For two functions, m(x) and p(x), a statement is made that m(x) = p(x) at x = 7. what is definitely true about x = 7? both m(x) and p(x) cross the x-axis at 7. both m(x) and p(x) cross the y-axis at 7. both m(x) and p(x) have the same output value at x = 7. both m(x) and p(x) have a maximum or minimum value at x = 7.

Both m(x) and p(x) have the same output value at x = 7.

Step-by-step explanation:

for two functions m(x) and p(x) we know that the solution to the equation :

m(x)=p(x) is the x-value of the point of intersection of the two curves.

i.e. at this point the output value i.e. the value which is obtained on putting the input value i.e. 'x' is same for the two functions m(x) and p(x).

Hence, the correct answer is:

Both m(x) and p(x) have the same output value at x = 7.

none.

step-by-step explanation:

m

1

=

5

m1=5

b

=

−

1

b=-1

find the slope and y-intercept of the second equation.

tap for more

m

2

=

0

m2=0

b

=

−

6

b=-6

compare the slopes

m

m of the two equations.

m

1

=

5

,

m

2

=

0

m1=5,m2=0

compare the two slopes in the decimal form. if the slopes are equal, then the lines are parallel. if the slopes are not equal, then the lines are not parallel.

m

1

=

5

,

m

2

=

0

m1=5,m2=0

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