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Leviafan [203]
2 years ago
11

The length of a rectangle is four times the width. The perimeter of the rectangle is 45 inches. Write a system of equations that

represents this problem. What is the area of the rectangle​
Mathematics
1 answer:
Nady [450]2 years ago
8 0

Step-by-step explanation:

2×length + 2×width = 45

length = 4×width

now, we are using the second equation (a variable identity) in the first equation

2×4×width + 2×width = 45

8×width + 2×width = 45

10×width = 45

width = 45/10 = 4.5 in

length = 4×width = 4×4.5 = 18 in

the area of the rectangle is

length × width = 18 × 4.5 = 81 in²

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11. rewrite the function in the form y=a (1+r)*
Anettt [7]

Problem 10

The two functions <u>are inverses</u> of each other. Why? Because we can think of f(x) = (x-7)/(-2) as y = (x-7)/(-2).

Swap x and y to get x = (y-7)/(-2). Solving for y leads to y = -2x+7 showing that g(x) = -2x+7 is the inverse of f(x) = (x-7)/(-2). This process can be done in reverse to get the same result.

===================================================

Problem 11

y = a(6)^(t/2)

y = a( 6^(1/2) )^t

y = a(2.4494897)^t

y = a( b )^t

where b = 6^(1/2) = 2.4494897 approximately

Set b equal to 1+r and solve for r

1+r = 2.4494897

r = 2.4494897-1

r = 1.4494897

This rounds to about r = 1.45

The r value is the decimal form of the percentage, which means we move the decimal point over two spots to the right to get 145% approximately

Answers:

The equation is roughly y = a(1 + 1.4494897)^t

The growth rate is approximately 145%

===================================================

Problem 12

You have the correct answer. Nice work.

===================================================

Problem 13

You are very close to the correct answer. However, you're missing the base of the log.

The answer should be \log_{49}(343) = \frac{3}{2}. So you'll need to write in a small "49" under the log.

The general rule is that exponential equations in the form b^x = y are equivalent to the log version of \log_{b}(y) = x. For each equation, b is the base. The idea of logs is to isolate the exponent.

3 0
2 years ago
Given that the slope is 4 and (4, 6) is on the line. Write the equation of the line
Marta_Voda [28]

Answer:

y= 4x - 10

Step-by-step explanation:

y-6 = 4(x - 4)

y - 6 = 4x -16

+6. +6

y= 4x - 10

5 0
1 year ago
What is the mean for the set of data? 0 1 2 3 4 5 6<br> options-<br> 3<br> 3.5<br> 4<br> 6
Andrei [34K]
Hey there! :)

To find mean, add all the numbers and divide by how many numbers there are.

0 + 1 + 2 + 3 + 4 + 5 + 6 = 21

There are 7 numbers

21 ÷ 7 = 3

The mean is 3

Hope this helps :)
6 0
3 years ago
What is 175.42 rounded to the nearest tenth?
aleksklad [387]
175.4

Because The Hundredths place is less than 5 so it rounds to 175.4


7 0
3 years ago
Read 2 more answers
What is air<br>what do we get from air​
Basile [38]

Answer:

air is a type of oxegen that we breath

Step-by-step explanation:

we get air from trees .

7 0
3 years ago
Read 2 more answers
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