Answer:
The domain is 
The range is 
Step-by-step explanation:
we have
<em>Find the domain</em>
Remember that
The domain of a function is the set of all possible values of x
we know that the radicand of the function must be greater than or equal to zero
so
solve for x
therefore
The domain is
<em>Find the range</em>
Remember that
The range of a function is the complete set of all possible resulting values of y, after we have substituted the domain.
For x=7
The value of y is equal to
so
The solution for y is the interval [1,∞)
therefore
The range is
Question:
What is the common denominator of 
in the complex fraction 
A) 
B) 
C) 
D) 
Answer:
Option D : 3 is the common denominator
Explanation:
It is given that the complex fraction
We need to determine the common denominator of from the complex fraction.
Let us consider the fraction
To find the common denominator, let us take LCM.
Thus, rewriting the above fraction as,
The LCM can be determined by multiplying the denominators.
Thus, we get,
Thus, the common denominator is 3.
Hence, Option D is the correct answer.
Answer:
$200
Step-by-step explanation:
Amanda Beverly
9 : 3
difference between Amanda and Beverly = 9 - 3 = 6 portions.
∴ value of 6 portions = $60
value of 1 portion = $ 60 / 6
= $10
Total no. of portions = 8 + 9 + 3 = 20
Total sum of money to be shared = value of 1 portion x Total no. of portions
= $10 x 20
= <u>$200</u>
This question is incomplete. The attached image was obtained online
Answer:
41 square units
Step-by-step explanation:
Looking at diagram that was attached, we can see that the Polygon s the combination of a square and a triangle.
In square CDEF we have:
The lengths of the side of the square= 4 units
Hence, the area of square is: length ²
Area of square= 4²
=16 square units
Also, in ΔBFA we have:
The base of the triangle is calculated as
=6 + 4= 10 units
height of the triangle is: FA= 5 units
The formula for Area of a triangle = 1/2 × Base × Height
Hence, we have area of ΔBFA as:
= 1/2 × 10 × 5
Area= 25 square units
The Area of the Polygon = Area of the square + Area of the triangle
16 square units + 25 square units
= 41 square units
Answer:
Step-by-step explanation:
Given are two rectangles MNOL and IJKH
MNOL is the image and IJKH is the preimage.
OBviously similarity is preserved between these.
Hence sides will be proportional
i.e. l1/l2 = w1/w2 = Scale factor k
This can also be written as
Scale factor square = 
Scale factor = square root of ratio of rectangle areas
Find ratio as
k = Scale factor = square root of the above fraction
=
