The correct answer choice is 4
Answer:
A. -6.5
B. -21/4
C. -4
Work:
Hope it gets you a good grade! Your Welcome!
Answer:
(2,2) , (0,0), (5,3)
Step-by-step explanation:
To check which points are solution to the system of inequalities, substitute the value of those points in the two inequalities and make sure are both true.
y ≤ x
y > -x +1
Point (x=2, y=2)
2 ≤ 2 ✅
2 > -2 +1 ⇒ 2 > -1 ✅
Because both inequalities are true using the coordinates of this point then the point IS a solution to the system of inequalities.
Point (x= -2, y=2)
2 ≤ -2 ❌
We stop checking because we need both inequalities to work. This point IS NOT a solution.
Point (x=0, y=0)
0 ≤ 0 ✅
0 > -0 +1 ⇒ 2 > 1 ✅
This point IS a solution.
Point (x=0, y=5)
5 ≤ 2 ❌
This point IS NOT a solution.
Point (x=2, y= -2)
-2 ≤ 2 ✅
-2 > -2 +1 ⇒ -2 > -1 ❌
This point IS NOT a solution.
Point (x=5, y=3)
3 ≤ 5 ✅
3 > -5 +1 ⇒ 3 > -4 ✅
This point IS a solution.
Point (x=4, y= -3)
-3 ≤ 4 ✅
-3 > -4 +1 ⇒ -3 > -3 ❌
This point IS NOT a solution.
Point (x=-2, y=-2)
-2 ≤ -2 ✅
-2 > - -2 +1 ⇒ -2 > 2+1 ⇒ -2 >3 ❌
This point IS NOT a solution.
Answer: f(x) = (x + 3)(x – 7)
Step-by-step explanation: Use "standard form" of the function and insert values given: vertex (2,-25) intercept point (7,0)
f(x) = a(x-h)² + k from vertex, h is 2 y is -25 from intercept, x is 7 f(x) is 0
to find a, 0 = a(7-2)² +(-25) 0 = a(7-2)² -25 add 25 to both sides
25 = a(5)² 25 = 25a 25/25 = a 1=a (seems useless but verifies implied "a"coefficient is 1)
f(x) = a(x-h)² + k solve to get the quadratic form
f(x) = (x-2)² -25 (x - 2)² is x² -4x +4
f(x) = x² -4x +4 -25 simplify
f(x) = x² -4x - 21 then factor
f(x) = (x + 3)(x - 7)
