How to factorise

a²b² - 6abc + 9c²

can anyone explain it by step-by-step
pls ​

Given:

Greeting card cost before tax = $4

Discount = 15%

Sales tax = 5%

To find:

How much will the customer pay for the card?

Solution:

It is given that the cost of the greeting card before tax is $4.

After 15% discount, the cost of the greeting card is:

Cost of card after discount [tex]=4-\dfrac{15}{100}\times {4}[/tex]

                                             [tex]=4-0.6[/tex]

                                             [tex]=3.4[/tex]

The cost of card after 5% sales tax is:

Cost of card after tax [tex]=3.4+\dfrac{5}{100}\times 3.4[/tex]

                                    [tex]=3.4+0.17[/tex]

                                    [tex]=3.57[/tex]

Therefore, the customer will pay $3.57 for the greeting card.

Answer:

3

Step-by-step explanation:

Step-by-step explanation:

7m - 3m - 6 < 6

4m - 6 - 6 < 0

4m - 12 < 0

4m < 12

m < 12 ÷ 4

m < 3

Answer:

x=21

Step-by-step explanation:

for number 5 i think thats the awnser

Step-by-step explanation:

I think it's 8.9932×10⁶

Answer:

8,993,200

Step-by-step explanation:

10^3 is 1000

8993.2 * 1000

=

8,993,200

Answer:

$0 < p ≤ $25

Step-by-step explanation:

We know that coach Rivas can spend up to $750 on 30 swimsuits.

This means that the maximum cost that the coach can afford to pay is $750, then if the cost for the 30 swimsuits is C, we have the inequality:

C ≤ $750

Now, if each swimsuit costs p, then 30 of them costs 30 times p, then the cost of the swimsuits is:

C = 30*p

Then we have the inequality:

30*p ≤ $750.

To find the possible values of p, we just need to isolate p in one side of the inequality.

So we can divide both sides by 30 to get:

(30*p)/30 ≤ $750/30

p ≤ $25

And we also should add the restriction:

$0 < p ≤ $25

Because a swimsuit can not cost 0 dollars or less than that.

Then the inequality that represents the possible values of p is:

$0 < p ≤ $25

Answer:

What’s the percent Lol

Step-by-step explanation:

Answer:

Step-by-step explanation:

a² - b² = (a +b)(a - b)

[tex]5x^{2} - 16 = 5^{2}x^{2} - 4^{2} \\\\= (5x)^{2}-4^{2}\\\\=(5x + 4)(5x - 4)[/tex]

Answer:

A) (40 + 50) + (6 + 1) + (0.6 + 0.5) + (0.01 + 0.02)

Step-by-step explanation:

In this case, you are breaking each term down to it's non-zero digits, and adding them:

46.61 = 40 + 6 + 0.6 + 0.01

51.52 = 50 + 1 + 0.5 + 0.02

Note however, that the answer choices add each individual non-zero terms together:

(40 + 50) + (6 + 1) + (0.6 + 0.5) + (0.01 + 0.02), or A)

A) (40 + 50) + (6 + 1) + (0.6 + 0.5) + (0.01 + 0.02) is your answer.

~

Step-by-step explanation:

let the number be X

so,

X^9 - 11

Answer: the answer is -4

Answer:

M = 0

Step-by-step explanation:

Straight line is always slope of 0

Answer:

Step-by-step explanation:

Slope is defined as

m=(y2-y1)/(x2-x1) in this case

m=(5-5)/(5- -5)

m=0/10

m=0

This is a horizontal line, y=5, with a slope of zero.

Answer:

3.

Step-by-step explanation:

Square root is the opposite of power. Simplify:

[tex]\sqrt{3 * 3 } = \sqrt{3^2} = 3[/tex]

3 is your answer.

~

Answer:

√{3×3}=√3²=±3 is your answer

Answer:

0.62

Step-by-step explanation:

4.99/8=0.62

Answer:

$75

Step-by-step explanation:

Nicole makes $75 in 12 hours.

I hope this helped, if you have any other questions you may ask me.

Answer:

She supposedly multiplies 4*4*16*-3y but distributes it correctly as if she put (16*4)+(4*-3y) which equals 64-12y.

The work shown is a mistake, the answer of y=5 isn't.

What dimensions shown below?

Answer:

what’s the question

Step-by-step explanation:

1. Opposite Sides Theorem Converse: If both pairs of opposite sides of a quadrilateral are congruent, then the figure is a parallelogram. 2. Opposite Angles Theorem Converse: If both pairs of opposite angles of a quadrilateral are congruent, then the figure is a parallelogram.

Answer:

Step-by-step explanation:

A.)  x² + 1 = 2x − 3   Make the equation into ax² + bx + c = 0. Subtract 2x on both sides, and add 3 on both sides to set the equation equal to 0

x² + 1 - 2x + 3 = 2x - 2x - 3 + 3

x² - 2x + 4 = 0      

a = 1

b = -2

c = 4    This is not the answer because b = 2 not -2, and c = -4 not 4

B.) x² - 2x − 1 = 3     Subtract 3 on both sides to set the equation = 0

x² - 2x - 4 = 0

a = 1

b = -2

c = -4      This is not the answer because b = 2 not -2

C. x² + 2x - 1 = 3    Subtract 3 on both sides to set the equation = 0

x² + 2x - 4 = 0

a = 1

b = 2

c = -4    This is your answer

D. x² + 2x - 1 = -3      Add 3 on both sides to set the equation = 0

x² + 2x + 2 = 0

a = 1

b = 2

c = 2       This is not the answer because c = -4 not 2

Hope this helps       :)

[tex]\frac{8}{10}[/tex] → [tex]\frac{4}{5}[/tex]

8 and 10 can both be divided by 2. So, 8 ÷ 2 is 4 and 10 ÷ 2 is 5.

Hope this helps :)

Answer:

4/5

Step-by-step explanation:

okay so to simplify, we first need to find the GCF of 8 and 10. The GCF of 8 and 10 would be 2. We now divide both 8 and 10 by 2. That will give us 4/5.

[tex]\frac{8}{10}[/tex]÷[tex]\frac{2}{2}[/tex]=[tex]\frac{4}{5}[/tex]

Answer:

4.5

Step-by-step explanation:

Answer:

percent will be

which the answer will be

Step-by-step explanation:

hope it helps

Answer:

40

Step-by-step explanation:

5 x 8 = 40

8 x 5 = 40

4 x 10 = 40

Answer:

40

Step-by-step explanation:

5: 5, 10, 15, 20, 25, 30, 35, 40

8: 8, 16, 24, 32, 40

4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40

Answer:

$5

Step-by-step explanation:

Create a system of equations where p is the cost of a pizza and c is the cost of a cake

8p + 10c = 160

26p + 8c = 226

Solve by elimination by multiplying the top equation by -4, and the bottom equation by 5

-32p - 40c = -640

130p + 40c = 1130

Add these together:

98p = 490

p = 5

So, the cost of a pizza is $5

Answer:

Step-by-step explanation:

Answer:

area =  452.39 square units

circumference = 75.40 square units

Step-by-step explanation:

area = [tex]\pi r^{2}[/tex]

r = 12

452.389

circumference = [tex]\pi *d[/tex]

d = 2r

r = 12

d = 24

75.398

Answer:

y = 2x - 6

Step-by-step explanation:

14-6/10-6 = 8/4 = 2 = slope

6 = 2(6) + b

6 = 12 + b

b = -6

Answer:

1.

A- about 43.98

B- about 17.59

C- 32.99

Step-by-step explanation:

Answer:

1) 43.98

2) 17.59

3) 32.99

Step-by-step explanation:

hopefully they’re all right

Answer:

6:1

Step-by-step explanation:

There are 6 apples t o1 banana

(This is all i can do would have been easier with picture)

Answer:

just do the assignments get help when neccesary ask the teacers if they have any extra credit materials

Step-by-step explanation: