Answer:
-1/3
Step-by-step explanation:
Slope is rise over run. Every 3 units to the left, it rises 1 unit, so the slope is -1/3.
Answer:
The linear model means that there is a uniform increase and in this case of US population from 92 million people in 1910 to 250 million people in 1990
.
This means an increase of 250
−
92
=
158 million in 1990
-1910
=
80 years or
158
80
=
1.975 million per year and in x years it will become 92
+
1.975
x million people. This can be graphed using the linear function 1.975
(
x
−
1910
)
+
92
,
graph{1.975(x-1910)+92 [1890, 2000, 85, 260]}
The exponential model means that there is a uniform proportional increase i.e. say p
% every year and in this case of US population from 92 million people in 1910 to 250 million people in 1990
.
This means an increase of 250
−
92
=
158 million in 1990
−
1910
=
80 years or
p
% given by 92
(
1
+
p
)
80
=
250 which gives us (
1
+p
)
80
=
250
92 which simplifies to p
=
(
250
92
)
0.0125
−
1
=
0.0125743 or 1.25743
%
.
This can be graphed as an exponential function 92
×
1.0125743
(
x
−
1910
)
, which gives population in a year y and this appears as
graph{92(1.0125743^(x-1910)) [1900, 2000, 85, 260]}
Step-by-step explanation:
Hope this helps
Answer:
x=12
Step-by-step explanation:
Before starting this question, you need to know that the total degree of any given triangle is 180 degrees.
Now looking at the question, we know one side is 90 degree since it is a right triangle.
180-90=90
This let us know that the remaining two angles will have to add up to equal to 90 degrees.
2x+1+5x+5=90
First, combine like terms.
7x+6=90
Now we have to get x by itself, subtract 6 on both sides then divide by 7.
7x=84
x=12
Since all triangles r equal to 180°
123+41= 164
180-164=16
the measure of the third angle of the triangle is 16°
Answer:2(x+2)(x+3)
Step-by-step explanation:
First we have to take out the 2 in the equation
2(x^2+5x +6)
Then we can factor that
2(x+2)(x+3)
