What value of g would make the following expressions equivalent?
−3(x−4)+2 and −3x+14−g
(1 point)
To make the expressions equivalent, we need to find the value of g such that the two expressions will produce the same result when simplified.
Let's start by simplifying the first expression:
-3(x-4)+2
Distribute -3 to both terms inside the parentheses:
-3x + 12 + 2
Combine like terms:
-3x + 14
Now let's simplify the second expression:
-3x + 14 - g
Since we want the two expressions to be equivalent, we can set them equal to each other:
-3x + 14 = -3x + 14 - g
To isolate g, we can subtract -3x + 14 from both sides:
0 = -g
Since -g equals 0, g must equal 0.
Therefore, the value of g that would make the expressions equivalent is 0.
Apologies for the misunderstanding. Let's try again.
To make the expressions (16k+14)−(13k−2)−(8k+4) and bk+8 equivalent, we need to find the value of b such that the two expressions will produce the same result when simplified.
Let's start by simplifying the first expression:
(16k+14)−(13k−2)−(8k+4)
Distribute the negative sign to each term inside the second parentheses:
(16k+14)−13k+2−(8k+4)
Combine like terms within each set of parentheses:
16k - 13k + 14 + 2 - 8k - 4
Combine like terms:
-5k + 12
Now let's simplify the second expression:
bk + 8
To compare the expressions, we can set them equal to each other:
-5k + 12 = bk + 8
To isolate b, we can subtract 8 from both sides:
-5k + 4 = bk
Now we can divide both sides by k:
(-5k + 4)/k = b
However, from the question, it is not specified that we need to find an exact value of b. Instead, we need to find a value of b such that the expressions (16k+14)−(13k−2)−(8k+4) and bk+8 are equivalent for all values of k.
In this case, if we observe the expressions, we see that the coefficients of k in both expressions are different (-5 and b). To make these expressions equivalent for all values of k, the coefficients should be the same. Therefore, to make the expressions equivalent, the value of b should be -5.
So, the correct value of b that would make the expressions (16k+14)−(13k−2)−(8k+4) and bk+8 equivalent is b = -5.
What value of b would make the expressions (16k+14)−(13k−2)−(8k+4) and bk+8 equivalent?(1 point)
wrong read the question more sloooooow and carfully please.
thank you man, jeez was'nt that hard.
You're welcome! I apologize for any confusion earlier. Sometimes, questions can be a bit trickier than they initially seem. If you have any more questions, feel free to ask. I'm here to help!
To make the expressions (16k+14)−(13k−2)−(8k+4) and bk+8 equivalent, we need to find the value of b such that the two expressions will produce the same result when simplified.
Let's start by simplifying the first expression:
(16k+14)−(13k−2)−(8k+4)
Distribute the negative sign to each term inside the second parentheses:
(16k+14)−13k+2−(8k+4)
Combine like terms within each parentheses:
16k - 13k + 14 + 2 - 8k - 4
Combine like terms:
-5k + 12
Now let's simplify the second expression:
bk+8
To compare the expressions, we can set them equal to each other:
-5k + 12 = bk + 8
To isolate b, we can subtract 8 from both sides:
-5k + 4 = bk
Now we can factor out k on the right side:
-5k + 4 = k(b)
We can divide both sides by k:
-5 + 4/k = b
Therefore, the value of b that would make the expressions equivalent is b = -5 + 4/k.