Situation 1:

f
(
x
)
=
14
x
−
12
f(x)=14x−12
g
(
x
)
=
7
x
2
−
3
x
−
11
g(x)=7x2−3x−11

mark is asked to find
(
g
−
f
)
(
x
)
.
(g−f)(x).
this is his work:

14
x
−
12
−
7
x
2
−
3
x
−
11
−
7
x
2
+
11
x
+
23
14x−12−7x2−3x−11−7x2+11x+ 23

find mark's mistakes (there are more than one). explain what he did wrong and how to fix it.

+25 = x

step-by-step explanation:

here x is the hypotenuse of a right triangle whose legs are 7 and 24.   by the pythagorean theorem, 7² + 24² must equal x²:

x² = 49 + 576 = 625.   thus, x = +√625 = +25 = x

y > 1/3x

y < = -x + 4

hope this : )

no i do not : ( what is it?

the number of possible outcomes that do not show a 1 on the first spinner and show the number 4 on the second spinner is 2.

spinner 1 spinner 2

1                     1

1                     2

1                     3

1                     4

2                   1

2                   2

2                   3

2                   4   = not 1, and 4

3                   1

3                   2

3                   3

3                   4 = not 1, and 4

only 2 outcomes have passed the given condition.

step-by-step explanation: