Answer:
g(f(x))=x^2 + 14x + 48
Step-by-step explanation:
you insert (x+7) into every x in the g(x) equation, so g(x)=(x+7)^2 - 1. then you simplify it by doing (x+7)(x+7) which gets you x^2 + 14x + 49. then you subtract the 1 from the equation to get g(f(x))=x^2 + 14x + 48.
The answer would be B, because since there are four quarts in a gallon, we take 1 and 1/2 and revert that back to quarts. That gives us 6. The graph clearly shows two, being B.
Since we want to find the value of <em>k</em><em> </em>where the limit exists, set both equations equal to each other. Then substitute <em>x</em> = -1 in for each equation to find <em>k</em><em>.</em>
<em>
</em>
1. Set both equations equal.

2. Substitute <em>x</em><em> </em>= -1.

3. Solve for <em>k</em><em> </em>by adding <em>k</em><em> </em>to both sides. Continue the process of solving the equation.


Thus, <em>k</em><em> </em>= -2. Check by graphing the function.
Answer:
<em>2.8 + 27.44k</em>
Step-by-step explanation:
<u>Algebraic Simplification</u>
The rules of algebra can be applied in some situations to make expressions simplified or expanded, according to the specific needs of each problem.
We are given the expression:
(1 + 9.8k)(2.8)
It's a sum and a product. We cannot add the independent term with the variable term, so we can only multiply the factor and the contents of the parentheses as follows:
(2.8)1 + (2.8)9.8k
Operating:
2.8 + 27.44k