Arrange these numbers from least to greatest: 2 over 5 comma text end text − 3 over 7 comma text end text 2 over 3.

a.
2 over 5 comma text end text − 3 over 7 comma text end text 2 over 3

b.
− 3 over 7 comma text end text 2 over 5 comma text end text 2 over 3

c.
− 3 over 7 comma text end text 2 over 3 comma text end text 2 over 5

d.
2 over 5 comma text end text 2 over 3 comma text end text text ​ end text − 3 over 7

i'll go through the list of possible answers. anything marked as true i'll highlight in bold

choice a) the graph has a minimum. this is true. this is because there is a lowest point at the vertex (-1,-9)

choice b) the graph has a maximum. false. a parabola can have a min or a max but not both at the same time. choice a is true, so this contradicts choice b. the graph goes on forever upward so there is no highest point.

choice c) the graph has zeros at -4 and 2. this is true. the term "zeros" may be confusing. i like to think of them as x intercepts or roots. this is where the graph crosses or touches the x axis. they solve the equation f(x) = 0.

choice d) the vertex is located at (-1,-9). this is true. this is the lowest point of the graph. it's also where the axis of symmetry is located.

choice e) the graph has y intercepts at (-4,0) and (2,0). this is false. the parabola only crosses the y axis one time and it is at the location (0,-8) which is the y intercept. we can also say "the y intercept is -8". see choice g below. note that any function will have only y intercept. if it has more than one y intercept, then it won't be a function anymore because it fails the vertical line test.

choice f) the solution of the parabola is (-1,-9). false. a solution is another term for root or x intercept. it's where the graph crosses the x axis. in other words, it's the set of x values that make f(x) = 0 true. in this case, x = -4 and x = 2 do the trick. the vertex is not considered a solution point unless the vertex is on the x axis.

choice g) the y intercept is (0,-8). true. the graph crosses the y axis here. see choice e above.

answer:

21.6 is the payment amount from mom to emily

step-by-step explanation:

proportion

payment / unit distance =   total payment/total distance

givens

solution

0.9/0.75 = x / 18               multiply both sides by 18

0.9 * 18/0.75 = x * 18/18   simplify.

16.2 / 0.75   =   x                 simply the left

21.60 = x

answer:

27/ (3+6) x 5 - 12

27/9 x 5 - 12

3 x 5 - 12

15 - 12

3

step-by-step explanation:

pemdas. do what is in parenthesis first, then divide/multiply, reading from left to right, then add/subtract reading from left to right.