Solve the equation for the indicated variable ab+9=3b-5c for b

Answers

Answer 1

Answer: $ab+9=3b-5c \ \ |-3b\n \n -3b+ab +9=3b-3b-5c \n \n -3b +ab+9=-5c \ \ | -9 \n \n-3b+ab+9 -9=-5c-9 \n \n-3b +ab =-5c-9 \ \ / \cdot (-1) \n \n 3b-ab =5c+9 \n \nb(3-a)=5c+9 \ \ /:(3-a)\n \nb=(5c+9)/(3-a)$

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Does anyone know how to do factoring? n^2-15n+56

Answers

first, find 2 numbers that multiply to 56 and add to -15 (-8,-7)
therefore, the factored version is (n-7) (n-8)
:)

Expand the following by using binomial theorem.
I) (7x-4y)⁵

Answers

(7x-4y)+( 7x-4y)+(7x-4y)+

(7x-4y)+(7x-4y)

And i need help with these problem.An alloy of tin is 15% tin and weighs 20 pounds. A second alloy is 10% tin. How much (to the nearest tenth lb.) of the second alloy must be added to the first alloy to get a 12% mixture.

______ pounds

Answers

Let the required amount of the second alloy be x, then
0.15 x 20 + 0.1x = 0.12(20 + x)
3 + 0.1x = 2.4 + 0.12x
0.12x - 0.1x = 3 - 2.4
0.02x = 0.6
x = 0.6/0.02 = 30

Therefore, to make a 12% mixture, 30 pounds of the secon mixture should be added.

Tin from the first alloy: 20*15% = 3

Tin from the second alloy: x*10% = 0.1x

Total tin: (20 + x)*12% = 2.4 + 0.12x

Total tin = tin from the first alloy + tin from the second alloy
2.4 + 0.12x = 3 + 0.1x

Solve for x:

0.12x - 0.1x = 3 - 2.4
0.02x = 0.6
x = 0.6 /0.02
x = 30

Answer: must add 30 pounds of the second alloy.

Which shows the factored form of x2 – 12x – 45?(x + 3)(x – 15)
(x – 3)(x – 15)
(x + 3)(x + 15)
(x – 3)(x + 15)

Answers

Hi!

(x+a)·(x+b) = x²+xa+xb+ab = x²-12x-45

x² = x²
xa+xb = (a+b)x = -12x ⇒ (a+b) = -12
ab = -45

When (a+b) = -12 and ab = -45?

+3-15 = -12 and (+3)(-15) = -45
-3-15 = -18 and (-3)(-15) = +45
+3+15 = +18 and (+3)(+15) = +45
-3+15 = +12 and (-3+15) = -45

Answer:

(x+3)(x-15)

12x a y b ÷ (-6x a y)

Answers

Answer:

$(12xay)/(-6xay) \n$ = -2b is the answer

Step-by-step explanation:

$(12xay)/(-6xay) \n$

here we can see that we can cancel common terms from both numerator and denominator . 12 is divided by 6 we get 2 and x ,a and y are cancelled from the denominator .Only b is left in the numerator .

so final answer is -2b.

12x a y b ÷ (-6x a y)
Answer is -2b

Simplify the following expression: 6(5 - 3x) - 5(3x + 2) �� 20 - 33x �� 40 + 33x
�� 20 + 33x �� 40 - 33x

Answers

Answer:20-33x

Step-by-step explanation:

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