Answer:
X->-infinite, graph is positive +(infinite)
X-> + infinite, graph is negative (-infinite)
Step-by-step explanation:
When you study end behaviour of a polynomial, you verify it's highest exponent. If it is odd, like this exercise, it's Y values come from negative infinity to positive infinity. If the coefficient is negative, it is the opposite, it comes from positive infinite to negative infinite.
Answer:
70% in favor of building a new playground
<em>3500 (</em><em>in favor</em><em>) + 1500 (</em><em>against it</em><em>) = 5000 (</em><em>total number votes</em><em>)</em>
<em />
<em>3500 (</em><em>in favor</em><em>) 1500 (</em><em>against it</em><em>)</em>
<em> ------------------- = 0.7 / 70% ------------------- =0.3 / 30%</em>
<em>5000 (</em><em>total</em><em>) 5000 (</em><em>total</em><em>) </em>
Answer:
Step-by-step explanation:
step 1
Find the equation of the solid line
From the graph take the points (0,3) and (4,11)
Find the slope
The equation of the solid line in slope intercept form is equal to
we have
----> the y-intercept is the point (0,3)
substitute
therefore
The inequality is
step 2
Find the equation of the dashed line
The slope is given
From the graph take the y-intercept (0,-5)
The equation of the solid line in slope intercept form is equal to
we have
substitute
therefore
The inequality is
because the shaded region is below the dashed line
therefore
The system of inequalities is
Answer:
Step-by-step explanation:
The A
Answer:
It will take 8 minutes for the temperature to reach 76°
Step-by-step explanation:
The expression for the total temperature in degrees at time t can be written as;
T=I+EM
where;
T=total temperature
I=initial temperature
E=temperature increase per minute
M=number of minutes
This can also be written as;
total temperature=initial temperature+temperature increase per minute×number of minutes
In our case;
T=76°
I=40°
E=4.5°
M=m
replacing;
76=40+(4.5×m)
4.5 m=76-40=36
(4.5 m)/4.5=36/4.5
m=8
It will take 8 minutes for the temperature to reach 76°
