Multiply and simplify (a-3b)^2

Answers

Answer 1

Answer: Simple,

distribute the $^(2)$

It may seem tricky..there is a hidden term in there that most people would forget....

but, it's saying multiply (a-3b)(a-3b) (FOIL)

a*a= $a^(2)$ (First)

-3b*a= -3ab (Outer)

-3b*a= -3ab (Inner)

-3b*-3b= 9 $b^(2)$ (Last)

Making it....

$a^(2)+-3ab+-3ab+9 b^(2)$

Combine terms...

Making your answer, $a^(2) -6ab+9 b^(2)$

Answer 2

Answer: ( a - 3b ) ( a - 3b )

= a² - 3ab - 3ab + (-3b)²

= a² - 6ab + 9b²

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Write the equation of the line with a slope of 3 passing through the point (4,10)

Answers

Answer:

3x - y - 2 =0

Step-by-step explanation:

Equation of line in point slope form is given as:

$y-y_1 =m(x-x_1)$

Plug $_1 =4\:y_1= 10\: \& \: m = 3$ in the above equation, we find:

$y-10 =3(x-4)\n\ny - 10 = 3x - 12\n\ny = 3x - 12+ 10\n\ny = 3x - 2\n\n3x - y - 2 =0$

All insurance is based on a principle called A. division of risk.
B. investment premiums.
C. cash value coverage.
D. premium earnings.

Answers

option a. division risk

Division risk provides administrative support, including the cash management, calculation of casualty and property premiums for customers, monitoring contracts and providing data management and IT support.

Simplify Expression
3/5b - 2 + 7b - 12 - 2/5b + 14

Answers

Answer:

The answer is 7 1/5 b

Step-by-step explanation:

The system of equations 3x – 6y = 20 and 2x – 4y = 3 isA. inconsistent.B. dependent.C. consistent.D. independent.

Answers

d independent all day

Simplify these:

9-7x     x-4
------- + ---------
x+7       x+7

7x     11x
----- - ------
x-7     x-7

9x       14x
----- - --------
x+9   x+9

3x-4   x-9
------- - ------
x +6    x +6

x-3       x-4
----- + --------
2x        6x

11         3
----- + ------
x+9    x-2

1         1
----- - -------
x²-x       x

Answers

First one:
Same denominator so ((9-7x)+(x-4))/(x+7)
Final answer:
(5-6x)/(x+7)

Second one:
Again same denominator so ((7x)-(11x))/(x-7)
Final answer:
(-4x)/(x-7)

Third one:
Same denominator again, ((9x)-(14x))/(x+9)
Final answer:
(-5x)/(x+9)

Fourth one:
Same denominator again, ((3x-4)-(x-9))/(x+6)
Final answer:
(2x+5)/(x+6)

Fifth one:
Different denominators here, so we have to make them them same. We do this by multiplying the first fraction by 3/3 to get (3x-9)/(2x), so ((3x-9)+(x-4))/(6x)
Final answer:
(4x-13)/(6x)

Sixth one:
This one is trickier, we have to multiply each by the others denominator, so ((11)*(x-2))/((x+9)*(x-2)) and ((3)*(x+9))/((x-2)*(x+9)) to get
(11x-22)/(x^2+7x-18) and (3x+27)/(x^2+7x-18)
Final answer:
(14x+5)/(x^2+7x-18)

Last one:
You can change the first fraction to 1/(x*(x-1)), then multiple the second fraction by (x-1)/(x-1) to get (x-1)/(x^2-x). Now add them.
Final answer:
(2-x)/(x^2-1)

Hope I helped :)

(12.8)2 - (30+0.375)

Answers

Answer:

-4.775

Step-by-step explanation:

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