Answer:
Step-by-step explanation:
f(x) = x² - 2x + 5
1) f(2) = (2)² - 2(2) + 5 = 5
2) f(-3) = (-3)² - 2(-3) + 5 = 20
3) f(0) = (0)² - 2(0) + 5 = 5
4) f(5) - f(-2) = (5)² - 2(5) + 5 - [(-2)² - 2(-2) + 5 = 20 - 13 = 7
5) f(1) + f(6) = (1)² - 2(1) + 5 + [(6)² - 2(6) + 5 = 4 + 29 = 33
Answer:
Here's what I get
Step-by-step explanation:
The formula for a quadratic equation is
ax² + bx + c = 0
The quadratic formula gives the roots:
![x = \dfrac{-b\pm\sqrt{b^2-4ac}}{2a} = \dfrac{-b\pm\sqrt{D}}{2a}](https://tex.z-dn.net/?f=x%20%3D%20%5Cdfrac%7B-b%5Cpm%5Csqrt%7Bb%5E2-4ac%7D%7D%7B2a%7D%20%3D%20%20%5Cdfrac%7B-b%5Cpm%5Csqrt%7BD%7D%7D%7B2a%7D)
D is the discriminant.
It tells us the number of roots to the equation — the number of times the graph crosses the x-axis.
![D = \begin{cases}\text{positive} & \quad \text{2 real solutions}\\\text{zero} & \quad \text{1 real solution}\\\text{negative} & \quad \text{0 real solutions}\\\end{cases}](https://tex.z-dn.net/?f=D%20%3D%20%5Cbegin%7Bcases%7D%5Ctext%7Bpositive%7D%20%20%26%20%5Cquad%20%5Ctext%7B2%20real%20solutions%7D%5C%5C%5Ctext%7Bzero%7D%20%26%20%5Cquad%20%5Ctext%7B1%20real%20solution%7D%5C%5C%5Ctext%7Bnegative%7D%20%26%20%5Cquad%20%5Ctext%7B0%20real%20solutions%7D%5C%5C%5Cend%7Bcases%7D)
It doesn't matter if the graph opens upwards or downwards.
If D > 0, the graph crosses the x-axis at two points.
If D = 0, the graph touches the x-axis at one point.
If D < 0, the graph never reaches the x-axis.
Your graph must look like one of the two graphs on the right in the Figure below.
Answer:
There are a total of 12 groups to study
Step-by-step explanation:
You have 3 possible supplies for each subject and they can have 2 different king of diets. That gives you alredy 3*2 = 6 different options to study. You can divide further when you make the comparisson at the end of the month, allowing you to subdivide into two more categories: wheater their blood pressure is higher or lower.
That gives you a total of 3*2*2 = 12 groups to study.
I hope I could help you!
Hello~
I used Cymath for this!
https://www.cymath.com/answer?q=(0.4%20*10%5E-6)%20(0.7%20*%2010%5E-2)
In short the answer is B.
The link has the step by step answers!
I highly recommend this sight by the way, its always correct!
Ary~
Answer:
6^5x+2
Step-by-step explanation:
Add exponents when multiplying