Ab = (7x-6) → b = (7x-6)/a (1)

bc = (12-2x) → b = (12-2x)/c (2)

Since (1) = (2) → (7x-6)/a = (12-2x)/c OR a/c = (7x-6)/(12-2x) (3)

Multiply both numerators of (3) by the SQUARE of their respective denominators;

(a*c²)/c = (7x-6)(12-2x)²/(12-2x)
Now simplify:

ac = (7x-6)(12x-2x) or ac = -14x² + 96x - 72

4 0

3 years ago

Help plssss idk what to do!!!!!!!!!

Firdavs [7]

9514 1404 393

Answer:

y = 1

Step-by-step explanation:

Recognize that 25 and 125 are powers of 5 and rewrite the equation in terms of powers of 5.

The applicable rules of exponents are ...

(a^b)^c = a^(bc)

(a^b)/(a^c) = a^(b-c)

(a^b)(a^c) = a^(b+c)

Your equation can be written as ...

$25^4\div5^{5y}=125^y\\\\(5^2)^4\div5^{5y}=(5^3)^y\\\\5^{8-5y}=5^{3y}\\\\8-5y=3y\qquad\text{equate exponents of the same base}$

Now this can be solved as an ordinary linear equation.

8 = 8y . . . . . . add 5y to both sides

1 = y . . . . . . . divide by 8

The solution is y = 1.

4 0

3 years ago

The ABC company's brand has a market share of 30%. Suppose that in a survey, 800 consumers of the product are asked which brand

Anna007 [38]

Answer: 0.68

Step-by-step explanation:

given data:

ABC market share = 30%

number of customers surveyed = 800

probability that more than 32% prefers ABC

Solution:

32% of 800

= 256 persons

p ( x ≥ 256 )

= 1 - ( 256/800 )

= 1 - 0.32

= 0.68

the probabiliy that more than 32% of those who carried out the survey would prefer ABC brand is 0.68.

5 0

3 years ago