<u>Find the equation of the graph:</u>
General Equation : y = mx + b
.
Given that the gradient is 1.45
<u>Sub m = 1.45:</u>
y = 1.45x + b
.
<u>Find b:</u>
Given that x = 23, y = 48.31:
48.31 = 1.45(23) + b
b = 14.96
.
<u>Equation of the graph:</u>
y = 1.45x + 14.96
.
<u>When x = 18:</u>
y = 1.45(18) + 14.96 = $41.06
.
Answer: $41.06
Multiply both sides by -3 to get rid of the negative and the fraction.
X - 3 = 21
Move the constants over to isolate the variable
X = 24
Answer:
About 733.04 feet
Step-by-step explanation:
Volume of Cone is given by the formula 
Where
- V is the volume
- r is the radius
- h is the height
Given height as 7 ft, and radius is 10 feet (Radius is half of diameter(20))
<em>Substituting into formula, we get:</em>
ft
a
0
=
4
a
i
=
a
i
−
1
+
7
XXXX
possibly with the restriction 1<=i<=4 if this is not intended to be a continuous sequence
Explanation:
This is a simple arithmetic sequence with a difference of
7
between ascending sequence terms.
Answer:
The answer is the option D
and 
Step-by-step explanation:
we have


we know that
The solution of the system of equations is the intersection point both graphs
Using a graphing tool
see the attached figure
The solution are the points
and 
therefore
The solution of the equation
are

so
For 



For 


therefore
and
because the intersection points are common points for both graphs