What is the solution to this equation? 3(a−4)+1=9−a a = 3 a = 5 a = 6 a = 10

Equation: 3(a-4)+1=9-a

First, distribute.

3a-12+1=9-a

Combine like terms (12+1).

3a-13=9-a

Add a to both sides.

4a-13=9

Add 13 to both sides.

4a=22

Divide both sides by 4.

a=5.5

Your answer would be a=5.

I hope this helps :)

Answer,

Explanation,

Step 1: Simplify both sides of the equation

3(a−4) + 1 = 9 − a

(3)(a) + (3)(-4) + 1 = 9 + -a  (Distribute)

3a + − 12 + 1 = 9 + − a

(3a) + (−12 + 1) = − a + 9  (Combine Like Terms)

3a + −11 = −a + 9

3a − 11 = − a + 9

Step 2: Add a to both sides

3a − 11 + a = −a + 9 + a

4a − 11 = 9

Step 3: Add 11 to both sides

4a − 11 + 11 = 9 + 11

4a = 20

Step 4: Divide both sides by 4

4a/4 = 20/4

a = 5

Hope this helps :-)

first option

a function is a relation in which an input is paired with exactly one output.

so, let's find the right answer.

in our first option, our inputs are january, february, and march. the outputs are 30, 28, and 25. each input has it's own output. this is correct!

our second option we know is incorrect, because ms. valverade has two outputs, dogs and cats. this is not a function.

our third option is incorrect as well. the yellow square has two ouputs, the square and the triangle.

lastly, in our fourth option, we see the number 7 two times with a different output. therefore, this is not a function.

remember: each input must be paired with only one output!