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suter [353]
3 years ago
15

Write an equation to represent the following statement 29 is 6 more than K solve for K K =

Mathematics
1 answer:
Lerok [7]3 years ago
4 0

Answer:

<h2>23</h2>

Step-by-step explanation:

29 is 6 more than K

Let's create an equation

29 = 6 + k

Move variable to L.H.S and change its sign

Similarly, move constant to R.H.S and change its sign

- k = 6 - 29

Calculate

- k =  - 23

Change the sign on both sides of the equation

k = 23

Hope this helps..

Best regards!!

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Which function below is the inverse of f(x)= 3x+5/7
valkas [14]

Answer:

\huge\boxed{f^{-1}(x) = \frac{7x-5}{3}}

Step-by-step explanation:

Given the function:

f(x) = \frac{3x+5}{7}

Put f(x) = y

y = \frac{3x+5}{7}

Interchange x and y

x = \frac{3y+5}{7}

Solve for y

x = \frac{3y+5}{7}

Multiplying both sides by 7

7x = 3y+5

Subtracting y to both sides

7x-5 = 3y

Dividing both sides by 3

\frac{7x-5}{3} = y

<u>OR</u>

y = \frac{7x-5}{3}

Put y = f^{-1}(x)

So,

f^{-1}(x) = \frac{7x-5}{3}

Hope this helped!

<h2>~AnonymousHelper1807</h2>
5 0
4 years ago
-97 = 3x -4(3x+4) solve the problem ok guys lets go
lesya [120]
-97 = 3x - 12x - 16
Simplify more
-97 = -9x - 16
Add 16 to both
-81 = -9x, x = 9
Solution: x = 9
5 0
3 years ago
Read 2 more answers
-91/12 reduced to in simplest form
den301095 [7]
First, you have to make it into a mixed number : - 7 7/12. Since -7 7/12 can't be simplified anymore, it's the final answer
3 0
4 years ago
The cost of a car rental is ​$ per day plus per mile. You are on a daily budget of ​$. Write and solve an inequality to find the
nydimaria [60]

Question:

The cost of a car rental is ​$42 per day plus 20 cents per mile. you are on a daily budget of ​$98. write and solve an inequality to find the greatest distance you can drive each day while staying within your budget. use pencil and paper. find 2 other​ two-step inequalities with the same solutions.

Answer:

(a) The greatest distance is 280 miles

(b) 30 + 0.10 m \le 58 and 5 m-400 \le 1000

Step-by-step explanation:

Given

d = \$42 ---->daily rate

m = 20\ cents -- amount per mile

m = \$0.20 --- in dollars

Budget = \$98

Solving (a): Inequality for the scenario

Because you are on a budget, it means that the spending can not exceed $98 (i.e. less than or equal to $98).

So, the inequality is:

42 * days + 0.20 * miles \le Budget

Represent days with d, miles with m and substitute 98 for Budget

42d + 0.20m \le 98

Because it is daily, then d = 1

42 * 1+ 0.20 * m \le 98

42+ 0.20m \le 98

Collect like terms

0.20m \le 98 - 42

0.20m \le 56

m  \le \frac{56}{0.20}

m \le 280

<em>The greatest distance is 280 miles</em>

Solving (b): Two other inequalities with the same solution as: m \le 280

To do this, all you need to do is to perform the same operation on both sides of the inequality.

m \le 280

Multiply both sides by 0.10

0.10 * m \le 280 * 0.10

0.10 m \le 28

Add 30 to both sides

30 + 0.10 m \le 28+30

30 + 0.10 m \le 58 --- equation (1)

Another possible equation is as follows:

m \le 280

Multiply both sides by 5

5 * m \le 280 * 5

5  m \le 1400

Subtract 400 from both sides

5 m-400 \le 1400-400

5 m-400 \le 1000 --- equation (2)

7 0
3 years ago
For the pair of similar solids, find the scale factor of the solid on the left to the solid on the right. Then find the ratios o
Luba_88 [7]

Answer:

125

Step-by-step explanation:

5 0
4 years ago
Read 2 more answers
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