Answer:
g(x) = 7x^2
Step-by-step explanation:
Given a function f(x), the function kf(x) is stretched by a factor of k. In this case, if we stretch the function f(x) = x^2 by a factor of seven, the new function is going to be the base function multiplied by 7, as follows:
g(x) = 7x^2
16<2(3x-1)<28 divide all terms by 2
8<3x-1<14 add 1 to all terms
9<3x<15 divide all terms by 3
3<x<5
x=(3,5) in interval notation
On a number line, it would be a line segment from 3 to 5 with open circles at 3 and 5.
On a coordinate system graph, it would be an infinitely high shaded plane between the vertical lines x=3 and x=5
You wrote the equation wrong- he starts with 9 pencils so that's a constant and he sharpens 11 pencils for every minute. The equation would be 9+11x with x being the amount of minutes, which in this case is 7. So you just substitute and solve.
9+11x
9+11(7)
9+77
86
Hope this helps!
The value of x in f(x)=4 is 4 because the f in f(x) is just 'naming' the equation, saying that x=a number, in this case, 4.