Answer: The slope is −2/3
Step-by-step explanation:
2
x
+
3
y
=
12 is the standard form for a linear equation. To determine the slope, solve the equation for y in order to convert to the slope-intercept form y
=
m
x
+
b
, where m is the slope and b is the y-intercept.
2
x
+
3
y
=
12
Subtract 2
x from both sides.
3
y
=
−
2
x
+
12
Divide both sides by
3
.
y
=
−
2
/3
x
+
12
/3
=
y
=
−
2
/3
x
+
4
The slope is
−
2
/3
one pump, let's call it A, fills the reservoir by 1/60 every hour. Now, B fills it by 1/80 every hour. C empties it by 1/90 every hour. All three are on, so now we combine them into one function: t(1/60 + 1/80 - 1/90) = 1, where t = the time it takes to fill it, and 1 is just our "reservoir finally filled" marker.
isolate t onto one side and we see t = 720/13 exactly, or approximately 55.38 hours. let me know if this is the wrong answer but I'm pretty sure it is correct!
For this case we must solve the following quadratic equation:
Where:
The solution is given by:
Substituting:
Thus, we have two roots:
ANswer:
the Venn diagram below, which statement must be true? If a number is an irrational number, it must also be a rational number. All integers are also whole numbers. All integers are also rational numbers. All natural numbers are irrational numbers.-by-step explanation:
