G(x) is 0 when x = -3 and 3 so g(x) passes though x axis at x = -3 and x = 3
At x = 0 g(x) = 9 so it also passes through (0,9) and its symmetrical about the y axis The vertex is at (09)
so we can write it as g(x) = a(x - 0)^2 + 9
plugging in the point (2,5) 5 = 4a + 9
4a = -4 so a = -1
and the equation of the parabola is g(x) = -x^2 + 9
Answer:
(x +(-2) ) and ( x+3)
The factors of a given cubic polynomial function are
( x-1) (x -2 ) and (x +3)
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given that x³ - 7x + 6=0
f(x) = x³ - 7x + 6=0
put x=1
f(1) = 1 -7 +6 =0
(x -1 ) is one factor of given polynomial
By using synthetic division
x³ x² x constant
x=1 ║ 1 0 -7 6
<u>║ 0 1 1 -6</u>
<u> 1 1 -6 0</u>
The polynomial ( x² + x - 6) =0
<u><em>Step(ii):-</em></u>
The factors of
x² + x - 6=0
x² + 3x -2x - 6=0
x ( x +3 ) - 2( x +3) =0
(x -2 ) ( x+3 ) =0
x = 2 and x =-3
<u><em>Final answer:-</em></u>
The factors of a given cubic polynomial function are
( x-1) (x -2 ) and (x +3)
Answer:
Term payback = 15 yr = $331527.6 20 yr = $394389.65 rounded up by 0.002. Shows 15 yr is $62862.05 less as result of return 5 yrs earlier.
Step-by-step explanation:
20 yr = $1643.29 at 105% = 82.1645 paid x 12 x 20 = 19719.48 interest + 1561.1257 to loan x 12 x 20 = 374670.168 total with Int at 5%= 394389.648
15 yr=$1841.82.= $1841.82 - 73.6728= 1768.1472 to loan p/m = 20 yr 318266.496 + interest of 73.6728 = 13261.104 total with interest at 4%=331527.6
Answer:
PQ ≈ 9.4 cm
Step-by-step explanation:
Calculate the distance d using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = P(- 4, - 2) and (x₂, y₂ ) = Q(4, 3)
PQ =
=
=
=
≈ 9.4 cm ( to 1 dec. place )