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Naily [24]
3 years ago
7

PLEASE HELP!!

Mathematics
1 answer:
aliya0001 [1]3 years ago
4 0

Ik this is late, but people who are looking for the answer can see this.

Answer:

an =1/3*6^n-1

Step-by-step explanation:

You should plug in 2 for n in each equation, which, the correct one should give you 2. Then, to make sure, you plug in 3 in the equations that gave you 2.

Example:

an = 1/3 * 6 ^n-1

Plug in 2.

an = 1/3 * 6 ^2-1

an = 1/3 * 6 ^1

1/3 * 6 = 2

Step 2.

an = 1/3 * 6 ^3-1

an = 1/3 * 6 ^2

1/3 * 36 = 12

Hope this helps.

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The length of a side of a rectangle is 2 units less than a number, and the width is 4 units more than the length. Which of the f
Simora [160]

Answer:

The correct answer is option C.  x² - 4

Step-by-step explanation:

Area of rectangle  = Length * Width

It is given that ,

The length of a side of a rectangle is 2 units less than a number, and the width is 4 units more than the length.

Let 'x' be the number

Length of rectangle = x - 2

Width = Length + 4 = x - 2 + 4 = x + 2

<u>To find the area of rectangle</u>

Area = Length *  Width

Area = (x - 2)*(x + 2) = x² - 4

Therefore option C.  x² - 4 is the correct answer

6 0
3 years ago
A vehicle uses 1 1/8 gallons of gasoline to travel 13 1/2 miles. At this rate, how many miles can the vehicle travel per gallon
valentina_108 [34]

Answer:

12 miles

Step-by-step explanation:

The problem above is related to the topic on "Equivalent Ratios." The missing term above is <em>"the number of miles that the vehicle can travel per gallon of gasoline."</em> In order to find this term, you have to use the "cross products."

Let n be the missing term.

  • 1\frac{1}{8} gallons/13\frac{1}{2} miles = \frac{1 gallon}{n}
  • \frac{9}{8} gallons/\frac{27}{2} miles = \frac{1 gallon}{n}
  • \frac{9}{8} x n = \frac{27}{2} x 1 gallon
  • n = \frac{27}{2} ÷ \frac{9}{8}
  • n = \frac{27}{2} x \frac{8}{9}
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Therefore, the vehicle can travel 12 miles per gallon of gasoline.

3 0
3 years ago
Can someone help me with this problem???
Greeley [361]
Area = (39x18)/2 =351
answer = 351 m^2
8 0
3 years ago
Solve 2x^2-3x-5=0 with the quadratic formula please and have a bless day
Troyanec [42]

Answer:

( 2x^62- 3x) - 5 = 0

2x^62 - 3x - 5 = 0

X = - 1

- 5/2

The it is my dear friend

6 0
2 years ago
Inverse of y equals 12 to the x
e-lub [12.9K]

Answer:

f^{-1}(x) = log_{12}(y)

Step-by-step explanation:

We have the following function

y = 12^x, and we need to find the inverse function.

To find the inverse function we should solve the equation for "x". To do so, first, we need to:

1. Take the logarithm in both sides of the equation:

lg_12 (y) = log _12 (12^x)

(Please read lg_12 as: "Logarithm with base 12")

From property of logarithm, we know that lg (a^b) = b*log(a)

Then:

lg_12 (y) = x*log _12 (12)

We also know that log _12 (12) = 1

Then:

x = log_12(y).

Then, the inverse of: y= 12^x is:

f^{-1}(x) = log_{12}(y)

5 0
3 years ago
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