) is created in the reaction.B. An atom of oxygen (O) is destroyed in the reaction.O C. The equation violates the Law of Conservation of Mass.O D. All of the above.1 View Gizmo WOULD THERE BE ANY BACTERIAIN AN AQUARIUM?A balancedaquariumcontains certain animals aswell as some plants. Howmany kinds of animals canyou make out in theaquarium shown here ? Nameany two such animals.............................Do you think there would besome bacteria in it? If so, inwhich part of the aquariumwould they be occurring inabundance and what for?................. i cannot do graphs to save my life someone help! estimate the weight of 6 apples explain your thinking help is severely needed Brendan Gan is about to drive to Kuala Lumpur from Johor Bahru. The distance from Johor Bahru to Kuala Lumpur is 330 km. Brendan's car can drive 60 miles using 1 gallon of petrol The current petrol costs are RM1.85 per liter. Calculate the total petrol cost for Brendan to drive from Johor Bahru to Kuala Lumpur. Use: (1 gallon = 4.5 liters 1 mile = 1.61 km Round up answer to 2 decimal places (8 marks) 45 PTS What role do plants play in the water cycle?precipitationtranspirationcondensationcooling The US Council on Environmental Quality, the World Wildlife Fund of the United States, the Ecological Society of America, the Smithsonian Institution, and the International Union for the Conservation of Nature have proposed four principles of wildlife conservation. Which of the following does not apply to wildlife conservation? A) continuous monitoring, analysis, and assessment B) ecosystem maintenance that includes wildlife C) a plan encompassing entire communities of organisms and all renewable resources D) a continued interest in harvesting populations for sport Please select the best answer from the choices provided A B C Save and Exit Jessica has bought 18 pounds of dog food. She feeds her dog 2/3 pounds for each meal. For how many meals will the food last? There are 12 red gummy bears in a jar of 60 gummy bears what is the percentage of the gummy bears in the jar that are red Francisco Scott key watched the battle at fort McHenry and wrote a poem that we now call