State the degree of each of the following and identify it as a linear or non-linear relation.
a. y = x2 + 2x + 1 b. 3x + 3y = 6

Answers

Answer 1

Answer:

a) Degree of 2; non-linear

b) Degree of 1; linear

Step-by-step explanation:

a) The degree is the highest power of the variable in the given equation:

Given  y = x^2 + 2x + 1

From the given equation, we can see that the highest power of x is 2. Hence the degree of the equation is 2.

Any equation with degrees of 2 and above is a non-linear equation. Hence the equation is a non-linear equation

b) For the equation 3x + 3y = 6

Divide through by 3

x + y = 2

From the given equation, we can see that the highest power of x and y is 1. Hence the degree of the equation is 1.

Any equation with a degree of 1 is a linear equation. Hence the equation is a linear equation


Related Questions

Explain the relationship between an inda vidual and a society​

Answers

Answer:

The relation between individual and society is very close. Essentially, “society” is the regularities, customs and ground rules of antihuman behavior. ... Man is biologically and psychologically equipped to live in groups, in society. Society has become an essential condition for human life to arise and to continue.

20 POINTS - 1 EASY QUESTION



You’ve seen two methods for finding the area of ΔABC—using coordinate algebra (by hand) and using geometry software. How are the two methods similar? How are they different? Why might coordinate algebra be important in making and using geometry software?

Answers

Answer and explanation:

How are the two methods similar? They both apply the fundamentals of triangle geometry in solving the area of a triangle using the formula for area of triangle 1/2×base of triangle×height of triangle.

How are they different? Using coordinate algebra in finding area of a triangle, you would have to measure coordinates(xy coordinates) of a triangle manually on the graph and find y coordinates based on x. If you used a geometry software, it would get these coordinates automatically(based on your graph on the software) and calculate area of triangle using the formula.

Why might coordinate algebra be important in making and using geometry software? A solid grasp of coordinate algebra allows you understand how the geometry software works because it makes use of same geometry fundamentals, making it easier for you to tweak and get the best value out of the software for your geometry calculations.

Answer:

They all use the same formula for area of triangle 1/2 base of triangle height of triangle to identify the area of a triangle using the essentials of triangle geometry.To find the area of a triangle using coordinate algebra, you must configure way of measuring the triangle's coordinates like the x and y coordinates on the graph and afterwards find the y coordinates depending on the x coordinates. If you were using geometry software, it would immediately determine the area of the triangle by using formula based on your graph on the software.Because geometry software uses the same geometry basic concepts as coordinate algebra, having a proper understanding of coordinate algebra makes it simpler to improve.

Step-by-step explanation: im sorry if this doesn't help or if its incorrect more than welcomed to add some stuff to it!

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
The students in Shawn's class got to choose whether to visit the zoo or the aquarium. 3 students went to the zoo and 15 students went to the aquarium. What is the ratio of the number of students who went to the zoo to the number of students who did not go to the zoo?
A. 1:6
B. 1:1
C. 1:3
D. 1:5

Answers

Answer:

either it's 1:3 or 1:6

Step-by-step explanation:

3 students went to the zoo, and 15 students went to the aquarium.

15 plus 3 is 18.

3/18 then reduces to 1/6

therefore it is:

1:6

(before, I got my answer deleted so, maybe it is 1:3, but I solved it and got 1:6)

the sum of 5 times a number and 8 is equal to 9

Answers

Answer:

The unknown number is [tex]\frac{1}{5}[/tex]

Step-by-step explanation:

Let's make the unknown number x.

The sum of 5 TIMES a number (x) & 8 is 9.

Let's write it mathematically.

5x + 8 =9

We are trying to find the unknown number, so let's remove all the numbers from the left side to find x. Minus 8.

5x=1

5x is basically 5 times x, so to find x, we need to divide and from there we can remove 5.

x= [tex]\frac{1}{5}[/tex]

Find the approximate side length of a square game board with an area of 194 in2.

Answers

Answer:

root 194=13.928 inches

Someone please help! I have spent lots of time on this and I’m still confused

Answers

Answer:

its the 3rd choice.

Step-by-step explanation:

Firstly, we find angle BDC (180-90-30=60)

Now that we found it we can use the sine rule to find DB (which i put as an x), which is sin60/14=sin30/x, by cross multiplication, we find that its equal to a decimal number, i will use its root version to this easier, its equal to 14sqrt3/3 inches.

And now we use the pythagorean theorem to find DC, we find that it is equal to 28sqrt3/3

Now, we find angle BAC (180-90-(30+15)=45)

Again, we use the sine rule to find AB (whom i will refer to as x and from whom we will subtract DB to find the length of AD), so we cross multiply in sin45/14=sin(30+15)/x, it is equal to 14.

So since AB-DC=AD

14-(14sqrt3/3)= 5.917096231 (and we ound that to a 5.9)

the total surface area of pencil is πr(L+2H+2r+r)
πr(L+2H+r)
πr(2L+r)
πrL​

Answers

Answer:

2pi*r(r+h)

Step-by-step explanation:

SEE IMAGE FOR SOLUTION

HAVE A GREAT DAY

The domain for f(x) and g(x) is all real numbers.


Let f(x) = x2 + 1 and g(x) = x4 − 1.


Find f · g.


A.
x6 + x4 − x2 − 1


B.
x4 + x2 − 1


C.
x8 + x4 − x2 + 1


D.
x6 − x2 − 1The domain for f(x) and g(x) is all real numbers.

Answers

Answer:

A

Step-by-step explanation:

(f*g)(x) = f(x) * g(x)

=(x2+1)(x4-1)=x6-x2+x4-1

the ratio of thomson's age to racheal's age is 2:3.racheal is 24 years old. how old is thomson?

Answers

2:3

Given Racheal = 24 years

Thomson = 2/3×24

= 2×8

= 16 years

Must click thanks and mark brainliest

If the diameter of a cylinder is 18 inches, the radius of the cylinder is 9 inches.

True False

Answers

Answer:

True

Step-by-step explanation:

A cylinder has two circles as its bases, and the diameter formula is:

2r = d

So if you plug in:

2r = 18

---    ---

2     2

r = 9

So it will be true.

Hope this helped.

please help me i'm being timed

Answers

Answer:

B. A linear, partial variation

Step-by-step explanation:

We know that speed = distance / time. From the table we have a linear function, and it's indirect, or partial.

Plz tell me the answer to this one

Answers

The 4th one ( bottom left)

Hi! I'm happy to help!

First of all in this question, we need to find out the total amount Eric paid.

Let's add the two values together.

1.29+0.39=$1.68

If he spent $2, we need to subtract the amount he owed, to get the amount of change.

2.00-1.68=$0.32

Now that we know he receives 32 cents in change, we have to find out which picture that is in.

This top left photo shows two dimes and two pennies. Dimes are worth ten cents and pennies are worth one.

10+10+1+1=22

The top left photo show 22 cents so that is incorrect.

The top right photo shows a quarter, a dime, and two pennies. A quarter is worth 25 cents.

25+10+1+1=37

The top right photo shows 37 cents so that is also incorrect.

The bottom left photo shows a quarter, a dime, a nickel, and two pennies. A nickel is worth 5 cents.

25+10+5+1+1=42

The bottom left photo shows 42 cents, so that is also incorrect.

The bottom right photo shows a quarter, a nickel, and two pennies.

25+5+1+1=32

The bottom right photo shows 32 cents so that one is correct.

You should select the bottom right photo.

I hope this was helpful, keep learning! :D

The lengths of the triangle's sides are 5, 12 , 13. What is the measure of the angle opposite to side 13?

Answers

Answer:

90°

Step-by-step explanation:

i can help you in any time

One of the legs of a right triangle measures 16 cm and its hypotenuse measures 20
cm. Find the measure of the other leg. If necessary, round to the nearest tenth.

Answers

Answer:

12.

Step-by-step explanation:

Use the Pythagorean theorem. 16^2+b^2=20^2. Multiply the exponents: 256+b^2=400. subtract 256 from 400=144. Therefore 144=b^2. the square root of 144 is 12.

Find the volume of each figure. Round your answers to the nearest tenth, if necessary​

Answers

Answer:

437.9

Step-by-step explanation:

Volume is pi*r^2*h=pi*(49)*9=437.9

Please help ME ASAP!!Please explain the answer

Answers

Answer:

It seems like you misunderstood the instructions, though I don't blame you because they wrote it strangely. I believe that you're supposed to draw your own conclusion and then explain how you go there, rather than analyze a conclusion that was already drawn for you. If a long drive=a large fare, and you've been told that the driver has a long drive, you can draw the conclusion that "The fare will be large."

!20 Point! Please help me find the surface area!

Answers

PLEASE, forgive me but I answered this and hopefully what I see is correct. I’m really sorry if this weren’t the real measurements!

Answer:

192 square inches

Step-by-step explanation:

Surface area questions often include the net for easy answering. All you do is just find the area of each face and add them all up:

As you can see, all triangles in this net of a pyramid are the same, so once we find the area of one triangle, we’ll just multiply by 4:

FIND AREA OF ONE TRIANGLE (1/2 x b x h)

1/2 x 8 x 12 = 48 square inches

MULTIPLY BY 4 for SURFACE AREA:

48 x 4 = 192

so the SA is 192 square inches!

brainliest?

Answer:

The base is 12 the height is 8.

Using the formula of finding the area of a triangle: BH x 1/2

8 x 12 x 1/2 = 48 Area of one triangle.

Since there are 4 equilateral triangles we multiply the area of one triangle 4 times since they are all equal.

48 x 4 = 192 in2 is your surface area

(haven't done this in quite a while so make sure to check other answers for more reassurance)

How do I do this?pls help someone i need to understand it for a important test tomorrow

Answers

Answer:

1.08915145

Step-by-step explanation:

First of all do 39 x 52, which equals 2028. Then to do the second part of the equation we move the two bottom numbers place value up by one giving us 38 x 49 which is 1862. And then we put 2028 divided by 1862 into our calculators and get the answer as 1.08915145.

Is the expression \left(5 \times 2\right)^x(5×2)
x
always equal to the expression 10^x10
x
? Explain your answer.

Answers

9514 1404 393

Answer:

  yes

Step-by-step explanation:

The expression (5·2)^x is evaluated by evaluating the expression in parentheses first. When you do that, you get 10^x.

  (5·2)^x ≡ 10^x

HELP ASAP PLEASE!!!!!
what is the factorization of the polynomial below -x^2-2x+48

Answers

I HOPE IT WILL HELP YOU. I DID HOW I KNOW .

Answer the following (a) find an angle between 0 and 2 that is coterminal with 27/10 (b) find an angle between 0 and 360 That is conterminous with 775

Answers

Answer:

I have no clue sorry my bad bro

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
The difference between the largest and smallest values in a data set is the ______________.
A. mean
B. mode
C. median
D. range

Answers

Answer:

the answer is D. range......

:

:
When you want to find the range its the lowest and the highest number subtracted by each other.

Hope this helps :)

A length on a map is 7.5 inches. The scale is 1inch & 5 miles. What is the actual distance?

Answers

Answer: Actual distance = 37.5 miles

Step-by-step explanation:

Let x be the actual distance

Given information

Length on map = 7.5 inches

Scale = 1 inch : 5 miles

Set up proportion

[tex]\frac{7.5}{x} =\frac{1}{5}[/tex]

Cross multiply to convert out of fraction form

[tex]7.5*5=1*x[/tex]

[tex]\boxed{x=37.5}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

What is the measure of each intercepted arc for each inscribed angle of a regular hexagon inscribed in a circle?

Answers

Answer:

Step-by-step explanation:

The inscribed angles are made up of the remote interior angles of this hexagon, of which each of them measures 120 degrees. That means that if this is measure of the inscribed angle, the arc this angle intercepts is twice the degree measure of the inscribed angle. The arcs then will all measure 240 degrees.

In a lemon cordial drink, water is mixed with lemon juice in the ratio
water : lemon juice = 4:1.
a
What percentage of the cordial drink is lemon juice?
What is the answer

Answers

Answer:

20%

Step-by-step explanation:

Answer:

20%

Step-by-step explanation:

If the ratio of water to lemon juice is 4:1, that means that for every 5 portions of the cordial drink, 4 are water and 1 is lemon juice. In other words, 4/5 of the drink is water and 1/5 is lemon juice. The percentage of the lemon juice would be 1/5 = 20%. The answer is 20%.

A bag contains 2 red marbles, 3 blue marbles, and 4 green marbles. What is the probability of choosing a red marble, and without replacing it, then drawing a blue marble? P(red, blue)​

Answers

Answer:

P(red, blue) = 1/12

Step-by-step explanation:

Need some help in this!!​

Answers

Answer:

Step-by-step explanation:

<AEC = <BED                           Vertically opposite angles are equal.

<A = <B                                     An angle's vertex when touching the same part of the circumference of a circle (on the same side of CD) as another angle with the same endpoints (CD) are equal

CD = DE                                     Given

ΔAEC = ΔBED                            AAS

If n(A) = P and n(B)=q then n(AxB) is (a ) p (b ) q ( c ) p+q ( d ) pq

Answers

By way of example, suppose A = {1, 2, 3} and B = {a, b, c}. Then the Cartesian product of A and B is

A × B = {{1, a}, {1, b}, {1, c}, {2, a}, {2, b}, {2, c}, {3, a}, {3, b}, {3, c}}

That is, each element in A gets a pairing with each element in B, and for each pairing you have n(A) choices for the first element and n(B) choices for the second element.

So if n(A) = p and n(B) = q, then n(A × B) = pq.

Find 3rd and 5th form by using nth term formula tn=a+(n-1)d when tn=a+(n-1)d when a=2 and d=3.​

Answers

Answer:

t3 = 8, t5 = 14

Step-by-step explanation:

t3 = 2 + (3-1) × 3

t3 = 2 + (2) × 3

t3 = 2 + 6

t3 = 8

t5 = 2 + (5-1) × 3

t5 = 2 + (4) × 3

t5 = 2 + 12

t5 = 14

Use the graph below to describe the linearization of the data. How would you expect the linearization to change if the data were to extend beyond age 20?

Answers

Answer:

It is expected that linearization beyond age 20 will be use a function whose slope is monotonously decreasing.

Step-by-step explanation:

The linearization of the data by first order polynomials may be reasonable for the set of values of age between ages from 5 to 15 years, but it is inadequate beyond, since the fourth point, located at [tex](x,y) = (20, 5.5)[/tex], in growing at a lower slope. It is expected that function will be monotonously decreasing and we need to use models alternative to first order polynomials as either second order polynomic models or exponential models.

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