The ordered pairs (1, 6), (2, 12), (3, 18), (4, 24), and (5, 30) represent a function. What is a rule that represents this function? (1 point)
y = 6x
y = (x + 6)2
y = x6
y = 6x

Is the relationship a function that is increasing or decreasing? Is the relationship a function that is linear or non linear?

Number of College Courses Time spent on homework

1 3

2 6

3 8

4 12
increasing; linear
increasing; non linear
decreasing; linear
decreasing; non linear

Answer:

(0) no solutions.

Step-by-step explanation:

You are given two inequalities:

[tex]y>3x+9,\\ \\y<3x-1.[/tex]

The signs of both inequalities are > and < (without notion "or equal to"), then the boundary lines should be dotted lines. Each of these dotted lines divides the coordinate plane into two parts. You have to determine which of these parts you have to choose.

Substitute the coordinates of the origin (0,0) into these inequalities:

[tex]0>3\cdot 0+9\Rightarrow 0>9,\\ \\0<3\cdot 0-1\Rightarrow 0<-1.[/tex]

Both results are false inequalities, this means that origin doesn't belong to the shaded region. So you have to choose those parts, that do not contain origin (see attached diagram).

As you can see, shaded regions do not intersect (because lines y=3x+9 and y=3x-1 are parallel), so the system has no solutions.

Answer:

no solution

Step-by-step explanation:

Answer:

Exact Form:

9√2

Decimal Form:

12.72792206

Step-by-step explanation:

Simplify expression

Answer:

[tex]9\sqrt{2}[/tex]

Step-by-step explanation:

sqrt 8+ 3 sqrt2 +sqrt 32

[tex]\sqrt{8} +3\sqrt{2} +\sqrt{32}[/tex]

Simplify each square root

[tex]\sqrt{8}=\sqrt{2*2*2}=2\sqrt{2}[/tex]

[tex]\sqrt{32}=\sqrt{4*4*2}=4\sqrt{2}[/tex]

Given expression becomes

[tex]2\sqrt{2} +3\sqrt{2} +4\sqrt{2}[/tex]

All are like terms so we add it

[tex]9\sqrt{2}[/tex]

Hi There!

Answer:

30 quaters.

15 dimes.

Step-by-step explanation:

Quarter = $0.25

Dime = $0.10

Quarters: 0.25 * 30 = $7.50

Dimes: 0.10 * 15 = $1.50

Check: 7.50 + 1.50 = $9

Hope This Helps :)

Answer: a) , where 'A' is the value of car after 't' years.

b) $12446.784

Step-by-step explanation:

Given: A new car that sells for $21,000 depreciates (decreases in value) 16% each year.

Then a function that models the value of the car will be

, where 'P' is the selling price of car, 'r' is the rate of depreciation in decimal, 't' is the time in years and 'A' is the value of car after 't' years.

Thus after substituting given value, the function becomes

To find the value after 3 years, substitute t=3 in the above function.

Hence the value of car after 3 years=$12446.784

The value of a car such as the 2017 Honda Civic decreases approximately 7% per year after manufacture. This is an example of exponential decay. After the first year, the car's value would be close to $18,172.

The value of a car declining annually after its manufacture is an example of exponential decay in mathematics. In the case of the 2017 Honda Civic costing $19,540, the value decreases by approximately 7% each year. To calculate this, we can use the formula for exponential decay which is A = P(1 - r), where A is the final amount, P is the initial amount (price of the car), r is the rate of decrease (in decimal form), and n is the number of time periods (years in this case).

Now, if you want the value of the car after its first year, replace P with $19,540, r with 0.07, and n with 1. When calculating this, you should get a value close to $18,172, which is the approximate value of the car one year after it was manufactured.

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Answer:

50

Step-by-step explanation:

The sum of 2 and 8 is 10. 10 times 5 is 50

Answer:

50

Step-by-step explanation:

10 times 5 is 50

Answer:

C is the correct answer.

Answer:

Both populations -Apex

Step-by-step explanation:

To solve this, simply divide 8 into 3

8/3=2 2/3

Each person gets 2 2/3 pounds of trail mix.

Answer: 3/8 or 0.375 trail mix is in each bag.

Step-by-step explanation: April has 3 pounds of trail mix. If there are 8 bags, we can divide 3 by 8 to give us how much trail mix is in each bag.

Answer:

x > 32

Step-by-step explanation:

x/8 > 4       Multiply both sides by 8

  x > 32

Answer:

To make the figures smaller, scale factor must be divided.  

Step-by-step explanation:

1) Firstly, consider a pentagon ABCDE, if we take the scale factor 1\3, the dilations will be smaller.

As distance between A and B = 6

after dilation, distance between A' and B' = 2

Similarly continuing for each side, we get the figure smaller A'B'C'D'E' which is smaller than the original figure.

2) Secondly, consider a hexagon ABCDEF, if we take scale factor 1\2, the dilated figure will be smaller.

A s distance between A and B = 4

After dilations, distance between A' and B' = 2

Similarly continuing for each side, we get the figure A'B'C'D'E'F' which is smaller than the original figure.

Final answer:

Two scale factors that make figures smaller, according to Ms. Hussain's claim, are 2 inches to 8 feet (1/48) and 6 inches to 48 feet (1/96), as they are both less than one and would result in smaller dilated figures.

Explanation:

To support Ms. Hussain's claim that some dilations make figures smaller, we look for scale factors that are less than one because these scale factors reduce the size of the original figure. When reviewing the scale factors presented:

The scale factors that make the figures smaller are 2 inches to 8 feet (which simplifies to 1/48) and 6 inches to 48 feet (which simplifies to 1/96), since both are less than 1. The original figures are 48 times and 96 times larger than their dilated figures, respectively. Both of these would result in a decrease in size when the original figures are dilated using these factors.

Answer:

y^3/(27 x^3)

Step-by-step explanation:

Simplify the following:

((3 x)/y)^(-3)

((3 x)/y)^(-3) = (y/(3 x))^3:

(y/(3 x))^3

Multiply each exponent in y/(3 x) by 3:

(y^3)/((3 x)^3)

Multiply each exponent in 3 x by 3:

y^3/(3^3 x^3)

3^3 = 3×3^2:

y^3/(3×3^2 x^3)

3^2 = 9:

y^3/(3×9 x^3)

3×9 = 27:

Answer:  y^3/(27 x^3)

Answer:

-3 <= x <=8

Step-by-step explanation:

-16 -3|2x-5| >= -49

The first step is to get the absolute value alone.   We need to add 16 to each side.

-16+16 -3|2x-5| >= -49+16

-3|2x-5| >= -33

Now divide each side by -3.  This will flip the inequality.

(-3/-3)|2x-5| =< -33/-3

|2x-5| =< 11

This is where we can separate the absolute value inequality into 2 pieces, one positive and one negative.  Remember to flip the inequality symbol when we take the negative inequality.

2x-5 <=11    and 2x-5>=-11

Add 5 to each side.

2x-5+5 <=11+5    and 2x-5+5>=-11+5

2x<=16                 and  2x>=-6

Divide by 2 on each side.

2x/2<=16/2                 and  2x/2>=-6/2

x <=8        and   x >=-3

Rewrite as a compound inequality

-3 <= x <=8

Answer:

Net pay = $695

Step-by-step explanation:

To find her net pay, we take the gross pay and minus the deductions

Net pay = 750 - 31 - 10 - 14

Net pay = 695

Answer: 1) A. 41% (2)B. 0.15

(3) C. 560%

Step-by-step explanation:

In question 1, all you need to do is to count the number of shaded box, and tho total boxes are 100, so number of shaded box/100

=41/100 = 41%

In question (2)

15/100,whenever you shift a decimal to the left hand side the zero will go away, so shiftingit twice to the left handside,the two zeros will go away, so you will have 0.15

In question3

5.6 to percentage,

Simply multiply by 100/100

5.6 ×100/100 = 560/100 =560%

Answer:

6 is the closest whole number

Step-by-step explanation:

Answer: 6

Step-by-step explanation: If the first digit in 6.19 is less than 5 then we simply remove the decimal after the whole number (0.19 in this case) to get the answer.  If the first digit in 6.19 is 5 or above, then we add 1 to the whole number (6 in this case) and remove the decimal after the whole number (0.19 in this case) to get the answer.

I hope that helped! Good luck, fam! :D

- Une

[tex]-6x+12y=24\\\\x-intercept\ for\ y=0:\\\\-6x+12(0)=24\\-6x=24\qquad\text{divide both sides by (-6)}\\\boxed{x=-4}\to(-4,\ 0)\\\\y-intercept\ for\ x=0:\\\\-6(0)+12y=24\\12y=24\qquad\text{divide both sides by 12}\\\boxed{y=2}\to(0;\ 2)[/tex]

Answer: The question is saying to write an equation in slope form: y=mx+b

M=1/4 and b=-3/4

It is the first answer: y=1/4x-3/4

Answer:

3/7 and 4/17

Step-by-step explanation:

a) given that Shen is playing a game and the probability of unlocking the treasure test is 3/10.

To find the odds in favour of his character unlocking the treasure chest.

Since probability = 3/10 we have favourable and total are in the ratio 3:10

i.e. favourable:Favourable+unfavourable= 3:3+7

Hene odds= favourable:unfavourable =3/7

Answer is 3/7

b) Given that odds against choosing a blue block are 13/4

This means there are 4 blue blocks and 13 other colour blocks.

Total blocks= 13+4 =17

No of blue blocks = 4

Probability of selecting blue block=4/17

Answer:

10 2/15 hours

Step-by-step explanation:

If we have a candle that is 11 2/5 inches tall

It burns 1 1/8 inches per hour.  We need to divide to see how long the candle will last

11 2/5 ÷ 1 1/8

I will convert the mixed numbers to improper fractions

11 2/5 = (5*11+2)/5 = 57/5

1 1/8 = (8*1+1)/8 = 9/8

57/5 ÷ 9/8

Copy dot flip

57/5 * 8/9

456/45

Now we change it back to a mixed number

45 goes into 456  10 times with 6 left over

10 6/45

This simplifies to 10 2/15

Answer:

The Answer is 2.25

Answer:

2.375    PLEASE GIVE BRAINLIEST

Step-by-step explanation:

2  3/8 = 2.375

divide 3 by 8 and you will get the .375

The whole number of 2 will be to the left of the decimal to represent a whole number.

Da answer should be A. 40 feet hope it's da right answer

Answer:

The answer is 150

Step-by-step explanation:

It's 150 because ye evening sales are three times of his afternoon sales.

SO that means you have to times 50x3=150 or you can add 50+50+50=150. there is your answer.

Answer:

150

the answer is 150 need points for a challenge

Answer:

Step-by-step explanation:

-6 is your (y) while -x is your (x), for -x turn that to (-1/1) which is down 1 and right 1. That's your answer

y-intercept:  (0,4)

x-intercept: (8,0)

Y-intercept:

I made x=0

[tex]0+2y=8\\[/tex]

divide by 2 on both sides

[tex]y=4[/tex]

x-intercept

I made y=0

[tex]x+2(0)=8\\x=8[/tex]

Answer:

$.02 per ounce

Step-by-step explanation:

To find the cost per ounce, we take the cost and divide by the ounces

Brand A

$1.28 / 8

$.16 per ounce

Brand B

$1.68/12

$.14 per ounce

To find the difference, we subtract the smaller from the larger

$.16 -$.14

$.02 per ounce

Answer:

oof

Step-by-step explanation:

Answer:

Graph 2.

Step-by-step explanation:

When you replace x with x - h, the functions shifts horizontally h units.

Here you are replacing x with x + 4. To write x + 4 in the x - h form, you must write x - (-4) making h = -4. f(x + 4) has a shift of -4 units, or 4 units to the left, compared to f(x).

The function f(x) = x^3 included point (0, 0). It goes up to the right of (0, 0), and down tot eh left of (0, 0).

The answer is graph 2. which shows a shift of 4 units to the left compared with the graph of f(x) = x^3.

Answer:

1. Use this form V = πr²h to obtain around π(4)² * 5 ≈ 251.3 m³  

2. Multiply all the lengths of the sides to obtain this volume 42 in³  

3. Multiply all the lengths of the sides and divide that by 2 to obtain 154 cm³  

Try the rest of the problems by yourself... Remember that:  

V = Ah where A is the area of the base.  

Step-by-step explanation:

Question :-

Answer :-

[tex] \rule{180pt}{4pt}[/tex]

Diagram :-

[tex]\setlength{\unitlength}{1mm}\begin{picture}(5,5)\thicklines\multiput(-0.5,-1)(26,0){2}{\line(0,1){40}}\multiput(12.5,-1)(0,3.2){13}{\line(0,1){1.6}}\multiput(12.5,-1)(0,40){2}{\multiput(0,0)(2,0){7}{\line(1,0){1}}}\multiput(0,0)(0,40){2}{\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\multiput(18,2)(0,32){2}{\sf{4 \: m}}\put(9,17.5){\sf{5 \: m}}\end{picture}[/tex]

Solution :-

As per provided information in the given question, we have been given that the Radius of a cylinder is 4 meters. The height of a cylinder is 5 meters. We have been asked to find the volume of a cylinder.

To calculate the volume of a cylinder, we will apply the formula below :-

[tex] \bigstar \: \: \: \boxed{ \sf{ \: \: Volume_{(Cylinder)} = \pi r^2 h \: \: }}[/tex]

Substitute the given values into the above formula and solve for Volume :-

[tex]\sf:\implies Volume_{(Cylinder)} = \pi r^2 h[/tex]

[tex]\sf:\implies Volume_{(Cylinder)} = (3.14)(4 \: m)^2(5 \: m)[/tex]

[tex]\sf:\implies Volume_{(Cylinder)} = (3.14)(16 \:m^2)(5 \: m)[/tex]

[tex]\sf:\implies Volume_{(Cylinder)} = (50.24 \:m^2)(5 \:m)[/tex]

[tex]\sf:\implies\bold{Volume_{(Cylinder)} = 251.2 \: m^3}[/tex]

Therefore :-

[tex]\\[/tex]

Learn more about the Volume of a Cylinder at https://brainly.com/question/15197979

Have a great day! <33

Answer: 90%

Step-by-step explanation:

Step 1: You would get the greater value (50) and the lower value (26). You would subtract those numbers.

Step 2: You would get 24 when you subtract those numbers. Divide that number by 26.

Step 3: This is optional. You can simply those numbers to make it easier to divide.

Step 4: Divide

Step 5: You would get 0.9230769

Step 6: Move the decimal point 2 times to the right. So you would get 92%

Answer:

The answer is 585

Step-by-step explanation:

I took the k12 test the answer above is correct

Answer:

They are all 180 degrees

70+30=100

180-100=

Ans:80 Degrees

Step-by-step explanation: