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Ratling [72]
4 years ago
13

What is the reason for each step in the solution of the equation?

Mathematics
1 answer:
MrRa [10]4 years ago
3 0
<span>3(x+2)= 4x+1 |Given
3x+6= 4x+1   |Distributive
−x+6= 1         |SPOE (Subtraction Property of Equality)
−x= −5           |SPOE
x=5                |MPOE (Multiplication Property of Equality)</span>
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Given the function f(x)=3^x, find the value of f^-1(27)
Shalnov [3]

This is asking you to solve the equation ...

... 27 = 3^x

You can use logarithms to find

... log(27) = x·log(3)

... log(27)/log(3) = x = 1.43136376.../0.47712125...

... x = 3

Or, you can use your knowledge of small cubes and match exponents.

... 3^3 = 3^x

... 3 = x

7 0
3 years ago
a maximum speed, and airplane travels 2460 miles against the wind in 6 hours. flying with the wind, the plane can travel the sam
Dmitry [639]
I'm assuming you want to find the wind speed.


the ground speed against the wind is 410.
2460 / 6 = 410

the ground speed against the wind is 492.
2460 / 5 = 592


the difference is 82 mph, but you need to divide by 2 because speed is being added in one direction and subtracted in the other.

82 / 2 = 41

your final answer is 41 mph.
7 0
3 years ago
Read 2 more answers
How to find the factored form of a trinomial?
julsineya [31]
Write out all the pairs of numbers which can be multiplied to produce c.
Add each pair of numbers to find a pair that produce b when added. ...
If b > 0, then the factored form of the trinomial is (x + d )(x + e). ...
Check: The binomials, when multiplied, should equal the original trinomial.
4 0
3 years ago
A two column table with 5 rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has th
Bezzdna [24]

Answer:

The <em>correct</em> answer is y = <u>3</u>x + <u>1</u>.

Step-by-step explanation:

I did the assignment, and it was correct. Hope it helps!

8 0
3 years ago
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De student.cms.k12.nc.us bookmarks
Travka [436]

Answer:

x = 5

Step-by-step explanation:

Given that BD bisects <ABC, it means that <ABC is divided into two equal angles, which are <ABD and <CBD.This implies that:

m<ABD = m<CBD. Therefore:

2(m<ABD) = m<ABC

Substitute:

2(2x + 12) = 44

Solve for x.

4x + 24 = 44 (distributive property)

4x + 24 - 24 = 44 - 24 (substraction property of equality)

4x = 20

4x/4 = 20/4 (division property of equality)

x = 5

8 0
3 years ago
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