Factorise
a) 2ax + 6ay​

Answer:

[tex]\huge\boxed{\sf 5y^2 -4}[/tex]

Step-by-step explanation:

[tex]\sf (7y^2 + 3xy -9) - (2y^2+3xy-5)\\\\Resolving \ Parenthesis\\\\7y^2 + 3xy-9 -2y^2 -2xy+5\\\\Combining \ like \ terms\\\\7y^2-2y^2+3xy-3xy-9+5\\\\Adding \ or \ Subtracting\\\\\boxed{\bold{\sf 5y^2-4}}[/tex]

Answer:

Commutative property of addition is the correct option.

Answer:

the answer commutative my friend

Answer: It is prime

Step-by-step explanation: hope this helps have a good day :)

Answer: 237

Step-by-step explanation:

Ok we can write 426 as:

400 + 20 + 6

Then the 2 in 426 is in the place of the tens and represents a 20.

If we want a number with a 2 that is 10 times greater than 20, we have that:

10*20 = 200.

Then we should find a number with a 2 in the hundreds place, an example can be:

237

where we can write this number as:

237 = 200 + 30 + 7

and the 2 is in the hundreds place.

Answer:

16 - 7 + 22 - 12 + 18 - 9 = 28

Hope it helps :)

Answer:

The correct option is;

Benito's profit per shirt increased from $10 to $15

Step-by-step explanation:

Over the interval [0, 7] from 0 to 7 on the x axis, we have;

At x = 0, y = -20, therefore the y-intercept = -20

At y = 0, x = 2 which is the x-intercept

The slope, m₁ of the straight line plotted dots on the interval from 0 to 7 on the x axis is found as follows;

m  = (y₂ - y₁)/(x₂ - x₁)

m₁ = (0 - (-20))/(2 - 0) = 10

The equation of the interval is therefore;

y - 0 = 10×(x - 2)

y = 10·x - 20

Therefore, the profit, y increases by $10, for each shirt, x, sold over the interval from 0 to 7 on the x axis

Over the interval [8, 11] from 8 to 11 on the x axis, we have;

At x = 9, y = 40,

At x = 11, y = 70

The slope, m₂ of the straight line plotted dots on the interval from 8 to 11 on the x axis is found as follows;

m  = (y₂ - y₁)/(x₂ - x₁)

m₂ = (70 - 40)/(11 - 2) = 15

The equation of the interval is therefore;

y - 70 = 15×(x - 11)

y = 15·x - 165

Therefore, the profit, y increases by $15, for each shirt, x, sold over the interval from 8 to 11 on the x axis.

Answer:

A  22w = 1540

B Width = 70 feet

Length = 700 feet.

Step-by-step explanation:

A.  If the width is w then the length is 10w.

Perimeter = 2* (length + width) so

2(10w + w) = 1540

22w = 1540.

B.  22w = 1540

w = 1540 / 22

w = 70 feet.

l = 70 * 10 = 700. feet.

Answer:

We lurk late. We stike straight.

Step-by-step explanation:

Alliteration is the repetition of the beginning sounds ir letters of words.

Ex: Lucy is lazily laughing.

Answer:

(4,-2)

Step-by-step explanation:

Okay, I figured out the answer...

You need to use the [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{2}}[/tex] formula.

We know that AB is parallel to CD....(so whatever answer ad is, then cd will have that same answer).

We also know that AD is parallel to BC...(so whatever answer ad is, then bc will be the same).

So we need to find AB, CD, AD, BC. We have to do CD and BC later because we don't have the c.

Find AB: [tex]\frac{5-5}{6-(-7)}[/tex]= [tex]\frac{0}{13}[/tex]= 0

Find AD: [tex]\frac{-2-5}{-9-(-7)}[/tex] = [tex]\frac{-7}{-2}[/tex]

So now that we have the basic ones, we know that AB is parallel to CD. Therefore CD should have the same slope of 0/13 or 0. SO we need to find numbers that combine with the x and y of AB. When they do combine, they should give a fraction of 0/13.

Find CD: [tex]\frac{-2+2}{-9-4}[/tex] ( we already had the -2...what number adds to -2 to make it zero?...positive 2.....Then, we already had -9 from the D coordinates. So what # adds/subs to -9 to make it 13 or -13...well 4 does. Remember to put the correct signs (-+) in the equation. Our answer is 4,-2). If we had to use positive two, then we take the opposite for our answer. We used -4, so we take the opposite for our answer. Then later on, you can plug in (4,-2) into BC to see if you were to get the slope of -7/-2. which you do.

Answer:

6

Step-by-step explanation:

if the 10% is equal to 3 then 20% is

10/3 = 20/x cross multiply

60 = 10x

6 = x

Answer:

6

Step-by-step explanation:

I think the answer is 6 because if 10%=3 and 10 is half of 20, then 3 is going to be half of 6.

Hope this helps!

Answer:

B.  43.2

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

6x-5x=1x

1x =22

Answer:

(9/5, 8/5)

Step-by-step explanation:

First you want to find the equations of the lines. One line is y = 2x - 2 and the other line is y = 1/3x + 1. Then you want to find the x and y that both work in the two equations.

y = 2x - 2

y = 1/3x + 1

Then you do 2x - 2 = 1/3x + 1

Then you do some maths and you get 9/5, and 8/5

Answer:

The output variable will be on the y-axis, the input variable will be on the x-axis.

Step-by-step explanation:

To create a function, we must an equation in the form of

[tex]Y(x) = kx + b[/tex]

The x-axis of a graph will be what we change in the function. We will get a certain value ([tex]Y(x)[/tex]) that changes when the right side of the function changes. This means that the input of the function will be [tex]x[/tex].

The y-axis of a graph will be what the x-axis makes. In this case, it's [tex]Y(x)[/tex]. This is the output of the graph after given the input.  This means the output is [tex]Y(x)[/tex].

Hope this helped!

Answer:

y = 5x - 2

Step-by-step explanation:

The slope will be 5, because that is the opposite reciprocal of the original slope, -1/5

Then, plug the slope and the given point into y = mx + b to find b:

y = mx + b

-2 = 5(0) + b

-2 = 0 + b

-2 = b

Then, plug the y-intercept and the slope into the equation:

y = 5x - 2 will be the equation

Answer:

  9

Step-by-step explanation:

Let x represent the number.

  2x -8 = 10 . . . . . . . 8 fewer than twice the number is 10

  x - 4 = 5 . . . . . . . . divide by 2

  x = 9 . . . . . . . . . . . add 4

Te number is 9.

Answer:

[tex]\dfrac{17}{30}[/tex] minutes.

Step-by-step explanation:

It is given that Sally takes [tex]2\dfrac{5}{6}[/tex] minutes to drive from her home to the local shopping center.

[tex]2\dfrac{5}{6}=\dfrac{2(6)+5}{6}[/tex]

[tex]2\dfrac{5}{6}=\dfrac{12+5}{6}[/tex]

[tex]2\dfrac{5}{6}=\dfrac{17}{6}[/tex]

She spends 1/5 of this time waiting at traffic lights.

Waiting time in traffic [tex]=\dfrac{17}{6}\times \dfrac{1}{5}[/tex]

                       [tex]=\dfrac{17}{30}[/tex]

Therefore, waiting time is [tex]\dfrac{17}{30}[/tex] minutes.

Answer:

|x| =9           yes

-|x|=9           no

-|-x|=9          no

-|-x|=-9         yes

|x|=-9           no

|-x|=9            yes

|-x|=-9         no

x=9 is a possible solution for

A modulus function is a function that returns a number's or variable's absolute value. It generates the number's or the variable's magnitude.

It is represented by |x|.

Let us check for each equation.

Hence among the possible equations, x=9 is a possible solution for

Learn more about the modulus function in- https://brainly.com/question/13103168?referrer=searchResults

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Answer:

[tex] \boxed{ \bold{ \boxed{ \sf{15 {x}^{4} + 13 {x}^{2} y + 2 {y}^{2} }}}}[/tex]

Option A is the correct option.

Step-by-step explanation:

[tex] \sf{(3 {x}^{2} + 2y)(5 {x}^{2} + y)}[/tex]

Use the distributive property to multiply each term of the first binomial by each term of the second binomial.

Thenafter, Simplify

[tex] \dashrightarrow{ \sf{3 {x}^{2} (5 {x}^{2} + y) + 2y(5 {x}^{2} + y)}}[/tex]

[tex] \dashrightarrow{ \sf{15 {x}^{4} + 3 {x}^{2} y + 10 {x}^{2} y + 2 {y}^{2} }}[/tex]

[tex] \dashrightarrow{ \sf{15 {x}^{4} + 13 {x}^{2} y + 2 {y}^{2} }}[/tex]

Hope I helped!

Best regards! :D

Answer:

38 deg

Step-by-step explanation:

The measures of complementary angles have a sum of 90 deg.

x + 52 = 90

x = 38

Answer: 38 deg

Answer:It would be positive 44

Step-by-step explanation:

Answer:

-43

Step-by-step explanation:

Answer:

B. 4

Step-by-step explanation:

First questions: A

You will add the 10.

Second questions: C

You will multiply the 5.

the answer is -15. negative - negative = negative.

Answer:

(-8)+(-7).

-8-7= -15.

Multiplying a listed price by the percent can get you the sales tax, and then you can add.

[tex]80*0.07=5.6[/tex]

(0.07 is 7% converted into a decimal)

[tex]80+5.6=85.60[/tex]

So the item is $85.60 after sales tax.

You may also notice that multiplying the listed price by 1.07 will get you the same answer, without the need to add the sales tax.

[tex]80*1.07=85.60[/tex]

Hope this helps.

頑張って!

Answer:

3x^2-2x-2

Step-by-step explanation:

2x^2 - 6x - 2 and x^2 + 4x

2x^2 - 6x - 2 +x^2 + 4x

Combine like terms

2x^2  +x^2- 6x + 4x- 2

3x^2            -2x        -2

Based on the calculations, the sum of 2x² - 6x - 2 and x² + 4x is equal to 3x² - 2x - 2.

In Mathematics, the standard form of a quadratic equation is given by this mathematical expression:

ax² + bx + c = 0.

In this exercise, you're required to determine the sum of the given quadratic equations. Thus, we would add the equations together as follows:

2x² - 6x - 2 + x² + 4x

Combining like terms, we have:

2x² + x² + 4x - 6x - 2

3x² - 2x - 2

Read more on quadratic equation here: brainly.com/question/1214333

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Answer:

x = -9

Step-by-step explanation:

Solve for x:

2 (-3 x - 5) + 2 x = 26

2 (-3 x - 5) = -6 x - 10:

2 x + -6 x - 10 = 26

2 x - 6 x = -4 x:

-4 x - 10 = 26

Add 10 to both sides:

(10 - 10) - 4 x = 10 + 26

10 - 10 = 0:

-4 x = 26 + 10

26 + 10 = 36:

-4 x = 36

Divide both sides of -4 x = 36 by -4:

(-4 x)/(-4) = 36/(-4)

(-4)/(-4) = 1:

x = 36/(-4)

The gcd of 36 and -4 is 4, so 36/(-4) = (4×9)/(4 (-1)) = 4/4×9/(-1) = 9/(-1):

x = 9/(-1)

Multiply numerator and denominator of 9/(-1) by -1:

Answer: x = -9

Answer:

A  circle.

Step-by-step explanation:

Answer:

Circle mate

Step-by-step explanation:

Xoxoxo hope it’s correct luv