Answer:
<h3>
f(x) = x² - 6x + 3</h3>
Step-by-step explanation:
Parabola f(x) = ax² + bx + c passing through point (x₁, y₁) means if x=x₁ then f(x)=f(x₁)=y₁
(0, 3) ⇒ 3=a·0²+b·0+c ⇒ c=3
f(x) = ax² + bx + 3
(4, -5) ⇒ -5 = a·4² + b·4 + 3
-5 = 16a + 4b + 3
-4b = 16a + 8
<u> b = - 4a - 2</u>
(-1, 10) ⇒ 10 = a·(-1)² + b·(-1) + 3
10 = a - b + 3
<u> b = a - 7</u>
a - 7 = - 4a - 2
5a = 5
a = 1
b = 1 - 7 = - 6
So the equation:
<u> f(x) = x² - 6x + 3</u>
Answer:
Step-by-step explanation:
systems of linear equations can only have 0, 1, or an infinite number of solutions. These two lines cannot intersect twice. The correct answer is that the system has one solution.
Answer:
( 0, -29)
Step-by-step explanation:
6.5x+50>_234
C=#of hrs (>_ is the greater than equal to symbol btw)
6.5x+50>_234
-50. -50
6.5x/6.5>_184/6.5
x>_ 24 hrs
Answer:
second option
Step-by-step explanation:
3x+5y=25 ---> subtract 3x over
5y=25-3x --->divide both sides by 5
y=-3/5 x+5