To find the solutions to this equation, we can apply the quadratic formula. This quadratic formula solves equations of the form ax^2 + bx + c = 0
x = [ -b ± √(b^2 - 4ac) ] / (2a)
x = [ -5 ± √((5)^2 - 4(-11)(-3)) ] / ( 2(-11) )
x = [-5 ± √(25 - (132) ) ] / ( -22 )
x = [-5 ± √(-107) ] / ( -22)
Since we conclude that √-107 is nonreal, the answer to this question is that there are no real solutions.
What do you want to calculate?
CALCULATE IT!
Solve
Graph
Lesson
Problem:
Solve
x
+
2
y
=
−
6
;
3
x
+
8
y
=
−
20
Steps:
I will solve your system by substitution.
(You can also solve this system by elimination.)
x
+
2
y
=
−
6
;
3
x
+
8
y
=
−
20
Step: Solve
x
+
2
y
=
−
6
for x:
x
+
2
y
+
−
2
y
=
−
6
+
−
2
y
(Add -2y to both sides)
x
=
−
2
y
−
6
Step: Substitute
−
2
y
−
6
for
x
in
3
x
+
8
y
=
−
20
:
3
x
+
8
y
=
−
20
3
(
−
2
y
−
6
)
+
8
y
=
−
20
2
y
−
18
=
−
20
(Simplify both sides of the equation)
2
y
−
18
+
18
=
−
20
+
18
(Add 18 to both sides)
2
y
=
−
2
2
y
2
=
−
2
2
(Divide both sides by 2)
y
=
−
1
Step: Substitute
−
1
for
y
in
x
=
−
2
y
−
6
:
x
=
−
2
y
−
6
x
=
(
−
2
)
(
−
1
)
−
6
x
=
−
4
(Simplify both sides of the equation)
Answer:
x
=
−
4
and
y
=
−
1
Bruh u don’t no this is easy
Answer:
10 percent :)
Step-by-step explanation:
Discount = Original Price x Discount %/100
Discount = 20000 × 10/100
Discount = 20000 x 0.1
You save = $2,000.00
Final Price = Original Price - Discount
Final Price = 20000 - 2000
Final Price = $18,000.00
i hope this helps! pls stay happy and healthy, friend! :))
Answer:
Rent each month = $1421
Amount left after rent and taxes monthly = $2453
Step-by-step explanation:
Gross salary; $61,992 per year
His gross pay per month will be;
61992/12 = $5166
Now, the standard recommended rule in budgeting for house rent is to use between 25% to 30% of your monthly pay for rent.
Now, let's adopt an average of 27.5%
Thus;
Amount he can afford for rent each month = 27.5% × 5166 = $1420.65 ≈ $1421
We are told he pays 25% of his gross monthly income in federal and state taxes.
Thus, amount spent on taxes each month = 25% × 5166 = $1291.5 ≈ $1292
Thus, amount he will gave left after rent and taxes = 5166 - (1421 + 1292) = $2453
