First, since both of the equations are equal to y you can set the equations equal to each other.
y=-2x +1
y=-2x^2 + 3x +1
-2x + 1= -2x^2 + 3x + 1
Second, add 2x^2 and subtract 3x and 1 from both sides.
-2x + 1 = -2x^2 + 3x + 1
-3x -1 +2x^2 +2x^2 -3x -1
________________
2x^2 - 5x = 0
Third, factor out an x.
x(2x - 5) = 0
Fourth, solve for x by setting each factor equal to 0.
x= 0 2x-5=0
+5 +5
_______
2x = 5
---- ----
2 2
________
x=5/2
So the values of x that satisfy the system of equations is 0 and 5/2.
No no no no no no no no no
Step-by-step explanation:
7x-40=3x+3x-20 {exterior angle of triangle is equal to the sum of its opposite interior angle}
hope it helps
<h3>stay safe healthy and happy.</h3>
Answer:
$7,680
$34,240
Step-by-step explanation:
Amount Tessa earns in 2019 = $32000
a. She paid tax of 24% on these earnings. Work out the amount she paid in tax in 2018.
Percent of tax = 24%
Amount of tax paid = 24% of $32,000
= 24/100 * 32,000
= 0.24 * 32,000
= $7,680
Amount of tax paid = $7,680
b. Tessa's earnings increased by 7%. Work out her earnings in 2020.
Percentage increase in earnings = 7%
Amount of increase in earnings = 7% of $32,000
= 7/100 * 32,000
= 0.07 * 32,000
= $2,240
Amount of increase in earnings = $2,240
Total earnings in 2020 = Amount Tessa earns in 2019 + Amount of increase in earnings
= $32,000 + $2,240
= $34,240
Total earnings in 2020 = $34,240
The correct answer is 2067