For 12 months,Janenne has belonged to a book-of-the-month-club.Janenne has spent 70.45 on the club.The first month, she payed a monthly fee and spent an additional 10.45 on books.She has only payed the monthly fee since then.What is the initial values of the rate of change of the function

Step-by-step explanation:

We are given 4x+y=6x-1 to graph. The easiest way to graph is to turn this equation into slope-intercept form, which is y=mx+b.

First, we are going to subtract 4x from both sides to isolate the y variable which gets us y=2x-1, and now we have slope-intercept form. Now we're going to use what we know about the form to graph.

In such form, m is the slope and b is the y-intercept. Our b in our equation is -1, so you're going to put a dot at (0,-1) on the y-axis. Then for our slope, it is 2, but it's easier to envision as rise over run where 2 is how much we rise and 1 is how much we run (or move to the right). So from our starting point from the y-axis, we're going to move up 2 units and then to the right one unit. And with two dots on the graph, we can run a line through it which will give us our graphed line.

For safe measures, you can continue the pattern of rising 2 and running 1, or you can go down 2 and left 1, which is the opposite and yet still confines to the line.

If you don't understand this explanation, I also recommend checking out desmos! It's a graphing calculator online in which you can plug this equation in and it graphs it for you! The file I have attached to this is from desmos to help you see the graph, I hope you do well!

To solve this problem we will have to convert 4x + y = 6x - 1 to point - slope form, for simplicity --- ( 1 )

4x + y = 6x - 1,

- 2x + y = - 1,

Point - Slope Form : y = 2x - 1

Now let's graph this equation. Consider the x - intercept and y - intercept of this graph --- ( 2 )

0 = 2x - 1

2x = 1

x = 1 / 2 = 0.5 ( x - intercept ),

y = 2(0) - 1 = 0 - 1 = - 1 ( y - intercept )

We know that the x - intercept is 0.5, so we can plot the point (0, 0.5). Similarly we can plot the point ( - 1,0 ) given the y - intercept is - 1. After plotting these points we can run a line through them, creating our graph.

Answer:

[tex]Number\ of\ bags = 3{\frac{3}{8}[/tex]

Step-by-step explanation:

Given

Size of Flower Pot = 9 cubic-inch

Size of filling bag = [tex]2\frac{2}{3}[/tex] cubic-inch

Required

Determine the number of bags needed to fill the pot

To solve this, we simply divide the volume of the flower pot by the volume of the filling bags;

This is shown as follows:

[tex]Number\ of\ bags = \frac{Volume\ of\ Pot}{Volume\ of\ filling\ bags}[/tex]

Substitute 9 for Volume of Pot and [tex]2\frac{2}{3}[/tex] for Volume of filling bags

[tex]Number\ of\ bags = \frac{9}{2\frac{2}{3}}[/tex]

Convert denominator to improper fraction

[tex]Number\ of\ bags = \frac{9}{\frac{8}{3}}[/tex]

Rewrite Expression

[tex]Number\ of\ bags = 9 / {\frac{8}{3}[/tex]

[tex]Number\ of\ bags = 9 * {\frac{3}{8}[/tex]

[tex]Number\ of\ bags = {\frac{9 * 3}{8}[/tex]

[tex]Number\ of\ bags = {\frac{27}{8}[/tex]

Convert to Mixed Fraction

[tex]Number\ of\ bags = 3{\frac{3}{8}[/tex]

Hence, the number of bags needed to fill the flower pot is [tex]3{\frac{3}{8}[/tex]

The question above is incomplete.

Complete Question

Michael keeps dogs, cows, cats and kangaroos as pets. He has 24 pets in total and 1/8 of them are dogs, 3/4 are not cows and 2/3 are not cats. How many kangaroos does Michael keep?

Answer:

7 kangaroos

Step-by-step explanation:

Total number of pets = 24

Fraction representing total number of pets = 1

Step 1

Number of dogs =

Fraction representing dog = 1/8

1/8 × 24 = 3

He has 3 dogs

Step 2

Number of cows =

From the question, we are told that 3/4 are not cows

Therefore, the number of cows he has =

1 - 3/4 = 1/4

The fraction representing cows = 1/4

Hence the number of cows he has =

1/4 × 24 = 6 cows

Step 3

From the question, we are also told that

2/3 are not cats

The fraction representing the number of cats he has=

1 - 2/3 = 1/3

Therefore, the number of cats he has =

1/3 × 24 = 8 cats.

Step 4

How many kangaroos does Michael keep?

We are asked, how many kangaroos he keeps.

Total numbers of pets = Number of dogs + Number of cows + Number of cats + Number of kangaroos

24 = 3 + 6 + 8 + Number of kangaroos

Number of kangaroos = 24 -(3 + 6 + 8)

= 24 - 17

= 7

Therefore, the number of kangaroos that Michael has is 7 kangaroos

Answer:

Step-by-step explanation:

Let

x= Quantity of donuts

y= Quantity of cupcakes

He bought 3 times as many donuts as cupcakes

Donuts=y= 3x

Donuts=0.50 each

Cupcakes=1.00 each

PxQx + PyQy = 10.00

0.50(x) + 1.00(y) = 10.00

0.50x + 1.00(3x)=10.00

0.50x+3.00x=10.00

3.50x=10.00

Divide both sides by 3.50

x=10.00/3.50

=2.86

y=3x

y=3(2.86)

=8.58

Jamal bought 2.86 donuts and 8.58 cupcakes

Check:

PxQx + PyQy = 10.00

0.50(2.86) + 1.00(8.58) = 10.00

1.43 + 8.58=10.00

10.01=10.00

10.01 approximately 10.00

Answer:

Step-by-step explanation:

10 (x + 50) = 90

Answer:

  A.  x + y = 34; 10x + 15y = 410

Step-by-step explanation:

Jody's total hours will be the sum of the hours spent on each job:

  x + y = 34 . . . . . total hours

Jody's total earnings will be the sum of the earnings from each job:

  10x +15y = 410 . . . total earnings

So, the system of equations is ...

Answer:

see below

Step-by-step explanation:

What is the theoretical probability that the family has two dogs or two cats? (1/2)

The choices are dd, dc, cd, cc

There are 4 choices = dd or cc/ total = 2/4 = 1/2

Let the heads of the coin be dogs and the tails of a coin be cats

Flip two coins and coin A is the first pet and coin B is the second pet

heads , heads = 10

heads, tails  14

tails heads  =13

tails tails =  13

          total 50

Experimental probability  2 dogs or 2 cats = ( hh, tt) /total = ( 10+13) /50 =                    23/50

If we had 3 pets  

what is the theoretical probability that they have three dogs or three cats?

ddd, ddc, dcd, dcc, ccc, ccd ,cdc, cdd

There are 8 options

 ddd or ccc/ total = 2/8 = 1/4

Let the heads of the coin be dogs and the tails of a coin be cats

Flip three coins and coin A is the first pet and coin B is the second pet Coin C be the third pet

Answer:

What is the theoretical probability that the family has two dogs or two cats? (1/2)

Experimental probability  2 dogs or 2 cats = 23/50

If the family has three pets, what is the theoretical probability that they have three dogs or three cats?

1/4=25%

Step-by-step explanation:

Answer: D.

Step-by-step explanation:

Answer:

Answer:

i think it is the control group sorry if i am wrong

Step-by-step explanation:

First box has 15 packets and every packet has 20 toys in it.

Second box has 20 packets and every packet has 15 toys in it.

For the first box, 15 x 20 = 300

For the second box, 20 x 15 = 300 again.

So these two box equal to each other.

Answer:

103°

Step-by-step explanation:

[tex] m\angle DST = m\angle DCS = 80\degree.. (\angle 's \: in\: alternate \: segment) [/tex]

[tex] In\: \triangle DST[/tex]

[tex] m\angle DTS = 180\degree - (60\degree + 80\degree) [/tex]

[tex] m\angle DTS = 180\degree - 140\degree[/tex]

[tex] m\angle DTS = 40\degree[/tex]

[tex] m\angle ETA+m\angle ETD+ m\angle DTS= 180\degree.. (straight \:line \:\angle 's) [/tex]

[tex] m\angle ETA+37\degree + 40\degree = 180\degree[/tex]

[tex] m\angle ETA+77\degree = 180\degree[/tex]

[tex] m\angle ETA = 180\degree-77\degree [/tex]

[tex] m\angle ETA = 103\degree [/tex]

[tex] x = m\angle ETA = 103\degree.(\angle 's \: in\: alternate \: segment) [/tex]

Answer:

Step-by-step explanation:

Since the ratio is 4x:4x:7x, if we add all those numbers up we get 15. Then we do 75/15 to get what x equals. So we get 5. So x equals 5. Following the rules of multiplication, you do 4(5):4(5):7(5), and simplifying that further, you get 20:20:35. If we add all those values up, we should get 75, and we do!

If you're wondering why I did 4x:4x:7x instead of 4:4:7, it's because a ratio is just a...well ratio? It's easier to visualize if you put a variable because the variable could be anything, and you would have to multiply all the given values to get the same proportions. In summery, I did it so it was easier to visualize

Answer: The largest angle is 7x

Step-by-step explanation:

Their sum is 180, so

3x + 5x + 7x = 180

5x = 180 --> x = 12

The largest angle is 7x, which is 7(12) = 84

Answer:

B = 48

Step-by-step explanation:

You are given that the two vertical lines are parallel. That means that the alternate interior angles are  equal (they form a Z shape).

So the given is that A = B

A = 5x - 12

B = 2x + 24

Solution

5x - 12 = 2x + 24

5x - 12 = 2x + 24 + 12

5x = 2x + 36

5x - 2x = 36

3x = 36

x = 36/3

x = 12

================

B is

B = 2x + 24

B = 2*12 + 24

B = 24 + 24

B = 48

Answer:

B=48

Step-by-step explanation:

so angle A and B are on what I call the z-angles which are normally equal in that if you view the parallel lines horizontally you will see the form of a z and the corners of it are equal that said you equate both of them to get x

5x-12=2x+24

join like terms

5x-2x=12+24

3x=36

x=12

so to find angle B substitute x with 12

Answer:

see below (I hope this helps!)

Step-by-step explanation:

The range is simply all the y values of a function. Remember, a closed dot signifies ≤ or ≥ whereas an open dot signifies < or >. We see that the minimum y value is -11, and since it has a closed dot, we can write y ≥ -11. From the graph, the maximum y value is 11 and since it has an open dot, we can write y < 11, therefore, the final answer is -11 ≤ y < 11.

Answer:

Hey there!

10(6x-5)=60x-50

6(2x-3)-5x=12x-5x-18=7x-18

2x(5+4)=18x

-9(8x-5)=-72x+45

5-8(3x+5)-3=5-24x-40-3=-24x-42

Let me know if this helps :)

Answer:

C. multiplication

Step-by-step explanation:

P= ()

E=^

M=x

D=/

A=+

S=-

Answer:

1.

Original square side: s

Area = s^2

Modified square:

Length = 1.3s

Width = 0.82s

Area = 1.3s * 0.82s = 1.066s^2

(1.066 - 1)/1 * 100% = 6.6%

The area increases by 6.6%

2.

[tex] \dfrac{1}{x} + \dfrac{1}{y} = \dfrac{2}{15} [/tex]

[tex] \dfrac{y}{xy} + \dfrac{x}{xy} = \dfrac{2}{15} [/tex]

[tex] \dfrac{x + y}{xy} = \dfrac{2}{15} [/tex]

[tex] x + y = \dfrac{2xy}{15} [/tex]

[tex] \dfrac{7y + 5xy + 7x}{y + x + 2xy} = [/tex]

[tex] = \dfrac{7x + 7y + 5xy}{x + y + 2xy} [/tex]

[tex] = \dfrac{7(x + y) + 5xy}{x + y + 2xy} [/tex]

[tex] = \dfrac{7(\frac{2xy}{15}) + 5xy}{\dfrac{2xy}{15} + 2xy} [/tex]

[tex] = \dfrac{15}{15} \times \dfrac{7(\frac{2xy}{15}) + 5xy}{\dfrac{2xy}{15} + 2xy} [/tex]

[tex] =  \dfrac{14xy + 75xy}{2xy + 30xy} [/tex]

[tex] =  \dfrac{89xy}{32xy} [/tex]

[tex] =  \dfrac{89}{32} [/tex]

3.

[tex] \dfrac{x - 3}{x^3 + 3x} = \dfrac{A}{x} + \dfrac{Bx + C}{x^2 + 3} [/tex]

[tex] = \dfrac{A(x^2 + 3)}{x(x^2 + 3)} + \dfrac{(Bx + C)x}{(x^2 + 3)x} [/tex]

[tex] = \dfrac{Ax^2 + 3A}{x(x^2 + 3)} + \dfrac{Bx^2 + Cx}{(x^2 + 3)x} [/tex]

[tex] = \dfrac{Ax^2 + 3A + Bx^2 + Cx}{x(x^2 + 3)} [/tex]

[tex] \dfrac{x - 3}{x^3 + 3x} =\dfrac{(A + B)x^2 + Cx + 3A}{x(x^2 + 3)} [/tex]

[tex] A + B = 0 [/tex]

[tex] C = 1 [/tex]

[tex] 3A = -3 [/tex]

[tex] A = -1 [/tex]

[tex] -1 + B = 0 [/tex]

[tex] B = 1 [/tex]

[tex] A + B + C = -1 + 1 + 1 = 1 [/tex]

Jessica has 5 cupcake cases left.

First, divide 50 into groups of five. Next, subtract two groups of five from 50. Third, divide the remaining cases into groups of six. Finally, subtract 5 groups of six from the remains from the last subtraction equation.

The number of cupcake cases that Janissa has left will be 5.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Janissa bought 50 cupcake cases for baking.

She used 2/5 of the cases to bake vanilla cupcakes. Then the number of vanilla cupcakes will be

⇒ 50 x 2 / 5

⇒ 20 vanilla cupcakes

Then the remaining cupcake cases will be

⇒ 50 - 20

⇒ 30 cupcake cases

She then used 5/6 of the remaining cases to bake chocolate cupcakes. Then the number of chocolate cupcakes will be

⇒ 30 x 5 / 6

⇒ 25 chocolate cupcakes

Then the remaining cupcake cases will be

⇒ 30 - 25

⇒ 5 cupcake cases

Then the number of cupcake cases that Janissa has left will be 5.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

Answer:

Width = 4 m

Length = 7 m

Step-by-step explanation:

given:

perimeter of a rectangle = 22m

L = 3 + W

perimeter = 2L + 2W

perimeter = 2 (3 + W) + 2W

22 = 6 + 2W + 2W

22 - 6 = 4W

W = 16 / 4

W = 4 m

L = 3 + W

L = 3 + 4

L = 7 m

check:

perimeter = 2L + 2W

22 = 2(7) + 2(4)

22 = 14 + 8

22 = 22  ---- OK

Answer:

Kindly check explanation

Step-by-step explanation:

28,136,720

Word form: Twenty eight Million, One hundred and thirty-six thousand, seven hundred and twenty

Expanded form: (2 * 10,000,000) + (8 * 1,000,000) + (1 * 100,000) + (3 * 10,000) + (6 * 1000) + (7 * 100) + (2 * 10) + (0 * 1)

2.) 67, 564, 312

Sixty seven million, five hundred and sixty four thousand, three hundred and twelve

(6 * 10,000,000) + (7 * 1,000,000) + (5 *100,000) + (6 * 10,000) + ( 4 *1000) + (3* 100) + (1 * 10) + (2 * 1)

3.) 534, 235, 260

Five hundred and thirty four million, two hundred and thirty five thousand, two hundred and sixty.

(5 * 100,000,000) + ( 3 * 10,000,000) + (4 * 1,000,000) + (2 * 100,000) + ( 3 * 10,000) + (5 * 1,000) + (2 * 100) + (6 * 10) + (0 * 1)

4.) 43, 780, 523

Fourty three million, seven hundred and eighty thousand, five hundred and twenty three.

(4 * 10,000,000) + (3 * 1,000,000) + (7 * 100,000) + (8 * 10,000) + (0 * 1000) + (5 * 100) + (2 * 10) + (3 * 1)

5.) 456,156, 156

Four hundred and fifty six million, one hundred and fifty six thousand, one hundred and fifty six

(4 * 100,000,000) + (5 * 10,000,000) + (6 * 1,000,000) + (1 * 100,000) + ( 5 * 10,000) + ( 6 * 1000) + (1 * 100) + ( 5 * 10) + (6 * 1)

Evaluate -6 - (-2):

Your answer is -4

In this case all you had to do was subtract -2 from -6 and your answer is -4

(。・ω・。)

Answer:

A car travels 20km in 15 minutes, what is the average speed that the car travelled at?

the average speed that the car travelled at is 80km per hour

Step-by-step explanation:

Answer:

1. A bus travels 16km in 4 mins. The total time is 4 minutes.

2. A speeding car traveling at 40 km/hr decides to slow down to 30 km/hr after covering half the distance. The total distance the car travels is 34.29 km/h.

3.  A truck goes from Haryana to Bangalore with an average speed of 60 km/hr. The journey takes 30 hours. It returns from Bangalore to Haryana on the same road with an average speed of 40 km/hr. The average speed of the truck during the road trip is 48 km/hr.

Answer:

m<x = 48

m<y = 132

Step-by-step explanation:

Since x and y are supplementary angles, that means their sum is 180 degrees.

And we are given that y is 12 less than 3 times the measure of x.  With this information we can make a system of linear equations.

x + y = 180

y = 3x - 12

So now plug in the value of y into the first equation.

x + y = 180

x + (3x - 12) = 180

x + 3x = 192

4x = 192

x = 48

And then plug this computed value of x back into the first equation to find the measure of y.

x + y = 180

48 + y = 180

y = 180 - 48

y = 132

So the measures of the angles are as follows:

m<x = 48

m<y = 132

Cheers.

Answer:

[tex]4x - 2x = 9 + 3[/tex]

[tex]2x = 12[/tex]

[tex]x = \frac{12}{2} [/tex]

[tex]x = 6[/tex]

Hope it helps u mate

x = 6

4x - 3 = 2x + 9

4x - 2x = 9 + 3

2x = 12

x = 12 : 2

x = 6

Answer:

Step-by-step explanation:

15 x^2 - 9 + 4 x - 5 x^2 - 11

by grouping the like terms,

15 x^2 - 5 x^2 + 4x - 9 - 11

10 x^2 + 4x - 20

Hope this helps

plz mark as brainliest!!!!!!

Answer:

10x^2+4x-20

Step-by-step explanation:

Subtarct 5x^2 from 15x^2

Subtract 11 from -9

Step-by-step explanation:

Let the number with two decimal places be 1.23

Let the number with one decimal place be 4.5

Then 1.23 multiplied by 4.5

= 1.23 × 4.5

= 5.535

The result has more than two nonzero digits.

Note: When you multiply two decimal numbers, the decimal place(s) of the result is the addition of the decimal places of each of the numbers being multiplied.