Answer:
all real numbers greater than or equal to -1
Step-by-step explanation:
In order to solve this problem we need to know the vertex and the direction its pointing.
First we expand,
x^2-6x+8
To find the x value of the vertex we use this formula (-b/2a).
-(-6)/2(1) = 3
Now we plug 3 in the equation to get the y value,
(3)^2 - 6(3) + 8 = 9 - 18 + 8 = -1
The vertex is (3,-1)
We know the graph points up because x^2 is positive
The vertex is the lowest point, so we now know that -1 is the starting range and if the graph is pointing up, that means all values greater than -1.
This leads to our answer all real numbers greater than or equal to -1.
I’m pretty sure it’s C and E
Option C:
The coefficient of
is 40.
Solution:
Given expression:

Using binomial theorem:

Here 
Substitute in the binomial formula, we get

Now to expand the summation, substitute i = 0, 1, 2, 3, 4 and 5.


Let us solve the term one by one.






Substitute these into the above expansion.

The coefficient of
is 40.
Option C is the correct answer.
<h3>
Answer: 6 apples</h3>
x = number of apples originally
50% of x = 0.50*x = amount of apples eaten = 3
0.50x = 3
x = 3/0.50 ....... divide both sides by 0.50
x = 6
You can think of 50% as 1/2. If 3 apples represent half the bag, then the full bag is 6 apples. So half of 6 is 3.
Answer:
a) acute angle
b) obtuse angle
c) right angle
d) reflex angle
e) straight line angle
f) acute angle
Step-by-step explanation:
Acute angle
- angle that is smaller than 90°
- 0° < θ < 90°
Right angle
- angle that is 90°
- shaped of a "L"
Obtuse angle
- angle that is greater than 90° but smaller than 180°
- 90° < θ < 180°
Straight line angle
- angle that is 180°
- drawn in a straight line
Reflex angle
- angle than is greater than 180°
- θ > 180°