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:
d/2 = r if you are talking about circles, if that's the case then the r would be 5
Answer:
Find the median of this data
21+23+60+60+50+54+54+59+26+15+43+15=480/ 12 = 40
Now the median should be 50 so take 50 - 40 = 10
The missing number from the data is 10
Answer:
1.D)SSS
2.C.)
Step-by-step explanation:
1. There isn't any angles and there is enough info to prove that the triangles are congruent.
2.There is not enough info to determine that the triangles are congruent.
Answer:
the solutions are {-2, 3}
Step-by-step explanation:
First combine the constants 2 and 17:
3|2x-1|+2=17 => 3|2x - 1| = 15
Next, divide both sides by 3. We get:
3|2x - 1| = 15 => |2x - 1| = 5
We want to solve for x, so divide all three terms by 2 as follows:
|x - 1/2| = 5/2
This equation has two solutions. We regard 1/2 as the "center." The equation tells us that x is either 5/2 greater than this 1/2 or 5/2 smaller:
x = 1/2 + 5/2 = 6/2, or x = 3
and:
x = 1/2 - 5/2 = -4/2 = -2
Thus, the solutions are {-2, 3}
