Try this suggested option:
Step-by-step explanation:
f(x)=2(2x²+4x)+3; ⇔
f(x)=4(x²+2x)+3; ⇔
f(x)=4(x²+2x+1)+3-4; ⇔
f(x)=4(x+1)²-1; ⇔
f(x)=(2x+1)(2x+3).
Then the roots are:
![\left[\begin{array}{ccc}x=-1.5\\x=-0.5\end{array}.](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dx%3D-1.5%5C%5Cx%3D-0.5%5Cend%7Barray%7D.)
Answer:
2
Step-by-step explanation:
Given f(x) = x + 1 and g(x) = -2x + 5, find f(g(2)).
First, we must plug in the value of g(x) into f(x).
f(g(x)) = (-2x+5) + 1
Then, we plug in g(x)'s x-value.
f(g(2)) = (-2(2) + 5) + 1
Now, we solve.
f(g(2)) = (-4 + 5) + 1
f(g(2)) = 1 + 1
f(g(2)) = 2
Answer:
5.99 feet.
Step-by-step explanation:
If the radius of the base of a right cylinder is r and its length is l, then the volume of the cylinder will be
Now, it is given that the volume(V) of the cylindrical tank is 2279.64 cubic feet and radius(r) of its base is 11 feet.
Therefore, the equation for getting the length(l) is
⇒
feet.
So, the length of the tank is 5.99 feet. (Answer)
Y=3*x+38,
where 38 is our start value, that is y(0)=38, and x is the number of hours.
Answer: She needs 130 of string .
Step-by-step explanation:
Given: Length of each ballon string = 6 feet
Total number of ballons = 65
Total string required = ( Length of each ballon string) x (Total number of ballons)
= 6 x 65
= 390 feet
Since 1 foot =
yard
So, ![390\ feet = 390\times\frac13\ yards](https://tex.z-dn.net/?f=390%5C%20feet%20%3D%20390%5Ctimes%5Cfrac13%5C%20yards)
= 130 yards
Hence, She needs 130 of string .