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2 years ago

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

Mathematics

1 answer:

AlexFokin [52]2 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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If point p and q contened in a plane then PQ is entirely contained in that plane?

anyanavicka [17]

Please elaborate on this so that I can help you.

6 0

3 years ago

Ivan has 6 times as many blue beads as red beads. he has 49 red and blue beads in all. how many blue beads does Ivan have

salantis [7]

Let

x--------> the number of blue beads

y--------> the number of red beads

we know that

$x+y=49$

$x=49-y$ -------> equation $1$

$x=6y$ ------> equation $2$

equate equation $1$ and equation $2$

$49-y=6y\\ 6y+y=49\\ 7y=49\\\\ y=\frac{49}{7} \\ \\ y=7$

find the value of x

$x=6*7\\ x=42$

therefore

the answer is

Ivan has $42$ $blue beads$

3 0

2 years ago

Read 2 more answers

The product of twice a number and six is the same as the difference of eleven times the number and a

Naddik [55]

Answer:

X=-3/8 (x equals negative 3 over 8.)

Step-by-step explanation:

So, you have twice a number and six. That is going to be 2x*6, and that then simplifies into 12x. Now, 11 times the number, would be 11x. The difference between 11x and 3/8 would be 11x-3/8.

So, You now have 12x=11x-3/8.

Combine like factors. So, 12x-11x=-3/8.

Now, you have x=-3/8.

Hope this Helps!! (:

8 0

3 years ago

Lamar works as a tutor for $7 an hour and as a waiter for $8 an hour . this month he worked a combined total of 92 hours at his

ira [324]

t is the number of hours Lamar worked as a tutor
We know that he worked for 92 hours total, so he worked 92-t hours as a waiter.

So his earnings are: 7t + 8(92-t) = 736 -t dollars

This expression seems logical as if Lamar worked 0 hours as a tutor and 92 as a waiter his earnings would be 8*92 = 736
If he worked as a tutor for 92 hours it would be 7*92= 644
736-92= 644
So our expression seems to be working.

5 0

3 years ago

Solve for xxx. Enter the solutions from least to greatest. x^2 +7=43x 2 +7=43x, squared, plus, 7, equals, 43 \text{lesser }x =le

vaieri [72.5K]

Answer:

Step-by-step explanation:

x²+7=43x

x²-43x+7=0

$x=\frac{43 \pm \sqrt{(43)^2-4(1)(7)} }{2(1)} \\=\frac{43 \pm \sqrt{1849-28} }{2} \\=\frac{43 \pm \sqrt{1821} }{2} \\\approx \frac{43 \pm 42.673}{2}\\\approx 0.1635,42.8365$

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3 years ago