Answer:
see explanation
Step-by-step explanation:
5x² + 5x + 3 = 0 ← in standard form
with a = 5 , b = 5 , c = 3
Solve using the quadratic formula
x =
=
=
=
=
=
Then
x = ± i , that is
x = - - i , - + i
With this information we can set up 2 equations:
x + y = 312 (# of tickets sold for adults + # of tickets sold to adults = 312)
12x + 5y = 2204 ( # of tickets sold for adults times $12 + # of tickets sold to adults times $5 = $2204)
Where x is how many tickets were sold to adults and y how many tickets were sold to children
Now we can solve this system of equations by substitution:
isolate y in the first equation to find its value and plug it in the second equation
x + y = 312
isolate y by subtracting x from both sides:
x - x + y = 312
y = 312 - x
Apply y = 312 - x to the second equation
12x + 5y = 2204
12x + 5( 312 - x) = 2204
12x + 1560 - 5x = 2204
7x + 1560 = 2204
Subtract 1560 from both sides to isolate x
7x + 1560 - 1560 = 2204 - 1560
7x = 644
Divide both sides by 7
7/7x = 644/7
x = 92
Now plugin 92 for x in the first equation to find the value of y
x + y = 312
92 + y = 312
subtract 92 from both sides
92 - 92 + y = 312 - 92
y = 220
x = 92, y = 220
92 tickets were sold to adults and 220 tickets were sold to children
Hope it helps :)
Branliest would be appreciated
Answer:
3.25
Step-by-step explanation:
Perimeter of triangle = 3(5) = 15 cm
Perimeter of rectangle = 2(2x - 3 + 4)
Perimeter = 2(2x + 1)
Perimeter = 4x + 2
4x + 2 = 15
4x = 15 - 2
4x = 13
x = 13/4
x = 3.25
Remember, the slope-intercept equation is y=mx+b
Where m = slope and b = y-intercept.
So basically, you just plug in the missing values.
First, find the slope.
Equation for slope is : = y₂-y₁ / x₂-x₁
Plug in the missing values.
m = 4-9 / 2-12
m = -5 / -10
m = 1/2
Plug in 1/2 for m in y = mx + b
y = 1/2x + 9
It would be 9 because you just take the y-value of the first set of points.
~Hope I helped!~