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Sagot :
Certainly! Let's carefully analyze and solve the problem step by step.
Given the equation for [tex]\( P \)[/tex]:
[tex]\[ P = 2x + 12 \][/tex]
We need to evaluate [tex]\( P \)[/tex] for certain values of [tex]\( x \)[/tex].
### Step 1: Identify the specific values for [tex]\( x \)[/tex]
Let's consider the following values of [tex]\( x \)[/tex]:
1. [tex]\( x = -1 \)[/tex]
2. [tex]\( x = 0.5 \)[/tex]
These values are selected to represent different cases within the interval constraints provided.
### Step 2: Calculate [tex]\( P \)[/tex] for [tex]\( x = -1 \)[/tex]
Substitute [tex]\( x = -1 \)[/tex] into the equation [tex]\( P = 2x + 12 \)[/tex]:
[tex]\[ P = 2(-1) + 12 \][/tex]
[tex]\[ P = -2 + 12 \][/tex]
[tex]\[ P = 10 \][/tex]
Hence, for [tex]\( x = -1 \)[/tex], the value of [tex]\( P \)[/tex] is [tex]\( 10 \)[/tex].
### Step 3: Calculate [tex]\( P \)[/tex] for [tex]\( x = 0.5 \)[/tex]
Substitute [tex]\( x = 0.5 \)[/tex] into the equation [tex]\( P = 2x + 12 \)[/tex]:
[tex]\[ P = 2(0.5) + 12 \][/tex]
[tex]\[ P = 1 + 12 \][/tex]
[tex]\[ P = 13 \][/tex]
Hence, for [tex]\( x = 0.5 \)[/tex], the value of [tex]\( P \)[/tex] is [tex]\( 13 \)[/tex].
### Summary
After evaluating the expression [tex]\( P = 2x + 12 \)[/tex] for the given values of [tex]\( x \)[/tex], we have:
- For [tex]\( x = -1 \)[/tex], [tex]\( P = 10 \)[/tex].
- For [tex]\( x = 0.5 \)[/tex], [tex]\( P = 13 \)[/tex].
Thus, the values of [tex]\( P \)[/tex] for the given [tex]\( x \)[/tex] are [tex]\( 10 \)[/tex] and [tex]\( 13 \)[/tex].
Given the equation for [tex]\( P \)[/tex]:
[tex]\[ P = 2x + 12 \][/tex]
We need to evaluate [tex]\( P \)[/tex] for certain values of [tex]\( x \)[/tex].
### Step 1: Identify the specific values for [tex]\( x \)[/tex]
Let's consider the following values of [tex]\( x \)[/tex]:
1. [tex]\( x = -1 \)[/tex]
2. [tex]\( x = 0.5 \)[/tex]
These values are selected to represent different cases within the interval constraints provided.
### Step 2: Calculate [tex]\( P \)[/tex] for [tex]\( x = -1 \)[/tex]
Substitute [tex]\( x = -1 \)[/tex] into the equation [tex]\( P = 2x + 12 \)[/tex]:
[tex]\[ P = 2(-1) + 12 \][/tex]
[tex]\[ P = -2 + 12 \][/tex]
[tex]\[ P = 10 \][/tex]
Hence, for [tex]\( x = -1 \)[/tex], the value of [tex]\( P \)[/tex] is [tex]\( 10 \)[/tex].
### Step 3: Calculate [tex]\( P \)[/tex] for [tex]\( x = 0.5 \)[/tex]
Substitute [tex]\( x = 0.5 \)[/tex] into the equation [tex]\( P = 2x + 12 \)[/tex]:
[tex]\[ P = 2(0.5) + 12 \][/tex]
[tex]\[ P = 1 + 12 \][/tex]
[tex]\[ P = 13 \][/tex]
Hence, for [tex]\( x = 0.5 \)[/tex], the value of [tex]\( P \)[/tex] is [tex]\( 13 \)[/tex].
### Summary
After evaluating the expression [tex]\( P = 2x + 12 \)[/tex] for the given values of [tex]\( x \)[/tex], we have:
- For [tex]\( x = -1 \)[/tex], [tex]\( P = 10 \)[/tex].
- For [tex]\( x = 0.5 \)[/tex], [tex]\( P = 13 \)[/tex].
Thus, the values of [tex]\( P \)[/tex] for the given [tex]\( x \)[/tex] are [tex]\( 10 \)[/tex] and [tex]\( 13 \)[/tex].
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