The y-intercept is (0,12), or just 12, hope this helps
To answer your question, this could be the possible answer and i hope you understand and interpret it correctly:
<span>[Integrate [0, 1/2] xcos(pi*x
let u=x so that du=dx
and v=intgral cos (xpi)dx
v=(1/pi)sin(pi*x)
integration by parts
uv-itgral[0,1/2]vdu just plug ins
(1/pi)sinpi*x]-(1/pi)itgrlsin(pi*x)dx from 0 to 1/2
(1/pi)x sinpi*x - (1/pi)[-(1/pi) cos pi*x] from 0 to 1/2
=(1/2pi)+(1/pi^2)[cos pi*x/2-cos 0]
=1/2pi - 1/2pi^2
=(pi-2)/2pi^2 ans</span>
x=-3, y=1
Step-by-step explanation:
Given equations are:
2x-3y=-9 Eqn 1
x+y = - 2 Eqn 2
From eqn 2:
Putting x=-y-2 in eqn 1
Hence,
x=-3, y=1
Keywords: Linear equations, Variables
Learn more about linear equations at:
#LearnwithBrainly
Answer:
the number is 24
Step-by-step explanation:
10 less than two thirds the number is one fourth the number
Let the unknown number be x
two third of the number is
10 less than two third the number becomes
one fourth the number becomes
10 less than two thirds the number is one fourth the number
We need to solve for x
LCD is 3*4 = 12
Multiply the whole equation by 12
8x - 120 = 3x
add 120 on both sides
8x = 3x + 120
Subtract 3x on both sides
5x = 120
divide by 5 on both sides
x= 24
Answer:
$0.10/pencil
Step-by-step explanation:
Find the unit cost. To do this, divide $1.25 by 12 pencils, obtaining:
$1.25
---------------- = $0.1042/pencil, or (more logically) $0.10/pencil
12 pencils