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damaskus [11]
3 years ago
9

For what value of a does (1/9)a+1 =81a+1 272-a?

Mathematics
1 answer:
AlexFokin [52]3 years ago
8 0

Answer:

-4

Step-by-step explanation:

\left( \dfrac{1}{9}\right)^{a+1}= 81^{a+1}\cdot 27^{2-a}\\\\\\(3^{-2})^{a+1}=(3^4)^{a+1}\cdot (3^3)^{2-a} \\\\\\3^{-2a-2}=3^{4a+4}\cdot 3^{6-3a} \\\\\\3^{-2a-2}=3^{a+10} \\\\\\-2a-2=a+10 \\\\\\-3a=12 \\\\\\a=-4

Hope this helps!

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Find a quadratic model for the set of values: (-2, -20), (0, -4), (4, -20). Show your work.
Ivahew [28]
Ok... so this question can be solved by using simultaneous equations. 

Use the general from of a parabola 

y = ax^2 + bx + c

you know the value of c, the y-intercept... y = -4

which means the equation is 

y = ax^2 + bx - 4

now use the other 2 points to get 2 equations in 2 unknowns

(-2, -20) just substitute 

-20 = (-2)^2a + (-2)b - 4  ~~~or~~~ -20 = 4a - 2b - 4

this becomes

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now the other equation using (4, -20)

The simplified form is 




6 0
3 years ago
F(x) = 5x^2 + 9x – 4<br> g(x) = – 8x^2 – 3x – 4<br> Find (f + g)(x).
svp [43]

Answer:

(f + g)(x) = – 3x^2 + 5x - 8

Step-by-step explanation:

(f + g)(x) = f(x) + g(x)

= 5x^2 + 9x – 4 + (– 8x^2 – 3x – 4)

= 5x^2 + 9x – 4 – 8x^2 – 3x – 4

Combine

= – 3x^2 + 5x - 8

3 0
3 years ago
F(-4) for f (x) = -4x+9<br>f(-4)=?
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Multiply f*x

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Combine like terms: -4x+4x=0

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