Step-by-step explanation:
but that is the easiest of all 4 questions (by far) :
3g(x) + h(x) = 3×(5x² + 3) + 9x² = 15x² + 9 + 9x² = 24x² + 9
which is exactly f(x) = 24x² + 9
so, yes, they are equal.
I really have to wonder, since you correctly solved 1-3, what was the issue with 4. ?
Answer:
The width is 18 feet and the length is 42 feet
Step-by-step explanation:
Let x feet be the width of the patio. The length of the patio is 6 feet longer than twice it’s width, then the length of the patio is 2x+6 feet.
Wayne is hanging a string of lights 78 feet long around the three sides of his patio, which is adjacent to his house. The side with length 2x+6 feet is adjacent to the house, so Wayne is hanging a string along three sides with lengths x ft, x ft and 2x+6 ft.
Hence,

The width
ft
The length
ft
Not sure about the last question
Answer:
and 
Step-by-step explanation:
To solve this, you must set up a system of equations. The first sentence says that there are two numbers and that their sum is 91, so your first equation is
. For the next equation, it says that the difference of those same numbers is 1, which means that the equation is
. Now, putting those two together for the system of equations, it's easiest to add them. The result will be
which when simplified gives you the value of x. Taking the value of x, you can substitute in the second equation to find the value of y.
Hope this helped!
400Million meteres tall
scientific notation: 4×10^8