Answer:
2x² + 19x + 45
Step-by-step explanation:
(x + 5)(x + 1) + (x + 5)(x + 8) ← expand both sets of factors using FOIL
= x² + 6x + 5 + x² + 13x + 40 ← collect like terms
= 2x² + 19x + 45
I would recommend "Introduction to Linear Algebra," by Gilbert Strang. It is a compact but very helpful textbook reference written by a well-known MIT professor. There is a corresponding online MIT course that is free, so that's a bonus. I am currently using it to study linear algebra with no class or previous experience, and I think it does a solid job of explaining things. Each section in the book has a set of questions for you to work through, and answers to selected questions appear in an appendix at the end of the book.
Hope this helps!
Answer:
b=-1
Step-by-step explanation:
-7+b=-8
Add 7 to each side to isolate b
-7+7+b=-8+7
b = -1
You will need 6 cups of sugar.
Step - by - Step Explanation
What to find? <em>The number of cups of sugar needed to make a cake with 12 cups of flour.</em>
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Given:
Cups of flours = 4
Cups of sugar = 2
Cups of flour =12
Let x be the number of cups of sugar needed to make a cake with 12 cups of flour.
Using proportion;
4 cups of flour = 2 cups of sugar
12 cups of flour = x
Cross - multiply
4x = 24
Divide both-side of the equation by 4

x =6
Hence, you will need 6 cups of sugar.
Answer:
1. -7
2. 212
3. -49
4.-1,991
5. 78
6. -16
7. 2
8. 100
9. 16
10. 16
11. 13
12. 75
13. |12| = 12
14.|12| = 12
15. |8|
16.| 10|
17.15
18. 1,400
Step-by-step explanation: