On a coordinate plane, a piecewise function has 2 lines. the first line has a closed circle at (negative 4, negative 4) and goes up to an open circle at (negative 1, 2). the second line has a closed circle at (negative 1, 3), continues horizontally to (1, 3), and then goes down to a closed circle at (4, 0).
what is the value of h(3)?
–2
–1
1
2

1

Step-by-step explanation:

The last part of the line starts from (1,3) and goes to (4,0)

We have two points, so we figure out the equation of this line with the formula:

y = mx + b, where m is the slope and b is the y intercept

m =

m =

So we can now write  y = -x + b

Plugging in a point (1,3), we get:

3 = -1 + b

b = 3+1 = 4

The equation is y = -x + 4

To find h(3), we substitute 3 into x and find the value of y:

y = -x + 4

y = -3 + 4

y = 1

Thus, h(3) = 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.

a

step-by-step explanation:

when a number is between two straight lines it means the absolute value.

to find absolute value you need to know how many numbers is that number away from 0.

when finding absolute value the number will always come out positive

so absolute value of -3 is 3

absolute value of 3/2 is 3/2

absolute value of -2 is 2

absolute value of 3.5 is 3.5

absolute value of -1 is 1

now put these numbers in order:

a)   |-1|, |3/2|, |-2|, |-3|, |3.5|