Answer:
x = 9 , y =3
Step-by-step explanation:
-3x + y = 0 ---- 1
2x -2y = -12 -----2
By elimination method:
let's first eliminate x
we can do that by making x equal in both equations
multiply equation 1 by 2 ( because 2 is the coefficient of x in equation 2 and remember we want to equate both equations)
multiply equation 2 by -3 ( because -3 is the coefficient of x in equation 2 and remember we want to equate them both)
-3x + y = 0 ×2
2x -2y = -12 ×-3
-6x + 2y = 0 ----3
-6x + 6y = 36 -----4
subtract equation 4 from 3
that will give
0-4y = -36
which is
-4y = -36
divide both sides by coefficient of y which is-4
(-4y) ÷ (-4) = (-36)÷(-4)
answer : y= 9
substitute 9 for y in equation 1
-3x + y = 0
-3x + 9 = 0
subtract 9 from both sides
-3x +9-9= 0-9
-3x = -9
divide both sides by coefficient of x which is-3
(-3x)÷(-3) = (-9÷-3)
x = 3
Answer:
30 cm^2
Step-by-step explanation:
the triangle is 36
the rectangle is 6
36-6=30
For this case we must find the inverse of the following function:
For this, we follow the steps below:
We change f (x) to y:
We exchange the variables:
We solve for y:
We divide between 8 on both sides of the equation:
We raise both sides of the equation to the square to remove the root:
So, the inverse is:
ANswer:
Option C
Answer:
$165.8 ;
$223.83 ;
Henry would pay less for the tablet on the website.
Step-by-step explanation:
Given :
Regular price = $829
On website :
80% discount off the regular price :
(100 - 80)% * regular price
20% * 829
0.2 * $829 = $165.8
At store :
70% off regular price :
(100 - 70)% * 829
0.3 * 829
= $248.7
10% off sale price :
(100 - 10)% * $248.7
0.9 * 248.7
= $223.83
Henry would pay less for the tablet on the website.
Answer:
y - 1 = - 4(x + 3)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = - 4 and (a, b) = (- 3, 1), hence
y - 1 = - 4(x - (- 3)), thus
y - 1 = - 4(x + 3) ← in point- slope form
