Bryan was given the equation y= -5x+3. he says the rate of change is 3 and the initial value is -5. is bryan correct? if not, correct his error.

Correct rate of change is -5; correct initial value is 3.

Step-by-step explanation:

The rate of change is the coefficient of the x term, which here is -5.  So Bryan has the rate of change wrong.

The initial value of the function is found by letting x  =  0.  Here, we get

y = -5(0) + 3, or y = b = 3.  The initial value is 3, not -5.

i think it might be a but you might want a second opinion

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