The common factor of the numbers is 15
(f.g)(x) = f (g(x))= f ( x^4+3)
= (x^4+3)^2 + 2 ( x^4+3) - 6
= x^8 + 9 + 6x^4 + 2x^4 + 6-6
= x^8 + 8x^4+9
Answer:
Because there are many different ways to teach introductory astronomy, we have made the text as flexible as we could. Math examples are shown in separate sections throughout, so that you can leave out the math or require it as you deem best. Each section of a chapter treats a different aspect of the topic being covered; a number of sections could be omitted in shorter overview courses and can be included where you need more depth. And, as we have already discussed, you can customize the book in a variety of ways that have never been possible in traditional textbooks.
Step-by-step explanation:
This book is written to help students understand the big picture rather than get lost in random factoids to memorize. The language is accessible and inviting. Helpful diagrams and summary tables review and encapsulate the ideas being covered. Each chapter contains interactive group activities you can assign to help students work in teams and pool their knowledge.
Answer:
Question 6: 26 crowns plus 15 ribbons.
Question 7: 10 footballs plus 42 basketballs.
Step-by-step explanation:
Question 6 explanation: Since the expression is 22 crowns plus 13 ribbons plus 2 ribbons plus 4 crowns, you can think of the different items as variables in an equation. Picture crowns are the variable , and ribbons as the variable , this will help you solve the equation in an easier way that allows you to comprehend each step better. The equation will now be , in order to find how many (crowns) and (ribbons) you have, you need to combine like terms in the expression. In other words, add the terms with the variable together, and add the terms with the variable together. Simplified, the equation will be . Since the variables and were used to represent crowns and ribbons respectively, that means the correct answer is 26 crowns plus 15 ribbons.
Question 7 explanation: You can use the same method as you did in question 6, think of footballs and basketballs as the variables and respectively. The equation will be = . Since the variable was used to represent footballs and the variable was used to represent basketballs, that means the correct answer would be 10 footballs plus 42 basketballs.
Answer:
x=2.116
Step-by-step explanation:
-4x=x-6
4.58-4x-x=-6
-5x=-6-4.58
-5x=-10.58
x=2.116