soniamantilla1113
Answered

Explore Westonci.ca, the top Q&A platform where your questions are answered by professionals and enthusiasts alike. Get detailed and precise answers to your questions from a dedicated community of experts on our Q&A platform. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

Evaluate the expression when [tex]\( x = -3 \)[/tex].

1. [tex]\( 3x^2 - 6 \)[/tex]
2. [tex]\( 2x^2 - 6x + 1 \)[/tex]
3. [tex]\( -x^2 - 5x - 1 \)[/tex]
4. [tex]\( x^2 + 3x + 8 \)[/tex]
5. [tex]\( -2x^2 + 4x + 3 \)[/tex]
6. [tex]\( -3x^2 - 6 - x \)[/tex]

Sagot :

GinnyAnswer
Let's evaluate each expression step-by-step when [tex]\( x = -3 \)[/tex].

### Expression 39: [tex]\( 3x^2 - 6 \)[/tex]
1. Substitute [tex]\( x = -3 \)[/tex].
2. Compute [tex]\( (-3)^2 = 9 \)[/tex].
3. Multiply by 3: [tex]\( 3 \times 9 = 27 \)[/tex].
4. Subtract 6: [tex]\( 27 - 6 = 21 \)[/tex].

So, [tex]\( 3x^2 - 6 \)[/tex] evaluates to 21 when [tex]\( x = -3 \)[/tex].

### Expression 40: [tex]\( 2x^2 - 6x + 1 \)[/tex]
1. Substitute [tex]\( x = -3 \)[/tex].
2. Compute [tex]\( (-3)^2 = 9 \)[/tex].
3. Multiply by 2: [tex]\( 2 \times 9 = 18 \)[/tex].
4. Compute [tex]\( -6 \times (-3) = 18 \)[/tex].
5. Add these results along with 1: [tex]\( 18 + 18 + 1 = 37 \)[/tex].

So, [tex]\( 2x^2 - 6x + 1 \)[/tex] evaluates to 37 when [tex]\( x = -3 \)[/tex].

### Expression 41: [tex]\( -x^2 - 5x - 1 \)[/tex]
1. Substitute [tex]\( x = -3 \)[/tex].
2. Compute [tex]\( (-3)^2 = 9 \)[/tex].
3. Multiply by -1: [tex]\( -9 \)[/tex].
4. Compute [tex]\( -5 \times (-3) = 15 \)[/tex].
5. Add these results along with -1: [tex]\( -9 + 15 - 1 = 5 \)[/tex].

So, [tex]\( -x^2 - 5x - 1 \)[/tex] evaluates to 5 when [tex]\( x = -3 \)[/tex].

### Expression 42: [tex]\( x^2 + 3x + 8 \)[/tex]
1. Substitute [tex]\( x = -3 \)[/tex].
2. Compute [tex]\( (-3)^2 = 9 \)[/tex].
3. Compute [tex]\( 3 \times (-3) = -9 \)[/tex].
4. Add these results along with 8: [tex]\( 9 - 9 + 8 = 8 \)[/tex].

So, [tex]\( x^2 + 3x + 8 \)[/tex] evaluates to 8 when [tex]\( x = -3 \)[/tex].

### Expression 43: [tex]\( -2x^2 + 4x + 3 \)[/tex]
1. Substitute [tex]\( x = -3 \)[/tex].
2. Compute [tex]\( (-3)^2 = 9 \)[/tex].
3. Multiply by -2: [tex]\( -2 \times 9 = -18 \)[/tex].
4. Compute [tex]\( 4 \times (-3) = -12 \)[/tex].
5. Add these results along with 3: [tex]\( -18 - 12 + 3 = -27 \)[/tex].

So, [tex]\( -2x^2 + 4x + 3 \)[/tex] evaluates to -27 when [tex]\( x = -3 \)[/tex].

### Expression 44: [tex]\( -3x^2 - 6 - x \)[/tex]
1. Substitute [tex]\( x = -3 \)[/tex].
2. Compute [tex]\( (-3)^2 = 9 \)[/tex].
3. Multiply by -3: [tex]\( -3 \times 9 = -27 \)[/tex].
4. Subtract 6: [tex]\( -27 - 6 = -33 \)[/tex].
5. Add [tex]\( -x \)[/tex] which is [tex]\(-(-3) = 3 \)[/tex]: [tex]\( -33 + 3 = -30 \)[/tex].

So, [tex]\( -3x^2 - 6 - x \)[/tex] evaluates to -30 when [tex]\( x = -3 \)[/tex].

Therefore, the evaluated expressions are:
39. [tex]\( 3x^2 - 6 = 21 \)[/tex]
40. [tex]\( 2x^2 - 6x + 1 = 37 \)[/tex]
41. [tex]\( -x^2 - 5x - 1 = 5 \)[/tex]
42. [tex]\( x^2 + 3x + 8 = 8 \)[/tex]
43. [tex]\( -2x^2 + 4x + 3 = -27 \)[/tex]
44. [tex]\( -3x^2 - 6 - x = -30 \)[/tex]
Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.