Answer:
Below in bold.
Step-by-step explanation:
A. −16x2 + 24x + 16 = 0
-8(2x2 - 3x - 2) = 0
-8(2x + 1 )(x - 2) = 0
x = -0.5, 2.
So the x-intercepts are (-0/5, 0) and (2, 0).
B. As the leading coefficients is negative (-16) the vertex of the graph will be a Maximum.
To find its coordinates we convert the function to vertex form:
f(x) = −16x2 + 24x + 16
= -16(x^2 - 1.5x) + 16
Completing the square on contents of the parentheses:
= -16 [(x - 0.75)^2 - 0.75^2] + 16
= -16(x - 0.75)^2 - 16 * -0.75^2 + 16
= -16(x - 0.75)^2 + 9 + 16
= -16(x - 0.75)^2 + 25.
So the coordinates of the vertex are (0.75, 25)
Answer:
The level of variable ages of children is ratio.
Explanation:
Nominal scale is the one which takes categories as its values like gender of a person.
Ordinal scale is the one which is used to show the order of values with no clear difference among them like satisfaction level of people with a service.
Interval scale is the one which shows the clear order of values with clear difference between the values with out true zero.
Ordered scale is one which not only produces the order of variables but also makes the difference between variables known along with information on the value of true zero.
Therefore, the variable which is under consideration here is the ages of children, which takes the values 3,4,5,6 and 7 is a ratio scale.
13, I believe? Sorry if you get it wrong
Note that you are subtracting the same number from both sides. Thus, blank/100 must equal .26. Convert .26 to a fraction by placing it over 100 and removing the decimal point: 26/100. blank = 26
Teri had 7/9 of a sandwich, you need to find a common denominator for 2/3. Multiply 2/3 by 3 which is 6/9. (6/9 is how much they ate) Then you subtract 7/9 by 6/9 (7/9-6/9=1/9)
Answer:1/9 of a yard
I hope this helped.. not much of a teacher hahah :)
