Answer:
How many people like both drinks?
To find the overlap, we can do (104 + 74) - 140 = 38.
How many people like tea only?
To find this, we can do 74 - 38 = 36.
How many people like milk only?
To find this, we can do 104 - 38 = 66.
Answer:
3x+3y and distributive property
Step-by-step explanation:
It is given that
Gretchen buys three bags of apples = 3X
Hayley buys three bunches of bananas = 3Y
As it is also mentioned that it first it is multiplied and then it is added
So, the expression for determining the total number of fruit pieces is
3X + 3Y
And, this expression denotes the distributive property in which we multiplied the each variable and then added it
Honors Pre-calc Quick Check
1. Determine the interval on which this function is constant
(-2,2)
2. Identify the x-values for which f(x)>-2
{x|2<x<8}
3. The figure shows the graph of the function y=(x-1)^2-4. Identify the x-values for which the function in increasing.
{x|x>1}
4. Identify the x- and y-intercepts of the graph
X-intercepts: (-1,0) and (3,0)
y-intercepts: (0,-3)
5. a batter hits a baseball into the air at an angle. The height of the ball in feet, is modeled by a quadratic function h(t), where t represents time, measured in seconds. Use the graph of the function to determine which pf the following statements most accurately models the height of the ball 5 seconds after is was hit.
h(5)=75
I hope you have a great day!
Answer:
Step-by-step explanation:
hypotenuse (h) = 8
base(b) = 2
cos A = b / h
cos A = 2 / 8
cos A = 1/ 4
A = Cos^-1 ( 1/4)
A = 75.52 °
Write the coeeficientes of the polynomial in order:
| 1 - 5 6 - 30
|
|
|
------------------------
After some trials you probe with 5
| 1 - 5 6 - 30
|
|
5 | 5 0 30
-----------------------------
1 0 6 0 <---- residue
Given that the residue is 0, 5 is a root.
The quotient is x^2 + 6 = 0, which does not have a real root.
Therefore, 5 is the only root. You can prove it by solving the polynomial x^2 + 6 = 0.