If x' & x" are the roots (or x intercepts) of a quadratic equation, then it could be written:
y= (x-x')(x-x")
Since -6 & +6 are the roots of the quadratic function, then it could be written
as follows y= (x+6)(x+6) ===> y= x²-36. So the answer is B
Answer: The number of first-year residents she must survey to be 95% confident= 263
Step-by-step explanation:
When population standard deviation (
) is known and margin of error(E) is given, then the minimum sample size (n) is given by :-
, z* = Two-tailed critical value for the given confidence interval.
For 95% confidence level , z* = 1.96
As, = 8.265, E = 1
So, ![n= (\dfrac{1.96\times8.265}{1})^2 =(16.1994)^2\\\\= 262.42056036\approx263\ \ \ [\text{Rounded to the next integer}]](https://tex.z-dn.net/?f=n%3D%20%28%5Cdfrac%7B1.96%5Ctimes8.265%7D%7B1%7D%29%5E2%20%3D%2816.1994%29%5E2%5C%5C%5C%5C%3D%20262.42056036%5Capprox263%5C%20%5C%20%5C%20%5B%5Ctext%7BRounded%20to%20the%20next%20integer%7D%5D)
Hence, the number of first-year residents she must survey to be 95% confident= 263
Answer:
x = -2
Step-by-step explanation:
2(x - 5) - 5x = -4
Distrubute the 2 into the parentheses
2x - 10 - 5x = -4
Add 10
+10 +10
2x - 5x = 6
Simplify
-3x = 6
Divide
÷ -3 ÷ -3
x = -2
Answer:
x² - x - 12 = (x - 4)(x - 3)
Step-by-step explanation:
We have the trinomial x² - x - 12.
We have to show two binomials to be factors of this above trinomial.
For this first we have to factorize the trinomial.
Now, x² - x - 12
= x² - 4x + 3x - 12
= x(x - 4) + 3(x - 4)
= (x - 4)(x - 3)
So the binomials are (x - 4) and (x - 3) that are factors of the trinomial x² - x - 12. (Answer)
Answer:
2 and angle that is left of 5
Step-by-step explanation:
Angle 2 is vertical from 110, and vertical angles are congruent. From this, we can figure out that 2 and 3 (they're supplementary) are 70. Angles 5 and 3 are Alternate Interior Angles, and therefore must be congruent. The one to the left of 5 is supplementary to it, and therefore must be 110. Your answers are angle 2 and the angle that is left of 5.
