1/3 of 30 would be 10. So 10 students walk to school.
The answer for this problem is -8x+2
Step-by-step explanation:
a) 24.7×52.3=1291.81
On rounding off to 3 significant digits we get
1290
b)
=31.304951
On rounding off to 5 significant figures we get
=31.305
c)
![\sqrt[3]{78} = 4.27265](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B78%7D%20%20%3D%204.27265)
On rounding off to 2 significant figures we get
=4.3
Hence required answers
a)1290
b)31.305
c)4.3
I hope it helped you
The inverse of the function are respectively; f⁻¹(3) = 2 and f⁻¹(8) = 8.5
<h3>How to find the inverse of a Function?</h3>
The formula to find the equation of this function using two coordinates is;
(y - y1)/(x - x1) = (y2 - y1)/(x2 - x1)
Using the first 2 coordinates, we have;
(y - 1)/(x + 1) = (3 - 1)/(2 + 1)
(y - 1)/(x + 1) = 2/3
3y - 3 = 2x + 2
3y = 2x + 5
y = ¹/₃(2x + 5)
Thus, the inverse is;
f⁻¹(x) = (3x - 5)/2
Thus;
f⁻¹(3) = (3*3 - 5)/2
f⁻¹(3) = 2
Similarly;
f⁻¹(x) = (3x - 5)/2
Thus;
f⁻¹(8) = (3*8 - 5)/2
f⁻¹(8) = 8.5
Read more about Inverse of a Function at; brainly.com/question/11735394
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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
