Answer:
$20.
Step-by-step explanation:
Given:
In the clip from the Simpsons, Ralph charges Bart twice the fair from Tucson to Flagstaff, minus 2/3 the fair from Albuquerque to El Paso.
It costs $40 to travel from Tucson to Flagstaff,
And $90 to travel from Albuquerque to El Paso.
Question asked:
How much does Bart need to pay ?
Solution:
Fair to travel from Tucson to Flagstaff = $40
Fair to travel from Albuquerque to El Paso = $90
<u>As Ralph charges Bart twice the fair from Tucson to Flagstaff, minus 2/3 the fair from Albuquerque to El Paso. </u>
Thus, Bart need to pay $20.
Answer: 35 advance, 30 same day
Step-by-step explanation:
$35 * A + $15 * S = $1675
A + S = 65 So. A = 65 - S
Plug in for A:
35(65-S) + 15S = 1675
2275 - 35S + 15S = 1675
-20S = -600
S = 30 same day tix
A = 35 advance tix
Answer:
29° ; 61°
Step-by-step explanation:
Let one angle = x°
Other angle = (x + 32)°
x + x + 32 = 90 {given they are complementary}
2x + 32 = 90
2x = 90 -32
2x = 58
x = 58/2
x = 29
One angle = 29°
Other angle = 29 + 32 = 61°
Discriminant D is given by:
D=b²-4ac
Implication of discriminant is as follows:
D<0 two zeros that are complex conjugate
D=0 one real zero of multiplicity 2
D>0 two distinct real zers
D= (+ve perfet square) two distinct rational zeros
From:
12x^2+10x+5=0
plugging in the equation we get:
10²-4×12×5
=100-240
=-140
thus
D<0
Answer is:
<span>A two irrational solutions </span>
(x+2)(x+8)(x+k)=x^3+9x^2+6x-16
(x^2+10x+16)(x+k)=x^3+9x^2+6x-16
x^3+10x^2+16x+kx^2+10kx+16k=x^3+9x^2+6x-16
kx^2+10kx+16k=-x^2-10x-16
k(x^2+10x+16)=-x^2-10x-16
k=(-x^2-10x-16)/(x^2+10x+16)
k=-1
so the width is (x-1)
