Answer:
8
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (- 4, 6 ), thus
y = a(x + 4)² + 6
To find a substitute (- 3, 14) into the equation
14 = a(- 3 + 4)² + 6 ( subtract 6 from both sides )
8 = a
Thus the coefficient of the x² term is a = 8
Let's solve your system by substitution.
y
=
−
2
x
+
7
;
y
=
5
x
−
7
Step: Solve
y
=
−
2
x
+
7
for y:
y
=
−
2
x
+
7
Step: Substitute
−
2
x
+
7
for
y
in
y
=
5
x
−
7
:
y
=
5
x
−
7
−
2
x
+
7
=
5
x
−
7
−
2
x
+
7
+
−
5
x
=
5
x
−
7
+
−
5
x
(Add -5x to both sides)
−
7
x
+
7
=
−
7
−
7
x
+
7
+
−
7
=
−
7
+
−
7
(Add -7 to both sides)
−
7
x
=
−
14
−
7
x
−
7
=
−
14
−
7
(Divide both sides by -7)
x
=
2
Step: Substitute
2
for
x
in
y
=
−
2
x
+
7
:
y
=
−
2
x
+
7
y
=
(
−
2
)
(
2
)
+
7
y
=
3
(Simplify both sides of the equation)
Answer: x=2 and y=3
450000 * .08
= 36,000
They reduce $36,000 from the original price.
Multiply her monthly payment by the number of months she paid so far:
567 x 48 = 27,216 paid so far.
Now add the amount she still owes:
27,216 + 1,250 = $28,466 total price.
Answer: x=-2/3
Explanation: Heres what my calculator says!
After you divide it will give you -2/3 :)
