Mathematics College

Find (f+g)(x) for the function.
f(x) = x2 + x
g(x) = x + 2

Answers

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

x^2 + x + x + 2

= x^2 + 2x + 2

Final answer: x^2 + 2x + 2

Related Questions

A rectangle is 6 centimeters longer than it is wide.
Its length and width are both increased by
4 centimeters.

Answers

Answer and Step-by-step explanation:

The length = 6 + w

The width = w

Rectangle when the length and width is increased by 4 centimeters.

length = 10 + w

width = 4 + w

#teamtrees #PAW (Plant And Water)

Solve the simultaneous equations
8x – 3y = 30
3x + y = 7​

Answers

Solve for y in 3x+7=y

y=7−3x

Substitute y=7−3x

y=7−3x into 8x−3y=30

8x−3y=30.

17x−21=30

Solve for x

x in 17x−21=30

17x−21=30.

X=3

Substitute x=3 into y=7−3x

y=-2

Therefore,

x=3

y=−2

​

Question 5 of 8
The graphs below have the same shape. Complete the equation of the blue
graph. Enter exponents using the caret (-); for example, enter to as x^3. Do
not include "G(x) =" in your answer.

Answers

Answer: g(x) = (x - 1)^3

Step-by-step explanation:

There is a transformation called "horizontal translation"

For an initial function f(x), a horizontal translation of N is written as:

g(x) = f(x - N)

where if N is positive, we have a translation of N units to the right.

If N is negative, we have a translation of N units to the left.

Here, we can see that:

f(x) = x^3, such that when x = 0, f(0) = 0.

And g(x) seems to be a horizontal translation of f(x) (because the graph of g(x) is equidistant to the graph of f(x)), then:

g(x) = (x - N)^3

And we can see that when x = 0, g(0) = 1

Then:

g(0) = (0 - N)^3 = 1

          N^3 = 1

          N = ∛1 = 1

Then the equation for g(x) is:

g(x) = (x - 1)^3

I have no idea what to do. Pls help me

Answers

for the first one all u do is 5 times 2 = 10 + 2 = 12. the denominator stays the same so 12/5. then you do the same thing to the other fraction. 3 times 1 = 3 + 2 = 5. the denominator stays the same so your fraction is 5/3. so the answer is 12/5 times 5/3.

hope this helps !

5 couples want to have their pictures taken. In how many ways can they arrange themselves in a row if couples must stay together

Answers

Can u explain it more?

PERMUTATION is my answer...mm

Find the area of the following rectangle.
length = 12 ft.
width = 8 ft.

Answers

Answer:

96 ft

Step-by-step explanation:

A= bh

A = 12 x 8

A = 96

Answer:

96 ft^2

Step-by-step explanation:

12*8

erica watch 1/2 of a movie in the morning and she watched some at night and by the end of the day she still had 1/3 of left how much did she watch at night?​

Answers

Convert to equivalent fractions to see
Both bottom s can be 6
So times the half by 3
And times the third by 2
1/2=3/6
1/3=2/6
So she has a total of 5/6 of the movie accounted for...
So the left over is 1/6
1/6 at nighttime

Which of the following answer is equivalent to this expression 8+12x

Answers

Answer:

what is the answer choices

Step-by-step explanation:

answer:

4(2+3x)

step-by-step explanation:

4(4+3x)=16+12x

4(x+3x)=16x

3(5+9x)=15+27x

4(2+3x)=8+12x

how to solve 4(2+3x):

4(2+3x)

=(4)(2+3x)

=(4)(2)+(4)(3x)

=8+12x

good luck :)

hopefully, this helps

have a nice day !

The volume of this sphere is 15500cm3.
Work out the length of the radius,
r
.
Give your answer rounded to 1 DP

Answers

Answer:

r = 15.5

Step-by-step explanation:

4/3 pi r^3 = 15500 cm^3

r^3 = 15500 ÷ (4/3 pi)

r^3 = 3700.35

r = cube root of 3700.35

r = 15.467

r = 15.5

Answer:

4/3 π r³= 15500

r³=15500×3/4×7/22

r≈15.2 cm

Step-by-step explanation:

A tile measures 10cm by 10cm. How many such tiles are required to cover a wall of size 4m and 2.5m?

Pls do NOT spam

Answers

Answer:

Step-by-step explanation:

[4m(2.5m)(100^2cm^2/m^2)]/10^2cm^2=1000 tiles

Answer: 1000

Step-by-step explanation:

10xm×10cm=100cm

400cm×250cm=100000cm

100000cm²÷100cm²=1000

Which has the most elastic demand?
A)Post Raisin Brand
B) cereal
C) Post Raisin Brand from a Giant grocery store
D) food
E) Breakfast food

Answers

Answer:

C

Step-by-step explanation:

because Post rasinin brand from a giant grocery store

Answer:

C

Step-by-step explanation:

I hope this help

A 2-gallon bottle of bleach costs $14.24. What is the price per pint?

Answers

Answer:

16 divided by 14.24 = 1.12359550562

If you round it would be: $1.12

Answer:

$1.12

Step-by-step explanation:

there are eight pints in a gallon, and since theres two gallons, that mean theres 16 pints. 16 divided by 14.24 is 1.12

AAP4C
Applications of Trigonometry
1. A ladder that is 10 feet long is leaning against a wall at a 71° angle.
a. How far from the wall is the foot of the ladder?
b. How high up the wall does the ladder reach?​

Answers

Answer:

cosine 71° = distance from wall / 10

A) distance from wall = cosine (71) *10

distance from wall = 3.2557 feet

B) Height up the wall ^2 = 10^2 - 3.2557^2

Height up the wall ^2 = 100 -10.59958

Height up the wall ^2 = 89.40041751

Height up the wall  = 9.45518 feet

Step-by-step explanation:

Match each statement (term) with its value in relation to 0 (definition).

Match Term Definition
A building is 38 feet tall. A) 2.7
The scuba diver was 38 feet below sea level. B) −38
The basement is 8.3 feet below ground. C) 38
Oliver owes his sister $27. D) –27
Erica jumped 2.7 feet above ground. E) –8.3
Match them
for example: A C D B (not the answer just an example)

Answers

The correct order is as follows: C, B, E, D, A

Harry is a manager at a shoe factory. He is in charge of the manufacturing department. The president of the company asks Harry the following question. "How many athletic shoes are produced each month?" Why is the above question a statistical question? A. It anticipates variability in the data. B. All of the answers will be consistent. C. There is one answer to the question. D. The data collected will be cumulative.

Answers

Answer:

B. It anticipates variability in the data

Step-by-step explanation:

Statistics is the study of data gathering, organization, analysis, interpretation, and presentation. The correct option is A.

What are statistics?

Statistics is the study of data gathering, organization, analysis, interpretation, and presentation. It is customary, to begin with, for a statistical population or a statistical model to be researched when applying statistics to a scientific, industrial, or social problem.

The given question that is asked by the President of the company is a statistical question because of the reason that the data anticipates variability. Hence, The correct option is A.

Learn more about Statistics:

https://brainly.com/question/8058700

#SPJ2

3. Classify the number: -4

Answers

Answer:

Aight.

Rational, Real, Integer, Negative

Answer:

It is a rational, real, negative number, and an integer.

Hope that helps!

Step-by-step explanation:

Use the quadratic formula to solve for x. 5x² + 4x=4 Round your answer to the nearest hundredth. If there is more than one solution, separate them with commas.​

Answers

x=0.58, x= -1.38

Quadratic formula is:
(-b-/+ sqrt b^2-4ac)/2a

We need to get the function to equal zero so we subtract 4 from both sides.

5x^2+4x-4=0 is out new equation.

a=5, b=4 and c=-4

Now we can solve by plugging in the variables!

-4+ sqrt 4^2-4(5)(-4)/2(5)= 0.5797

Do the same with subtracting because of the plus OR minus

-4-sqrt 4^2-4(5)(-4)/2(5)= -1.3797

Rounded to the nearest 100th will be:

x= -1.38, x=0.58

You can check your answer by plugging them back into the original function— you should get zero. :)

ast week, a coral reef grew 20.4mm taller. How much did it grow in meters

Answers

Answer:

0.0204 meters

Step-by-step explanation:

Answer:

0.0204

Step-by-step explanation:

1 metre=1000 metres

x = 20.4

cross mutiply

20.4/1000

0.0204

i will mark you brainliest once you get the answer correct first!!

Answers

Given:

A composed figure of a rectangle, semicircle and another semicircle removed.

To find:

The area of the given figure.

Solution:

From the given figure it is clear that the diameter of semicircle and removed semicircle are same, i.e. 8 cm.

Since the diameter of semicircle are equal, therefore their area is also equal.

The area of the given figure is:

A = Area of the rectangle - Area of removed semi circle + Area of semicircle

A = Area of the rectangle - Area of semicircle + Area of semicircle

A = Area of the rectangle

We know that, the area of a rectangle is

[tex]A=length\times width[/tex]

The length of the rectangle is 14 units and width is 8 units. So, the area of composed figure is

[tex]A=14\times 8[/tex]

[tex]A=112[/tex]

Therefore, the area of the combined figure is 112 sq. units.

given the equation what would it look lile on a table. ​

Answers

Answer:

I apologise for how scruffy it looks, i didnt have a book or pen with me so this is the best i can do.

Please help if you understand!! I hope everyone has a great day or is having a great day​

Answers

Answer:

Firstly, notice the relationship the two triangles have. They have conjoining ends that form vertical angles (looks like a middle x). Vertical angles are equivalent in measure of degrees.

Secondly, notice that the triangle on the right side is a right triangle. One of its angle's measurements are also given; 40 degrees. If you know that the sum of a triangle's angles equal 180 degrees, then simply subtract the known angles measurements from 180.

180-(90+40)=  180-130=50.

Therefore, the vertical angles measurement is equivalent to 50 degrees.

Apply the principle of the sum of all angles in a triangle equivalent to 180 degrees to the left triangle, and you will be able to find the measurement of the "?" angle.

180-(50+25)= 180-75=105

SO HERE IS YOUR ANSWER= 105 degrees is the value of the angle marked with a "?"

I hope you are having a great day too;)!

Answer:

The value of the angle will be 105 degrees

Step-by-step explanation:

First, one thing to know is that the angles in a triangle all add up to be 180.

From the triangle on the right, two of the angles are given to us.

We have the 40 degree angle and the 90 degree angle (we know it is 90 because of the red box in the triangle indicates that)

Next, you add up 90 and 40 which gives us 130. (90 + 40 = 130)

Because the sum of all the angles in a triangle is 180, you will subtract 180 from 130. (180 - 130 = 50)

The remaining angle from the triangle from the right is 50.

Now, a rule of angles is that vertically opposite angles are equal to each other.

Because we have found the 50 degree angle, the angle vertically opposite from that will also equal 50.

Now we have two known angles in the triangle from the left.

Because we know one degree is 50 and the other is 25, all we have to do is add those two angles and subtract from 180.

50 + 25 = 75

180 - 75 = 105

And there is our answer for the angle that is marked with a "?" --> 105 degrees

Hope this explnation made sense and good luck!

Solve the qustion below please

Answers

Answer:

angle BNU = 60 degrees

Step-by-step explanation:

3x + 8 = 44

3x = 36

x = 12

5x = 60

Suppose there is a 1.9°F drop in temperature for every thousand feet that an airplane climbs into the sky. If the temperature on the ground is 48.8°F​, what will be the temperature when the plane reaches an altitude of 8,000 ft​?

Answers

Answer:

33.6 degrees F

Step-by-step explanation:

8000/1000 = 8

8(1.9) = 15.2 degree drop

48.8 - 15.2 = 33.6 degrees F

What year is 7 years after 2003

Answers

Answer: 2010

Step-by-step explanation:

2003+7=2010

Find m A. 110°
B. 70°
C. 250°
D. 55°

Answers

Answer:

A:100°

Step-by-step explanation:

BECAUSE IS THE SAME

it’s A 110

Same side interior angles are equal

In ΔTUV, the measure of ∠V=90°, the measure of ∠T=55°, and VT = 56 feet. Find the length of TU to the nearest tenth of a foot.

Answers

Answer:

97.6

Step-by-step explanation:

Answer:

97.6

Step-by-step explanation:

Jose deposits S300 into an account that pays simple interest at a rate of 6% per year. How much interest will he be paid in the first 3 years?

Answers

Answer:

$54

Step-by-step explanation:

300 times 0.06 times 3

0.06 times 3 = 0.18

300 times 0.18 = 54

The simple interest is $54

Answer:

$54

Step-by-step explanation:

A = P(1 + rt)

300(1 + (0.06 × 3)) = 354

41.
The Ferris wheel has a radius of 50 feet.
If a car at point E(50, 0) moves to point F,
what are the approximate coordinates of
the car's location after the rotation?

Answers

41.
The Ferris wheel has a radius of 50 feet.
If a car at point E(50, 0) moves to point F,
wha

Is the relation a function?

The relation can be represented by the ordered pairs (2, 1), (3, 4), (5, 19), and (8, 7).

Answers

2...5......4444444.....4444445.
Yes it is a function. The x value does not repeat.

WILL GIVR YOU BRAINLEST PLEASE HELP ASAP!
Lines & and m are intersected by transversal t and e // m.
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By which postulate or theorem is 23* 26?
A. Alternate Exterior Angles Theorem
O
B. Alternate Interior Angles Theorem
o
C. Corresponding Angles Theorem
D. Same-Side Interior Angles Postulate

Answers

Sorry the question you typed is kinda messy. But I see you have typed “23* 26” I’m gonna assume you’re asking which postulate or theorem is angle 2 and angle 3, and angle 2 and angle 6. So angle 2 and 3 are vertical angles. Angle 2 and 6 are corresponding angles. If that wasn’t what you wanted, please let me know in the comments so I can understand your problem clearly and solve it.
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