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klasskru [66]
3 years ago
10

George is playing pool, but there is a large gouge running all the way across the table. When he hits the ball, it bounces off t

he opposite side as he intended but then gets diverted by the gouge. The path of the ball can be modeled by the function f x( )= −x 3 , and the gouge can be modeled by the function g(x) = 2x2 – 30x + 89. The corners of the table correspond to the coordinates (0, 0), (8, 0), (8, 4), and (0, 4).
Mathematics
1 answer:
Darina [25.2K]3 years ago
7 0
I'm sorry if this is not right but I think it 2= (86)
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Can some one help me. Solve this equation.
Marina86 [1]

\bold{Given : 2^2^x^-^2 - 2^x^-^1 = 2^x - 2}

\bold{\implies (2^2^x) (2^-^2) - (2^x)(2^-^1) = 2^x - 2}

\bold{\implies \frac{(2^2^x)}{(2^2)} - \frac{(2^x)}{(2^1)} = 2^x - 2}

\bold{\implies \frac{(2^2^x)}{4} - \frac{(2^x)}{2} = 2^x - 2}

\bold{\implies \frac{[2^2^x - (2^x)(2)]}{4} = 2^x - 2}

\bold{\implies [2^2^x - (2^x)(2)] = (4)(2^x) - 8}

\bold{\implies 2^2^x - (2^x)(2) - (4)(2^x) + 8 = 0}

\bold{\implies (2^x)^2 - (2^x)(6) + 8 = 0}

\bold{Let\;us\;take : (2^x) = Z}

\bold{\implies Z^2 - 6Z + 8 = 0}

\bold{\implies Z^2 - 4Z - 2Z + 8 = 0}

\bold{\implies Z(Z - 4) - 2(Z - 4) = 0}

\bold{\implies Z = 4\;\;(or)\;\;Z = 2}

\bold{But : Z = 2^x}

\bold{\implies 2^x = 4\;\; (or) \;\; 2^x = 2}

\bold{\implies 2^x = 2^2\;\; (or) \;\; 2^x = 2^1}

\bold{\implies x = 2\;\;(or)\;\; x = 1}

8 0
3 years ago
Find the square. (3m + 3)2
olya-2409 [2.1K]

Answer:

9m^2 + 18m + 9

Step-by-step explanation:

(3m + 3)2

Square ;

(a + b)^2 = a2 + b2  + 2ab

(3m + 3)2

= (3m)^2 + (3)^2 + 2 (3m)(3)

= 9m^2 + 9 + 18m

= 9m^2 + 18m + 9

5 0
3 years ago
PLEASE HELP RN
yulyashka [42]

Step-by-step explanation:

y = -9x - 45 -5

y = -9x - 50

slope = x coefficient = -9

we can use the point where

x = 0

y = -50

P1 (0, -50)

and when y = 0

-9x = 50

x = -50/9

P2 = (-50/9 , 0)

3 0
3 years ago
Read 2 more answers
Simplify the expression below.
Degger [83]

Answer:

6x^2 +8x

Step-by-step explanation:

(12x^3 -14x^2 -40x) / (2x-5)

Factor the numerator by factoring out the greatest common factor

2x( 6x^2 -7x-20) / (2x-5)

Factor inside the parentheses

2x (3x+4)(2x-5)/ (2x-5)

Cancel like terms

2x( 3x+4)

Distribute

6x^2 +8x

6 0
3 years ago
Clark says that his parents car is 96 units long. Jay says that parents car is 8 units long. Which customary unit of length was
Ivahew [28]
96x8=768 and that would be your answer
4 0
3 years ago
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