Part (a)
Let's replace x with 15 and evaluate to see if he is correct or not.
x/2 - 3 = 6
15/2 - 3 = 6
7.5 - 3 = 6
4.5 = 6
We get a false statement after simplifying everything. We need to get the same number on both sides to get a true statement. Therefore, Ahmed is not correct.
<h3>Answer: No, he is not correct</h3>
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Part (b)
Let's solve for x. We do so by first adding 3 to both sides, and then multiplying both sides by 2. This follows PEMDAS in reverse, undoing everything to isolate the variable.
x/2 - 3 = 6
x/2 = 6+3 .... add 3 to both sides
x/2 = 9
x = 9*2 .... multiply both sides by 2
x = 18 is the answer
As a check, we'll use the same idea as part (a)
x/2 - 3 = 6
18/2 - 3 = 6
9 - 3 = 6
6 = 6
We get a true statement this time. This confirms x = 18
<h3>Answer: x = 18</h3>
Answer:
20.5
Step-by-step explanation:
Answer:
I think the scale factor is 2 because 12 divided by 6 is 2.
Answer:
2 times 10 plus 4 times 10!
Step-by-step explanation:
Answer:
The linear approximation of B(t) at t = 2.2 estimates B(t) = 9 for t = 2.8328
Step-by-step explanation:
b'(2.2) = 8 * e^(0.2cos(2.2)) = 7.1117 and b(2.2) = 4.5. The linear approximation of B(t) at t = 2.2 is
L(t) = 7.1117*(t-2.2) + 4.5
We want t so that L(t) = 9
9 = 7.1117*(t-2.2) + 4.5
4.5 = 7.1117 *(t-2.2)
t-2.2 = 4.5/7.1117 = 0.6327601
t = 2.2+0.6327601 = 2.8328
