Answer:
How many students like only tennis and football?
13 who like tennis and football
How many students like only baseball and football?
26 who like baseball and football
Answer: x=24
Step-by-step explanation:Simplifying
0.6x + -5 = 0.1x + 7
Reorder the terms:
-5 + 0.6x = 0.1x + 7
Reorder the terms:
-5 + 0.6x = 7 + 0.1x
Solving
-5 + 0.6x = 7 + 0.1x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-0.1x' to each side of the equation.
-5 + 0.6x + -0.1x = 7 + 0.1x + -0.1x
Combine like terms: 0.6x + -0.1x = 0.5x
-5 + 0.5x = 7 + 0.1x + -0.1x
Combine like terms: 0.1x + -0.1x = 0.0
-5 + 0.5x = 7 + 0.0
-5 + 0.5x = 7
Add '5' to each side of the equation.
-5 + 5 + 0.5x = 7 + 5
Combine like terms: -5 + 5 = 0
0 + 0.5x = 7 + 5
0.5x = 7 + 5
Combine like terms: 7 + 5 = 12
0.5x = 12
Divide each side by '0.5'.
x = 24
Simplifying
x = 24
y = - 
(x - 5)² + 4
the equation of a quadratic in standard form is
y = a(x - h)² + k ( where (h , k ) are the coordinates of the vertex and a is a multiplier )
given vertex = ( 5, 4 ) then
y = a(x - 5)² + 4 ( to find a substitute (7 , 1 ) into the equation )
1= 4a + 4
4a = - 3 ⇒ a = -
y = - (x - 5)² + 4 ← ( in vertex form )
