All categories

2 years ago

9^2(x-1) = 27^x how do I solve this equation?

1 answer:

5 0

Answer: x = 2

Explanation: 9^2x-1 = 3^2 • (2x - 1) = 3^4x-2

27x = 3^3x

Upon equating: 3^4x-2 =3^3x

Since the base is equal , we can equate the powers:

4x - 2 = 3x

You might be interested in

The number of apples in a box decreased from 150 to 135. What is the percent decrease of the number of apples in the box?

goblinko [34]

Answer:

10% decrease

Step-by-step explanation:

The formula for percent change is:

$\frac{\textrm{New}-\textrm{Old}}{\textrm{Old}} \times 100$

Therefore, for this example:

$\frac{\textrm{New}-\textrm{Old}}{\textrm{Old}} \times 100=\frac{135-150}{150} \times 100=-10\%$

The negative value indicates that the change was a decrease. Therefore, there was a 10% decrease.

5 0

3 years ago

Saving...

vesna_86 [32]

Answer:

$m\angle y=35.69^o$

Step-by-step explanation:

The picture of the question in the attached figure

we know that

In the right triangle of the figure

$sin(y)=\frac{7}{12}$ ----> by SOH (opposite side divided by the hypotenuse)

using a calculator

$m\angle y=sin^{-1}(\frac{7}{12})=35.69^o$

8 0

2 years ago

Julie wants to make 800 g of a 15% alcohol solution by mixing a

monitta

Answer:

x =550

y=250

Step-by-step explanation:

.2x + .04y = 120

x + y = 800

6 0

2 years ago

3.50 rounded to the nearest whole ounce

Maslowich

Answer:

Step-by-step explanation:

Look at the tenths place to round.

4 and below, round down.

5 and above, round up.

In this case, it’s 5 so round up.

3.50 -> 4

5 0

3 years ago

28 is what % of 20<br><br> 28 is ___% of 20

Greeley [361]

28 is 140% of 20

Hope this helps!

7 0

2 years ago