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Klio2033 [76]
3 years ago
10

For what value of a does (1/9)^a+1 = 81^a+1•27^2-a

Mathematics
2 answers:
Sonbull [250]3 years ago
7 0

Answer: -4

Step-by-step explanation:

Veronika [31]3 years ago
3 0
The problem is below:
Hope this helps;)

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How do I complete this formal check?
natima [27]

Answer:

Step-by-step explanation:

The first two steps are for the purpose of eliminating fractions.  Doing so results in 4(2x - 5) = 9(x - 2), which is to be solved for x.

Perform the indicated multiplication, obtaining:

8x - 20 = 9x - 18.

Then combine like terms:  -2 = x, or

x = -2.

To complete the formal check, substitute -2 for x in the first equation.  This results in:

(1/3)(-4 - 5) = (3/4)(-2 -2), or

        -3       =        -3

... which is obviously true.  

8 0
3 years ago
Ravi borrows $950 from his parents with a simple interest rate of %5. If it takes him 2 years to pay back the money, how much in
crimeas [40]

Answer:

he will owe $1,047 in total and $97.37 in interest

5 0
2 years ago
Which choice is the equation of a line that passes through the point (–6, –2) and is perpendicular to the line represented by th
kobusy [5.1K]

Answer:

  B.  y = 1/3x

Step-by-step explanation:

The slope of the given line is -3, so the slope of the perpendicular line will be the negative reciprocal of that: -1/(-3) = 1/3. This eliminates choices A and C.

We can find the y-intercept (b) if we use the given point values in the equation ...

  y = 1/3x +b

we get ...

  -2 = (1/3)(-6) +b

  -2 = -2 +b . . . simplify

  0 = b . . . . . . . add 2

So, the equation of the perpendicular line through the given point is ...

  y = 1/3x . . . . matches choice B

_____

<em>Alternate solution method</em>

You can try the given point in the given equations. You will find that only the equation of choice B will work.

7 0
3 years ago
Judy worked 8 hours and Ben worked 10 hours. Their combined pay was $80. When Judy worked 9 hours and Ben worked 5 hours, their
pav-90 [236]

Answer:

Judy = $5/hr

Ben = $4/hr

Step-by-step explanation:

Judy's hours at work - x

Ben's hours at work - y

8x + 10y = 80

9x + 5y = 65

Given these two equations above, we get:

10y = 80 - 8x, which means y = 8 - 0.8x.

Substitute y in the second equation with 8 - 0.8x, so we have:

9x + 5 (8 - 0.8x) = 65

9x + 40 - 4x = 65

5x = 25

x = 5

Come back to the first equation, substitute x:

8*5 + 10y = 80

10y = 80 - 40

y = 4

3 0
3 years ago
Help help math math math
natka813 [3]

Answer:

Yes, this is a function

Step-by-step explanation:

You know this because it passes the vertical line test.

I hope this helps!

7 0
2 years ago
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