Function Q: y =1/3x + 2 Identify function Q as linear or nonlinear. State a reason why it is linear or nonlinear.

Answers

Answer 1

Answer:

A linear function is written in slope-intercept form as:

y = a*x + b

Where a is the slope and b is the y-intercept.

So any function of this shape, is a linear function, such that when graphed it is a straight line.

In this case, the function you wrote is:

Q: y = 1/3x + 2

Now, if the function is exactly what you wrote, then x is in the denominator:

y = 1/(3*x) + 2

Clearly, this is different than the general linear equation you can see above (here the variable is in the denominator) then in this case Q is non-linear.

If instead, the actual function Q is:

Q: y = (1/3)*x + 2

Then this is a linear equation, where the slope is 1/3 and the y-intercept is 2.


Related Questions

I NEED HELP PLEASE !!

Answers

Answer:14=x

Step-by-step explanation:

What is the perimeter of triangle XYZ?

Answers

Answer:

126

Step-by-step explanation:

Factor x2 – 19x – 20 completely.

Answers

Answer:

Step-by-step explanation:

x^2-19x-20

=x^2-(20-1)x-20

=x^2-20x+x-20

=x(x-20)+1(x-20)

=(x-20)(x+1)

Please Help me need help

Answers

Answer:

-1 * (x/y)

Step-by-step explanation:

-x/y = x /-y

Factor out the negative

-(x/y) = -(x/y)

This is equal to -1 * (x/y)

I need help with this problem. please help.

Answers

Answer:

B

Step-by-step explanation:

What is the equation of the line that has a slope of -2 and passes through the point (-1, 2)?

Answers

Answer:

[tex]{ \bf{y = mx + c}} \\ 2 = ( - 2 \times - 1) + c \\ c = 0 \\ \\ { \boxed{ \bf{y = - 2x}}}[/tex]

Answer:

y = -2x

Step-by-step explanation:

The equation of a line in slope intercept form

y = mx+b  where m is the slope and b is the y intercept

y = -2x +b

Using the point

2 = -2(-1)+b

2 = 2+b

Add -2 to each side

2-2 =b

0=b

y = -2x+0

y = -2x

-2(5x+8)=14+6x step by step

Answers

Answer:

x=-15/8

Step-by-step explanation:

Hi there!

We're given the equation -2(5x+8)=14+6x and we need to find the value of x

we do this by isolating the variable so that x is on one side, and everything else is on the other

First, we need to do the distributive property on the left, as the -2 is factored out of 5x+8 and it makes solving for x harder

-2(5x+8)=14+6x

multiply both 5x and 8 by -2

-10x-16=14+6x

add 16 to both sides to clear it from the left side (-16+16=0)

-10x-16=14+6x

      +16 +16

_____________

-10x=30+6x

subtract 6x from both sides (6x-6x=0)

-10x=30+6x

-6x         -6x

_____________

-16x=30

now, we do have x by itself, but we have -16 attached to it; we need the value of 1x, or x without any coefficient in the front of it

divide both sides by -16

x=30/-16

simplify (divide both sides by -2)

x=-15/8

we can leave it as an improper fraction

Hope this helps! :)

Answer:

x = 15 / 8

Step-by-step explanation:

−2(5x+8) = 14 + 6x

Simplify both sides of the equation.

−2(5x+8) = 14 +6x

(−2)(5x) + (−2)(8) = 14 +6x (Distribute)

−10x +−16 = 14 +6x

−10x −16 = 6x +14

Subtract 6x from both sides.

−10x −16 −6x = 6x + 14 −6x

−16x −16 = 14

Add 16 to both sides.

−16x −16 +16 = 14 + 16

−16x=30

Divide both sides by -16.

-16 x / - 16 = 30/-16

Simplify ( divide RHS side by - 2 )

x = 15 / 8

can someone help me pls

answer chocices
a.80

b.180

c.100
d.90

Answers

Answer:

<1= 100°

Step-by-step explanation:

<1=<5 Corresponding angles are equal

To find <5

180-80=100

Therefore <1=100

Can anyone help with Qs 22-25 pls !!
Or the ones you can do

Answers

Answer:

24 is C and 25 is B , ill try and do the other questions if u need me to explain 24 and 25 lmk!

Suppose a normal distribution has a mean of 48 abd a standard deviation of 5. What is the probability that a data value is between 48 and 52?

Answers

Answer:

P(48<x<52) = 0.2881

Step-by-step explanation:

P(48<x<52) = normalcdf(lower,upper,µ,σ) = normalcdf(48,52,48,5) ≈ 0.2881

Therefore, the probability that a data value is between 48 and 52 is 0.2881, or about a 28.81% chance of occurrence.

A newspaper conducted a survey to find out how many high school students play video games. The two-way table below displays the data from the survey. Based on these data in the table, which statement is true? A. There were 2,451 boys surveyed and about 29% of them play video games. B. There were 2,996 girls surveyed, and about 45% of them play video games. C. There were 5,447 students surveyed, and about 54% of them do not play video games. D. There were 2,493 students surveyed, and about 34% of them are girl who do not play video games.

Answers

Answer:

c

Step-by-step explanation:

Match the corresponding sides.

Answers

DC corresponds to PO and AB corresponds to MN hope this helps!! :)
Explanation: they correspond to each other because they are the same model just a scaled down version of each other.

Solve the problem.

A teacher is going to assign each student a 3-digit code using the digits 0 through 4. How many codes are possible if no repetitions are allowed?
A.) 60
B.) 125
C.) 24
D.) 64

Answers

Answer:

24 codes are possible

Step-by-step explanation:

0 through 4 means we are to select from 0,1, 2 , and 4

That’s a total of 4

The first number has 4 choices, the second 3, the 3rd two and the last 1

The product of the choices are;

4 * 3 * 2 * 1 = 24 codes

What is the gradient of the blue line?

Answers

The slope or gradient of the blue line from the given graph is -3.3.

The equation of line is shown in the graph.

What is slope or gradient of a line?

The slope or gradient of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The formula to find the slope of a line is slope or gradient = Rise/Run

From the given graph, the gradient of a line is

Slope = rise/run

= -4/1.2

= -3.3

Hence, the slope or gradient of the blue line from the given graph is -3.3.

To learn more about the slope of a line visit:

https://brainly.com/question/14511992.

#SPJ1

Evaluate the value of x to 1 d.p


Thank you

Answers

Answer:

value of x = 2.8

Step-by-step explanation:

By law of cosines,

[tex] {a}^{2} = {b}^{2} + {c}^{2} - 2 \times b \times c \times cos(100) \\ {x}^{2} = {13}^{2} + {10}^{2} - (2 \times 13 \times 10 \times cos100) \\ = 169 + 100 - 260 \times 0.862 \\ = 269 - 260 \times 0.862 \\ = 7.758 \\x = \sqrt{7.758 } \\ = 2.785 \\ = approx \: 2.8[/tex]

need help on this please giving brainlest! :)​

Answers

A is 9,4 B is -9,4 all you do is flip the sign according to the axis

4n + 2 = 6 (1/3n-2/3)
N=???

l give brainiest

Answers

Answer:

N= -3

Step-by-step explanation:

4n+2 = 6(1/3n - 2/3)

4n+2 = 2n - 4

2n +2 = -4

2n = -6

n = -3

Answer:

- 3

Step-by-step explanation:

4n + 2 = 6 ( 1 / 3 n - 2 / 3 )

Divide 2 on both sides,

2n + 1 = 3 ( 1 / 3 n - 2 / 3 )

2n + 1 = 3n / 3 - 6 /3

2n + 1 = n - 2

2n - n = - 2 - 1

n = - 3

the interest for 3 years on Rs2400is Rs576 find the interest on Rs 4200 for 2 yrs at the same rate of interest​

Answers

Answer:

Solution given:

time [t]=3years

principal [p]=Rs2400

rate[r]=?

simple interest [S.I]=Rs 576

we have

S.I=ptr/100

576=2400*3*r/100

576=72r

r=576/72

r=8%

now

principal [p]=Rs 4200

time[t]=2years

rate[r]=8%

simple interest [S.I]=?

we have

S.I= ptr/100=4200*2*8/100=Rs 672

The required interest is Rs 672.

please help!! i have no clue what to do and this packet is due tonight.

Answers

Answer:

[D] ∞

General Formulas and Concepts:

Calculus

Limits

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle \lim_{n \to \infty} s(n)[/tex]

[tex]\displaystyle s(n) = (\frac{5}{4n^4})(3n^5 + 3n^4 + 2n^3 + n^2)[/tex]

Step 2: Evaluate

Substitute in function [Limit]:                                                                           [tex]\displaystyle \lim_{n \to \infty} (\frac{5}{4n^4})(3n^5 + 3n^4 + 2n^3 + n^2)[/tex]Multiply:                                                                                                             [tex]\displaystyle \lim_{n \to \infty} \frac{5(3n^5 + 3n^4 + 2n^3 + n^2)}{4n^4}[/tex]Power Method:                                                                                                 [tex]\displaystyle \lim_{n \to \infty} \frac{5(3n^5 + 3n^4 + 2n^3 + n^2)}{4n^4} = \infty[/tex]

Since the degree of the polynomial is greater in the numerator than in the denominator, the top will always increase faster than the bottom, thus getting infinitely larger.

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Limits

Book: College Calculus 10e

With a 20% discount, Ella was able to save $40 on a dress. What was the original price of the dress?

Answers

The original price of the dress was $200. This is because 20% of 200 is $40 which was the price after the discount.
Hope this helps :>

8. Which of the following is not a true statement?

A) 33.326 > 33.316
B) 24.10009 < 24.11
C) 34.32 = 34.3200000
D) 27.4200 > 27.42

Answers

Answer:

Answe is D

Step-by-step explanation:

The zero doesn't mean any sense when it comes to decimal..

Answer:

i think its D

Step-by-step explanation:

27.42000 > 27.42000 is wrong because they're equal.

correct answer:

27.42000 = 27.42000

hope this helps!

find the ratio of the perimeter of two similar trapezoids with area 49cm^2 and 9cm^2

Answers

Answer:

3260 is the ratio of two similar trapizoids

Answer:

7:3

Step-by-step explanation:

(Ratio of perimeter)^2 = ratio of area.

Therefore

ratio of perimeter = sqrt(ratio of area) = sqrt(49/9) = 7/3

Estimate 16.26+4.169 by first rounding each number to the nearest tenth.

Answers

Answer:

16.3 + 4.2 = 20.5 (20.5 has not been rounded)

Step-by-step explanation:

I just rounded both numbers to the nearest tenth, it should be accurate. I hope I helped :)

16.26
+ 4.269
_______
20.529

=20.5
or you can do
16.26=16.3 when round
4.169=4.2 when rounded
add the new rounded numbers
16.3+4.2=20.5

key note: when rounding if the number is 5 or greater than 5 you add one the the numbers place you are rounding to.

What is the sum of the pink and green area?

Answers

Answer:

I think the answer is 11x

Answer:

11x

Step-by-step explanation:

Pink area  = 6x

Green area  = 5x

Total (sum) = 6x+5x =11x

2 birds are building a nest. Bird A is flying toward the nest at the same time bird B is flying away from it

Answers

Answer:

Step-by-step explanation:

is it that 1 bird is at the nest and the other is flying away ?

Heres another simple question!

The ordered pairs (t,36),(5,45) represent a proportional relationship. Find the value of t.

possibilities : 4,5,9,40

Answers

Answer:

4? ..... t = 4

5 × 9 = 45

4 × 9 = 36

Identify the range of the function shown in the graph.
A.y>=0
B.y<0
C.Y is all numbers
D.0 Which one is it?

Answers

B. I believe I just wanna get some points

Answer:

B

Step-by-step explanation:

The profit from a business is described by the function P(x) = -x^2 + 10x - 4, where x is the number of items made, in thousands, and P(x) is the
profit in dollars. How many items will maximize the profit?

A 5,000
B. 10,000
C. 20,000
D. 50,000

Answers

B is what it was for real life is a little more expensive but it

Therefore, 5000 items can maximize the profit

The correct answer is an option (a)

What is Profit ?

The money that you make when you sell something for more than it cost you.

For given example,

profit is described by the equation :

[tex]P (x) = -x^2 + 10x -4[/tex]

We need to maximize the profit P(x)

[tex]\Rightarrow \frac{d}{dx}P(x)=0\\\\\Rightarrow \frac{d}{dx}( -x^2 + 10x -4 ) =0\\\\\Rightarrow -2x+10=0\\\\\Rightarrow -2x=-10\\\\\Rightarrow x=5[/tex]

since , x is the number of items made in thousand

Therefore, 5000 items can maximize the profit

The correct answer is an option (a)

Learn more about profit :

https://brainly.com/question/11470255

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Solve the trigonometric equation for all values 0 ≤ x < 2π.
2sin^2 x-1 = 0




Answers

not really sure but hope this helps

what is the binary 101*11​

Answers

Answer:

Answer Of this question is 1000

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