Answer:
B
Step-by-step explanation:
Using the determinant to determine the type of zeros
Given
f(x) = ax² + bx + c ( a ≠ 0 ) ← in standard form, then the discriminant is
Δ = b² - 4ac
• If b² - 4ac > 0 then 2 real and distinct zeros
• If b² - 4ac = 0 then 2 real and equal zeros
• If b² - 4ac < 0 then 2 complex zeros
Given
f(x) = (x - 1)² + 1 ← expand factor and simplify
= x² - 2x + 1 + 1
= x² - 2x + 2 ← in standard form
with a = 1, b = - 2, c = 2, then
b² - 4ac = (- 2)² - (4 × 1 × 2) = 4 - 8 = - 4
Since b² - 4ac < 0 then the zeros are complex
Thus P(x) has no real zeros
Answer:
4
Step-by-step explanation:
-6 + x = -2
add 6 to each side
-6 +6 +x = -2 +6
x = 4
3 fourths of an hour is : (3/4)
(3/4)*4=3 hours
hope this helps!
Answer:
Step-by-step explanation:
x + 4 = 2x + 1
-x -x
4 = 1x + 1
-1 -1
3 = 1x
-- --
1 1
3 = x
Check:
3 + 4 = 2(3) + 1
7 = 6 + 1
7 = 7
Because you can't solve for two variables at once, you can guess and trial/error.
You can also give x or y any value, and then solve for the opposite variable.
x = 0
y = -36
for example. There are more solutions.
y + 8 = -4(x+7)
-36 + 8 = -4(0+7)
-28 = 0 - 28
-28 = -28
