Answer:
3. [1, −2]
2. [−3, 3]
1. [−7, 10]
Step-by-step explanation:
3.
{7⁄2x - ½y = 9⁄2
{3x - y = 5
-6⁄7[7⁄2x - ½y = 9⁄2]
{−3x + 3⁄7y = −3 6⁄7 >> New Equation
{3x - y = 5
_________________
-4⁄7y = 1 1⁄7
-2 = y [Plug this back into both equations above to get the x-coordinate of 1]; 1 = x
__________________________________________________________
2.
{−3x + 9y = 36
{4x + 12y = 24
¾[4x + 12y = 24]
{−3x + 9y = 36
{3x + 9y = 18
______________
18y = 54
___ ___
18 18
y = 3 [Plug this back into both equations above to get the x-coordinate of −3]; −3 = x
__________________________________________________________
1.
{4x − y = −38
{x + y = 3
_____________
5x = -35
___ ____
5 5
x = -7 [Plug this back into both equations above to get the y-coordinate of 10]; 10 = y
I am joyous to assist you anytime.
Y=90x+2,000
90 is the rate of change because the hot air balloon descends 90 feet per minute.
And 2,000 is the starting point because the hot air balloon started the descent at 2,000 feet.
(-4,4) , (2,1)
slope=(y2-y1)/(x2-x1)
slope=m =(4-1)/(-4-2)=-3/6=-1/2
(y-y1)=m(x2-x1)
y-4=-1/2(x+4)
y-1=-1/2(x-2)
A,F
Answer:
Total taxes = $1,520
Step-by-step explanation:
We have two separate calculations for the taxes:
The tax rate for the first $5,000 of Clarisa's gross pay is 1%, so the amount of tax paid in this case is
1% * 5000 = $50
The tax rate for the amount of value over $5,000 (that is, 54,000 - 5,000 = 49,000) is 3%, so the amount of tax is:
3% * 49,000 = $1,470
So, the total amount deducted for state taxes is:
Total taxes = 50 + 1470 = $1,520
