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Mice21 [21]
2 years ago
7

Can you slove this 6=2(y+2)

Mathematics
1 answer:
Lisa [10]2 years ago
6 0

Answer:

y=1

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

6=2(y+2)

6=(2)(y)+(2)(2)(Distribute)

6=2y+4

Step 2: Flip the equation.

2y+4=6

Step 3: Subtract 4 from both sides.

2y+4−4=6−4

2y=2

Step 4: Divide both sides by 2.

2y/2  2/2

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Determine whether the statements are True or False. Justify your answer with an explanation.
frez [133]

Problem 1

<h3>Answer: False</h3>

---------------------------------

Explanation:

The notation (f o g)(x) means f( g(x) ). Here g(x) is the inner function.

So,

f(x) = x+1

f( g(x) ) = g(x) + 1 .... replace every x with g(x)

f( g(x) ) = 6x+1 ... plug in g(x) = 6x

(f o g)(x) = 6x+1

Now let's flip things around

g(x) = 6x

g( f(x) ) = 6*( f(x) ) .... replace every x with f(x)

g( f(x) ) = 6(x+1) .... plug in f(x) = x+1

g( f(x) ) = 6x+6

(g o f)(x) = 6x+6

This shows that (f o g)(x) = (g o f)(x)  is a false equation for the given f(x) and g(x) functions.

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

Problem 2

<h3>Answer: True</h3>

---------------------------------

Explanation:

Let's say that g(x) produced a number that wasn't in the domain of f(x). This would mean that f( g(x) ) would be undefined.

For example, let

f(x) = 1/(x+2)

g(x) = -2

The g(x) function will always produce the output -2 regardless of what the input x is. Feeding that -2 output into f(x) leads to 1/(x+2) = 1/(-2+2) = 1/0 which is undefined.

So it's important that the outputs of g(x) line up with the domain of f(x). Outputs of g(x) must be valid inputs of f(x).

7 0
3 years ago
Which algebraic expression represents this phrase ? The product of 40 and the distance to the finish
erik [133]
The answer to this question is 30
4 0
3 years ago
What are the slope between (-5,-2) and (8,13)​
Cerrena [4.2K]

Answer:

The slope:

m = \frac{15}{13}

Step-by-step explanation:

-To determine the slope of the following points shown, you need this formula:

m = \frac{y_{2} - y{1}}{x_{2} - x_{1}}

(m represents the slope, (x_{1}, y_{1}) represents the first coordinate and (x_{2},y_{2}) represents the second coordinate)

-Apply the following points to the formula:

m = \frac{13 + 2}{8 + 5}

Then, solve:

m = \frac{13 + 2}{8 + 5}

m = \frac{15}{13}

So, the slope is \frac{15}{13}.

8 0
3 years ago
Write the first expression in terms of the second if the terminal point determined by t is in the given quadrant.
Vesnalui [34]

Answer:

Step-by-step explanation:hhhhyg

8 0
3 years ago
What is if you do 3x10
scZoUnD [109]

Answer:

30

Step-by-step explanation:

10 x 3 = 30

6 0
3 years ago
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