True or false: the graph of y=f(bx) is a horizontal compression of the graph y=f(x) if b< 1

The given statement is false.

Step-by-step explanation:

if y = f(x) be a function then the transformation of the type :

y = f(bx) gives a horizontal stretch when 0 < b < 1 and

a horizontal compression when b > 1.

Hence, the given statement that:

The graph of y=f(bx) is a horizontal compression of the graph y=f(x) if b<1 is a false statement.

Also we can consider example of sine function that is we can see the graph of:

and

We could clearly see that the graph of the transformation is a horizontal stretch.

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1

question: how many people can she serve?

answer: she can serve 16.66666667 people. so she can only give 16 people a complete serving.

question: does she have enough ice cream for her guests?

answer: no. explanation: she only has enough for 16 people to have a full serving. however, she can give a 17th person a partial serving.