X 8.4.AP-3 Question Help
During one game, the punter of a team was called upon to punt the ball 8 times. On one of these punts, the punter struck the ball at his own 30-yard line. The height,
h, of the ball above the field in feet as a function
of time, t, in seconds
can be partially modeled by the following table. Answers parts a through f.
t(sec.)
h(t) (ft.) 2.49 28.77 42.09 46.51 37.59 17.52
a. Sketch a scatterplot of the data using your graphing calculator. Choose the correct graph below.
0
0.6
1.2
1.8
2.4
3.0
O A.
ОВ.
c.
OD
a
a
Q
a
E
(All graphs have the viewing window to, 3, 1] by [0, 50, 101.)
b. Use your graphing calculator to obtain a quadratic regression function for this data.
h(t)=0
(Use integers or decimals for any numbers in the expression. Round to four decimal places as needed.)

hello from mrbilldoesmath!

answer:

(7 x + 6 y) (49 x^2 - 42 x y + 36 y^2)

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

a^3 + b^3 =   (a + b) (a^2 - a b + b^2).

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb

the equation of the parallel line would be y = 2x + 9

step-by-step explanation:

to start we need to find the slope of the original line. we can do that by looking at the coefficient of x, which is 2

since the slope of the original line is 2 and parallel lines have the same slope, we know the new line will also have 2 slope. now we can use that along with the point given in point-slope form to get the find equation.

y - y1 = m(x - x1)

y - 5 = 2(x + 2)

y - 5 = 2x + 4

y = 2x + 9

the answer would be 0.54