Answer:
(-1,9)
(0,3)
(1,-3)
(5,-27)
Step-by-step explanation:
Plug x values into the equation.
Answer:
(2 a - 5) (2 a + 5)
Step-by-step explanation:
Factor the following:
4 a^2 - 25
4 a^2 - 25 = (2 a)^2 - 5^2:
(2 a)^2 - 5^2
Factor the difference of two squares. (2 a)^2 - 5^2 = (2 a - 5) (2 a + 5):
Answer: (2 a - 5) (2 a + 5)
Answer:
7/12.
Step-by-step explanation:
=x/x+5.
x-5/x+5+4=⅛
x-5/x+9=⅛
x-5=⅛(x+9)
x-5=⅛x+1⅛
x-⅛x=1⅛+5
⅞x=49/8
7x=49
x=7
thus the initial fraction is x/x+5= <u>7</u><u>/</u><u>1</u><u>2</u>
A rational number is a fraction
Answer:
The equations represent circles that result in the same graph.
Step-by-step explanation:
we have

Divide by -10 both sides
-----> equation A
This is the equation of a circle centered at origin with radius 
and
Divide by 5 both sides
-----> equation B
This is the equation of a circle centered at origin with radius 
equation A and equation B are equal
therefore
The system has infinite solutions, because the equations represent circles that result in the same graph.
Let the cost of one cup of hot chocolate be = x
Let the cost of one cup of hot tea be = y
Paul paid $ 25.50 for 3 cups of hot chocolate and 4 cups of tea.
Equation becomes =
...(1)
As given, the cost of each cup of tea was 2/3 the cost of each cup of hot chocolate.
.... (2)
Putting the value of y from (2) in (1)

=
=
=
x=4.5

=
y =3
Hence each cup of hot chocolate is $4.50
Each cup of tea is $3.