Please help me!!!!!!!!!
32. For all pairs of real numbers M and V where M=3V+6, V=? Here are the choices
F. (M/3)-6
G. ( M/3)+6
H.3m-6
J. M-6/3
K. M+6/3
34. If a=b-2,then (b-a)^4=?
F. -16
G.-8
H.1
J.8
K.16
1. The closest is J, which should read
(M-6)/3
2. a=b-2, then b-a=2 what should be (b-a)^4?
for the second part i got =16 which would be K
To find the value of V, we can substitute the given equation M=3V+6 into each of the answer choices until we find the one that satisfies the equation.
32. M=3V+6, V=?
Let's go through each option one-by-one:
F. (M/3)-6
Substituting M=3V+6, we get (3V+6)/3 - 6 = V + 2 - 6 = V - 4
G. (M/3)+6
Substituting M=3V+6, we get (3V+6)/3 + 6 = V + 2 + 6 = V + 8
H. 3M-6
Substituting M=3V+6, we get 3(3V+6) - 6 = 9V + 18 - 6 = 9V + 12
J. M-6/3
Substituting M=3V+6, we get (3V+6) - 6/3 = V + 2 - 2 = V
K. M+6/3
Substituting M=3V+6, we get (3V+6) + 6/3 = V + 2 + 2 = V + 4
So, the correct answer is option J. V = M-6/3.
Moving on to the next problem:
34. If a=b-2, then (b-a)^4 = ?
Let's substitute a=b-2 into each of the answer choices:
F. -16
Substituting a=b-2, we get (b-(b-2))^4 = (-2)^4 = 16
G. -8
Substituting a=b-2, we get (b-(b-2))^4 = 0^4 = 0
H. 1
Substituting a=b-2, we get (b-(b-2))^4 = 2^4 = 16
J. 8
Substituting a=b-2, we get (b-(b-2))^4 = 4^4 = 256
K. 16
Substituting a=b-2, we get (b-(b-2))^4 = 6^4 = 1296
So, the correct answer is option F. (b-a)^4 = -16.
Sure, I'd be happy to help you solve these problems step by step!
32. For the equation M=3V+6, we want to solve for V. To isolate V, we need to get rid of the 6 and then divide both sides by 3. Here's how you do it:
Step 1: Move 6 to the other side of the equation, changing its sign. So the equation becomes: M - 6 = 3V.
Step 2: Divide both sides by 3 to isolate V. So the equation becomes: (M - 6)/3 = V.
Now that we've rewritten the equation, we can see that the value of V is (M - 6)/3. Therefore, the correct answer is F. (M/3) - 6.
34. For the equation (b-a)^4, we need to substitute the value of a=b-2 into the equation and simplify. Here's how you do it:
Step 1: Replace a with b-2 in the equation. So the equation becomes: (b - (b-2))^4.
Step 2: Simplify the expression inside the parentheses. b - (b-2) simplifies to 2.
Step 3: Now we have (2)^4. To raise 2 to the power of 4, we multiply 2 by itself four times. So (2)^4 = 2 * 2 * 2 * 2 = 16.
Therefore, the correct answer is K. 16.
I hope this helps! Let me know if you have any other questions.