I think this is what you are looking for:
=−12
a
b
=
−
12
+=4
a
+
b
=
4
(+)2=42
(
a
+
b
)
2
=
4
2
2+2+2=16
a
2
+
b
2
+
2
a
b
=
16
∴2+2=16+2×12=40
∴
a
2
+
b
2
=
16
+
2
×
12
=
40
Now, (−)2=2+2−2=40+2×12=64
(
a
−
b
)
2
=
a
2
+
b
2
−
2
a
b
=
40
+
2
×
12
=
64
∴(−)=64‾‾‾√=±8
∴
(
a
−
b
)
=
64
=
±
8
So, 2−2=(+)(−)
a
2
−
b
2
=
(
a
+
b
)
(
a
−
b
)
2−2=(4)(±8)=±32
a
2
−
b
2
=
(
4
)
(
±
8
)
=
±
32
Hope that helps and sorry if it is confusing!
Y=mx+b
Find slope:
4,4
X1 y1
-4 -1
X2 y2
Y2-y1 divided by x2-x1 is the slope equation
-1-4 divided by -4-4= -5/8
To find b(the y intercept)
Y-y1=m(x-x1)
Y-4=-5/8(x-4)
Solve this equation to get your y intercept:
This is your answer:
Y=-5/8+6.5
Hope I helped :)
Answer:
<h3>Part A: Function type</h3>
Car 1 . Exponential function
<u>The value ratios are constant:</u>
- 40500/45000 = 36450/4050 = 32805 /36450= 0.9
Car2. Linear function
<u>The value differences are constant:</u>
- 45000 - 42000 = 42000 - 39000 = 39000 - 36000 = 3000
<h3>Part B: Equations</h3>
<u>Car 1</u>
<u>Car 2</u>
<h3>Part C: Value after 13 years</h3>
<u>Car 1</u>
- f(13) = 45000*0.9¹³ = $11438
<u>Car 2</u>
- f(13) = 45000 - 3000*13 = $6000
Car 1 will have a greater price