Answer:
x = 5
x = 0
Pulling out like terms :
2.1 Pull out like factors :
x2 - 5x = x • (x - 5)
Equation at the end of step 2 :
x • (x - 5) = 0
Step 3 :
Theory - Roots of a product :
3.1 A product of several terms equals zero.
When a product of two or more terms equals zero, then at least one of the terms must be zero.
We shall now solve each term = 0 separately
In other words, we are going to solve as many equations as there are terms in the product
Any solution of term = 0 solves product = 0 as well.
Solving a Single Variable Equation
Your answer is A
distribute the 8 to the 4x and 2 which gives you
=32x + 16 + 4 >_ 5
now you need to add the 16 and the 4
which leaves you with
=32x + 20 >_ 5
then subtract the 20 from both sides
then you have
=32x >_ -15
then divide 32 from both sides with gives you
x>_ -15/32 or x>_ -0.5
Answer:
D. 
m²
Step-by-step explanation:
Area of the sector = ½*r²∅
Where,
Radius (r) = 15 m
Angle in radians (∅) = 
Plug in the values into the equation
Area of sector = 
Area of sector = 
Area of sector = 
Area of sector = 
Simplify
Area of sector =
Answer:
5
Step-by-step explanation:
use the Pythagorean theorem
<h2>
Answer:</h2>
The table which shows that a function's range has exactly three elements is:
x y
3 8
4 6
5 12
6 8
<h2>
Step-by-step explanation:</h2>
<u>Domain of a function--</u>
The domain of a function is the set of all the x-values i.e. the value of the independent variable for which a function is defined.
<u>Range of a function--</u>
It is the set of all the y-value or the values which are obtained by the independent variable i.e. the values obtained by the function in it's defined domain.
a)
x y
1 4
2 4
3 4
Domain: {1,2,3}
Range: {4}
Hence, the range has a single element.
b)
x y
3 8
4 6
5 12
6 8
Domain: {3,4,5,6}
Range: {6,8,12}
Hence, the range has three element.
c)
x y
0 5
2 9
0 15
This relation is not a function.
because 0 has two images.
0 is mapped to 5 and 0 is mapped to 15.
d)
x y
1 4
3 2
5 1
3 4
This relation is not a function.
because 3 has two images.
3 is mapped to 2 in the ordered pair (3,2) and 3 is mapped to 4 in the ordered pair (3,4)
