Answer:
g(x) = log(x+1) + 4
Step-by-step explanation:
If a curve has been translated (shifted or slid) you can add to or subtract from the x to show horizontal (left or right) shifts and add or subtract a number tacked onto the end of the equation to cause the vertical shift (up or down).
The curve for g(x) is shifted left 1 unit. So change the x to x+1. Left and right shifts are a little backwards from what you might think. But left shift is a +1.
Vertical shifts adjust the way you would think they should. UP shift 4 units is a +4 on the end of the equation. See image.
Width of the miniature model =
inches
Length of the miniature model =
inches
The actual width of the boat = 15 feet
Let us find the actual length of the boat.
Write it in a proportion form.
width of model : length of model : : width of actual : length of actual



Do cross multiplication.



⇒ x = 22
Hence the actual length of the boat is 22 feet.
Answer: Under the given option, the following is true of algorithms and heuristics for solving real-life problems: <u><em>Heuristics are shortcut strategies. </em></u>
Algorithms are known as step by step plan of action for resolving a issue. It leads to a specific solution, methodically.
whereas;
Heuristics are known as short‐cut, step‐saving reasoning scheme or generalization that bring forth a solution speedily but possibly with an error.
<u><em>Therefore, the correct option is (a)</em></u>
Answer:
f(9)= -72
g(-9)= 225
Step-by-step explanation:
First put the original equation
f(x)=-7x-9
Next plug in the number f(9)
f(9)=-7(9)-9
After multiply -7(9) which gets you -63
f(9)=-63-9
Then subtract -63-9 which gets you -72
f(9)=-72
-----------------------------------------------------------
First put the original
g(x)=6x3-23x
Next plug in the number g(-9)
g(-9)=6x3-23(-9)
After multiply 6x3 which gives you 18 then multiply -23(-9)
g(-9)=18+207
then add 18+207 which gives you 225
g(-9)=225