Answer: A) the vertex is maximum value
B) the axis of symmetry is x= -1/2
C) the domain is all real numbers
Step-by-step explanation:
Answer:
The number of large size candles sells are 12 and the number of small size candles are 5 .
Step-by-step explanation:
As given
Sia sells large candles for $3 each and small candles for $2 each.
She sold 17 candles for $46.00.
Let us assume that the large size candle sells are x .
Let us assume that the small size candle sells are y.
Equation becomes
x + y = 17
3x + 2y = 46
Multiply x + y = 17 by 3 and subtracted from 3x + 2y = 46 .
3x - 3x + 2y - 3y = 46 - 51
-y = - 5
y = 5
Put in the equation x + y = 17 .
x + 5 = 17
x = 17 - 5
x = 12
Therefore the number of large size candles sells are 12 and the number of small size candles are 5 .
Answer:
Option (b) is correct.
The temperature of the metal after two hours is 28 Celsius
Step-by-step explanation:
Given : A heated piece of metal cools according to the function 
, where x is measured in hours and then a cooling device id added that aids in cooling according to the function 
We have to determine the temperature of the metal after two hours.
Let w(x) denotes the temperature of metal .
Thus, w(x) can be given by function c(x) + h (x) = [c + h](x)
Thus, \\\\w(x)=(0.5)^{x-7}+(-x-2)\\\\](https://tex.z-dn.net/?f=w%28x%29%3D%5Bc%2Bh%5D%28x%29%5C%5C%5C%5Cw%28x%29%3D%280.5%29%5E%7Bx-7%7D%2B%28-x-2%29%5C%5C%5C%5C)
, where x is measured in hours.
Thus, after two hours that is when x = 2
the temperature of metal is given by w(2)
Solving , we get,
Thus, the temperature of the metal after two hours is 28 Celsius.
Hence, Option (b) is correct.
Answer:
Option C
x²+ 2x -24=0
x²+6x-4x-24= 0
x(x+6) -4(x+6) = 0
(x+6)(x-4) = 0
x= -6 and 4
Therefore, for x = 4 and -6 , the above given equation is true.
Answer:
Domain constraints include entity integrity and referential integrity and this domain is a set of values that may be assigned to an attribute. The entity integrity rule states that no part of a primary key cannot be null. Referential integrity states that each foreign key value must match a primary key value or be null
Each table has certain set of columns and each column allows a same type of data, based on its data type. The column does not accept values of any other data type.
Step-by-step explanation:
Domain constraints include entity integrity and referential integrity and this domain is a set of values that may be assigned to an attribute.
The ENTITY INTEGRITY rule states that no part of a primary key cannot be null while the REFERENTIAL INTEGRITY rule states that each foreign key value must match a primary key value or be null.
Each table has certain set of columns and each column allows a same type of data, based on its data type in which the column does not accept values of any other data type.
Therefore Domain constraints are user defined data type and can define in this way:
Domain Constraint = data type + Constraints (NOT NULL / UNIQUE / PRIMARY KEY / FOREIGN KEY / CHECK / DEFAULT)
