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Kamila [148]
3 years ago
15

Simplify the expression 3(2x - y) + 2(4x + y).

Mathematics
2 answers:
sergij07 [2.7K]3 years ago
7 0
Here’s the answers
14x-y
iragen [17]3 years ago
4 0

Answer:

\boxed{ \bold{ \huge{ \boxed{ \sf{14x - y}}}}}

Step-by-step explanation:

\sf{3(2x - y) + 2(4x + y)}

Distribute 3 through the parentheses

Similarly , distribute 2 through the parentheses

\dashrightarrow{ \sf{6x - 3y + 8x + 2y}}

Combine like terms and simplify

\dashrightarrow{ \sf{6x + 8x - 3y + 2y}}

\dashrightarrow{ \boxed{ \sf{14x - y}}}

Hope I helped!

Best regards! :D

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Given f(x) = x − 7 and g(x) = x2 . Find g(f(−1)).
ivann1987 [24]

Answer:

64

Step-by-step explanation:

g(f(-1)) can be found by first finding f(-1) then taking that result and putting it into the function g.

f(-1) means we are going to take the expression x-7 and evaluate it for x=-1:  

-1-7

-8

So f(-1)=-8.

So we have this so far:

g(f(-1))=g(-8)=(-8)^2=64.

g(-8) was found by replacing x in x^2 with -8.

8 0
3 years ago
Use the given information to write an equation and solve the problem.<br> (28-31 in the picture)
tia_tia [17]

Answer:

28. 120 degrees

29. 30 degrees

30. 56 degrees & 124 degrees

31. 72 degrees, 108 degrees, and 18 degrees

Step-by-step explanation:

We assign variable x for the answer we are looking for (28-29).

28.

Supplement means x + y = 180 degrees. We also know x = 2y. Substitution gives us 3y = 180 degrees, so y = 60 degrees and x = 120 degrees.

29.

Complement means x + y = 90 degrees. We are given 2x = y. Substitution brings us 3x = 90 degrees, x = 30 degrees.

30.

Supplement means x + y = 180 degrees. We are told that y = 2x + 12, so we substitute. This gives 3x + 12 = 180 degrees, x = 56 degrees. Substituting that back into the equation for y, we get 124 degrees.

31.

Supplement means x + y = 180 degrees. Complement means x + z = 90 degrees.  Using our given info, we know y = 6z. We can substitute that in to get x + 6z = 180. Subtracting our second and third equations, we get 5z = 90, z = 18 degrees.  Therefore, x = 72 degrees, y = 108 degrees.

3 0
3 years ago
Read 2 more answers
In trapezoid EFGH, EF ≅ HG. What is the measure of the angle between Elm Street and Pine Avenue?
m_a_m_a [10]
Angle E is 72 degrees
6 0
4 years ago
Read 2 more answers
Review: To simplify an expression, combine like terms by adding or
gavmur [86]

Answer:

10b + 2

Step-by-step explanation:

To simplify this expression. 10b + 7 - 3 - 2​ use the sample you demonstrated above to simplify it

10b + 7 -3 -2

combine the like terms

10b + 7 - 5

10b + 2

4 0
4 years ago
Please help will mark BRAINLIEST!!!
stiks02 [169]

Answer:

b, c, a

Step-by-step explanation:

In a triangle, the largest angle is opposite the longest side. The smallest angle is opposite the shortest side.

This triangle has 2 given angles, 50° and 60°.

We can find the measure of the third angle, x.

50 + 60 + x = 180

x + 110 = 180

x = 70

The three angles have measures 50°, 60°, and 70°.

The shortest side is opposite the smallest angle. That is side a.

The longest side is opposite the largest angle. That is side b.

The order from longest to shortest is

b, c, a

6 0
3 years ago
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