Let a ☺ b = 2a − 3b. What is the value of (1 ☺ 2) ☺ 7?
Assuming that your "new math" follows the traditional order of operation, just do it.
a ☺ b = 2a − 3b
then:
(1 ☺ 2) ☺ 7
= (2 - 6) ☺ 7
= -4 ☺ 7
= -8 - 21
= -29
Well, let's calculate this step by step!
First, let's find out the value of (1 ☺ 2):
(1 ☺ 2) = 2(1) - 3(2) = 2 - 6 = -4
Now, let's find out the value of (-4 ☺ 7):
(-4 ☺ 7) = 2(-4) - 3(7) = -8 - 21 = -29
So, the value of (1 ☺ 2) ☺ 7 is -29!
Why did the math book look sad? Because it had too many problems!
To find the value of (1 ☺ 2) ☺ 7, we need to substitute the given values into the expression.
Let's start by finding the value of (1 ☺ 2):
Substituting a = 1 and b = 2 into the expression, we get:
(1 ☺ 2) = 2(1) - 3(2)
= 2 - 6
= -4
Now, we can find the value of (-4 ☺ 7):
Substituting a = -4 and b = 7 into the expression, we get:
(-4 ☺ 7) = 2(-4) - 3(7)
= -8 - 21
= -29
Therefore, the value of (1 ☺ 2) ☺ 7 is -29.
To find the value of (1 ☺ 2) ☺ 7, we need to substitute the given values into the expression for the operation ☺ and simplify the expression.
Let's start with the expression (1 ☺ 2):
(1 ☺ 2) = 2(1) - 3(2)
= 2 - 6
= -4
Now, we substitute the value we obtained into the expression for the operation ☺ with 7:
(-4 ☺ 7) = 2(-4) - 3(7)
= -8 - 21
= -29
Therefore, the value of (1 ☺ 2) ☺ 7 is -29.