draw a graph of 2x - 3y = 6​

Answer:

y=3x - 1

Step-by-step explanation:

we are going to base the answer off of the y=mx+b form where m represents slope and b represents the y-intercept.

we know that b must be -1 because the line hits the y-axis when y is -1

this now leaves us with either the first or second choice

we then choose two points to find the slope. I am using (0,-1) and (1,2). If you count the boxes, the y-value increases by 3 as the x-value increases by 1. So the slope is 3/1 or 3.

so then we know the answer is y=3x-1

hope this helps

Answer:

So the amplitude is 7

The period is pi

The phase shift is negative pi/2

The midline is -3

Step-by-step explanation:

A trigonometric function is the same as

[tex]f(x) = a \cos(b(x + c)) - d[/tex]

Where a is the amplitude, 2 pi/ absolute value of b is the period, c is the phase shift, and d is the vertical shift or midline.

Given the function

[tex]7 \cos(2x + \pi) - 3[/tex]

The amplitude is 7, and the midline is -3. The period is

[tex] \frac{2\pi}{2} = \pi[/tex]

The phase shift is

[tex]2x + \pi = 0[/tex]

[tex]2x = - \pi[/tex]

[tex]x = - \frac{\pi}{2} [/tex]

So the amplitude is 7

The period is pi

The phase shift is negative pi/2

The midline is -3.

Answer:

2/3

Step-by-step explanation:

I am not sure

Answer:

Step-by-step explanation:

[tex]Let \:the \: unknown \: fraction \: be \: x\\\\\frac{5}{3} -x = 1\\\\\frac{5}{3}-x=1\\\\\mathrm{Subtract\:}\frac{5}{3}\mathrm{\:from\:both\:sides}\\\\\frac{5}{3}-x-\frac{5}{3}=1-\frac{5}{3}\\\\\frac{5}{3}-x-\frac{5}{3}=-x\\\\1-\frac{5}{3}=-\frac{2}{3}\\-x=-\frac{2}{3}\\\\x=\frac{2}{3}\\[/tex]

Answer:

C

Step-by-step explanation:

The amount of sides on the shape are increasing, like 4, 5, 6, so the best answer should be 7 sides for the next shape, however there is no shape that is 7, so C which has 8 sides is the next best answer.

Most likely the next step in the series is hectogon. Therefore, option A is the correct answer.

A pattern in mathematics is an arrangement of numbers, shapes, colours and other elements that repeat. This arrangement can be related to any event or object. When a group of numbers is organised in a certain way, it is referred to as a pattern. Patterns can also be referred to as a series.

The given series has square, pentagon and hexagon.

We know that, square has 4 sides, pentagon has 5 sides and hexagon has 6 sides.

So, the next figure in the series must have 7 sides.

Thus, 7 sided figure is called has hectogon and septagon.

Therefore, option A is the correct answer.

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Answer:

$65

Step-by-step explanation:

Let x represent the cost of the hat.

Since the pants cost $10 more than the hat, the cost can be represented by x + 10.

Since the sweater cost $10 more than the pants, the cost can be represented by x + 20.

Create an equation adding these all together and setting it equal to 225, then solve for x:

(x) + (x + 10) + (x + 20) = 225

3x + 30 = 225

3x = 195

x = 65

So, the hat cost $65

[tex]\text{Solve for y:}\\\\-4.1=8(y-5)\\\\\text{Use the distributive property}\\\\-4.1=8y-40\\\\\text{Add 40 to both sides}\\\\35.9=8y\\\\\text{Divide by 8}\\\\\boxed{4.4875=y}\\\\[/tex]

Hey there! I'm happy to help!

The unit rate is how much stuff there is per 1 unit. All ratios can be rewritten as fractions, this one could be 0.2/0.5. The word per means divide, and fractions are basically dividing. So, we want the denominator to be 1.

To get 0.5 to 1, we multiply by 2. So, we will multiply the fraction by 2/2.

0.2/0.5(2/2)=0.4/1

Therefore, the unit rate is 0.4/1 or 0.4:1 or 0.4 per 1.

Have a wonderful day! :D

Answer:

Dimensions of the product matrix = (3 × 3)

Step-by-step explanation:

If matrix P having dimensions (m × n) and matrix Q having dimensions (n × r) are multiplied,

Dimensions of the product matrix PQ will have the dimensions as (m × r).

That means product of the two matrices are defined when columns of first matrix P is equal to the rows of the second matrix Q.

Following this rule,

Dimensions of matrix A = (2 × 3)

[ Rows × Columns]

Dimensions of matrix B = (3 × 3)  [Rows of B = 3, columns of B = 3]

Dimensions of matrix C = (3 × 2) [Rows of C = 3, columns of C = 2]

Since columns of C and rows of A are equal.

Therefore, product of C and A is defined.

Product of the matrices C & A will have the dimensions as (3 × 3).

Answer:

less water

Step-by-step explanation:

Elena has drank 3 liters

and you drank 3/4 times so multiply it

3/4*3/4=9/16

3 is more than 9/16

Answer:

lesser water

Step-by-step explanation:

3 is 3 wholes.

9/16 is less than 1...

Answer:

Step-by-step explanation:

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

Answer:

$12,750,000

Step-by-step explanation:

15,000,000 x 0.15 = 2,250,000

15,000,000 - 2,250,000 = 12,750,000

Answer:

Step-by-step explanation:

[tex]15\% \: discount \:on \: 15,000,000\\\\= \frac{15}{100} \times 15,000,000\\\\\\= \frac{225000000}{100}\\ \\= 2250000\\\\15 000 000 - 225 0000= 12750000[/tex]

Step-by-step explanation:

3x+5+x-25=180°

4x=180°+20

x=50

Because m and n are parallel, we can use the supplementary angles theorem. This means that the two angles add up to equal 180°.

Knowing this, we can add the two angles together and they should equal 180:

(3x + 5) + (x - 25) = 180

4x - 20 = 160

4x = 160

x = 40

If needed, to find the angle measures, we can just plug in our x value to find the measures of the angles.

Answer:

6,25

Step-by-step explanation:

Step-by-step explanation:

the area of a triangle is baseline×height/2

in case of such a right-angled triangle we can use the sides that enclose the 90 degree angle as baseline and height.

so,

B = 8×6/2 = 8×3 = 24 yd²

the height h is 8 yd (as the picture clearly shows).

the perimeter of the base is the sum of all three sides

P = 8 + 6 + 10 = 24 yd

Answer:

3.69

Step-by-step explanation:

9% of 41 is (9/100)*41=369/100=3.69

Answer:

46

Explanation:

root of 2116

=46×46

Therefore 46 columns and 46 rows

Answer:

46 rows, 46 columns.

Step-by-step explanation:

First factor 2116:

2) 2116

2 } 2058

23  ) 529

       23

2116 = 2*2*23*23

= 46 * 46

Answer:

Option B, random sample

it should be the answer

The given information is an example of a random sample. The correct option is B.

In statistics, a simple random sample is a subset of people chosen at random from a larger group, all of whom were chosen with the same probability. It is a method of choosing a sample at random.

It is given that A sample is generated from a population of 20 items. Each of the 20 items is given a label, and a 20-sided die is rolled 3 times to determine which 3 items are in the sample.

The above information is an example of a random sample. Follow the given definition above.

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Answer:

6x^2 + 15

Step-by-step explanation:

We don't know what the square of a number is, so we represent it as x^2

The first part tells us to find the product of 6 and the square of a number, so

6x^2

The second part tells us to add 15 so,

6x^2 + 15

The expression that should be represented is [tex]6x^2 + 15[/tex]

Given that

Based on the above information,

Let us assume the number should be x

So, from the above information, the expression should be [tex]6x^2 + 15[/tex]

Therefore we can conclude that The expression that should be represented is [tex]6x^2 + 15[/tex]

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Answer:

So what we need to do is find out how many are left after taking away the 8th graders.

15x - 8x =  7x

so we have part of that

7x

Then 13xy - 8xy

5xy

10y - 8y

2y

this means that for 7th graders its

7x + 5xy + 2y

Step-by-step explanation:

Answer:

7x + 5xy + 2y is the number of 7th graders in the school.

Step-by-step explanation:

We are told that the total number of students is 15x + 13xy + 10y for both, 7th and 8th grade. We are also told that there are 8x + 8xy + 8y 8th graders. Incase you weren't able to figure out by this detail, we need to subtract to find the answer. We need to subtract the total students, 15x + 13xy + 10y, from the 8th graders, 8x + 8xy + 8y.

The steps would look like this:

   15x + 13xy + 10y

— 8x + 8xy + 8y

---------------------------

  7x + 5xy + 2y

15 - 8 = 7

13 - 8 = 5

10 - 8 = 2

Answer:

4x + 3 = 2x -8

subtraction property of equality: 4x - 2x = -8 - 3

2x = -11

division property of equality: x = -11/2

The number of different 8 digit phone numbers we can have that do not contain the digit 2 is 43046721 numbers

Since there are 10 digits in our number system from 0 to 9, and we are looking for the number of different 8-digit phone numbers that do not contain the digit 2, we would be one digit short. So, for each digit position, we would have 10 - 1 digits = 9 digits.

Since we have 8 places for each digits, for the first place, we have 9 digits. For the second place, we have another 9 digits and so on till we get to the 8 th digit place.

So, for all 8 digit places, we have 9 × 9 × 9 × 9 × 9 × 9 × 9 × 9 × 9 = 9⁸.

So, the number of different 8 digit phone numbers we can have that do not contain the digit 2 is 9⁸ numbers = 43046721 numbers.

Thus, the number of different 8 digit phone numbers we can have that do not contain the digit 2 is 43046721 numbers.

Learn more about multiplication principle of counting here:

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Answer:

0.06

Step-by-step explanation:

Total number of marbles:

6 + 10 + 5 + 1 = 22 marbles

Probability of picking 1 red marble:

red marbles / total marbles

6/22

Probability of picking a green marble:

green marbles / total marbles

5/22

Now, multiply the probabilities:

6/22 • 5/22 = 15/242 = 0.06

Answer:

9 books

Explanation:

Number of animal books = 43

Number of art books = 29

So, total number of books

= Number of animal books + Number of art books

= 43 + 29

= 72

Number of books in each shelf, if divided equally

= Total number of books/Number of shelfs

= 72/8

= 9

So, each shelf has 9 books in it.

Answer:

Volume = 2.5 x 13 x 11

Volume = 357.5

357.5 x 0.55 = 196.625, which can be rounded up to 197.

So, the correct answer is 197 pounds.

Let me know if this helps!

Answer:

they are -7 points away. it would be a negative if you're going down and positive if going up that's how I was explained :D

Step-by-step explanation:

Answer:

-9

Step-by-step explanation:

Since the signs are different, subtract the two numbers and take the sign of the larger number

78 - 69

9

Since 78 is the larger number and it was negative

-9

Answer:

-9

Step-by-step explanation:

-78+69

=-9

happy to help

Step-by-step explanation:

[ -6 +22 – 6 + 8 ] = 18

18 ÷ (-9) = -2

{40 – (-2) -3 – ( -1)} = { 40 + 2 -3 + 1} = 40

400 ÷ 40 = 10

(40 x 23) + (40 x -17)

920 + (-680)

= 240

(1673 x 99) + 1673

1673 x 100

= 167300

Hope this helps ^-^

Answer:

Here is the equation 4x6/8=3

Answer:

4 x q ÷ 8 = 3

4 x 6 ÷ 8 = 3

(24) ÷ 8 = 3