Answer: we multiply the second equation by -2. This property is the multiplication property of equality (1).
Then, we add the two equations generated. (2) addition property of inequality.
Next, we divide both sides of the equation by 13. That is division property of inequality.
Moreover, we substitute the value obtained for y in the first equation. This is substitution property of equality.
Then, we simplify
Next, we add +3 to both sides of the equation in order to have an equation with only one side having a variable. That is addition property of equality.
Lastly, we divide both sides of the equation by 4. This is division property of equality.
Step-by-step explanation:
Answer:
As the values of x increase both function decrease in value.
Step-by-step explanation:
We can first look into the properties of parallelogram,you can also take reference from the figure above:
-Opposite sides are parallel and are congruent.
-Opposite angles are congruent.
-The diagonals bisect each other.
We can then look into the answer:
A.Opposite angles are congurent.
-This is an correct statement.
B.Diagonals are congruent.
-This is incorrect,although they bisect each other,they do not have the same length.
C.The diagonals are peroendicular to each other.
-This is incorrect as well,not every parallelogram has the angle of 90° in the place where the diagonals bisect each others.
D.The area is equal to the product of two adjacent side-this is not true,to find the area,it have to be base×height.
Therefore the answer is A.
Hope it helps!
Answer:
Another expression: 9*(4a - 3)
Step-by-step explanation:
Though 36a - 27 is the simplest form we can factor it
36a - 27 = 9* (4a - 3)
Answer:
66 coolers
Step-by-step explanation:
C = 0.005x² - 0.3x + 17
When C = $19
19 = 0.005x² - 0.3x + 17
19 - 17 = 0.005x² - 0.3x
2 = 0.005x² - 0.3x
0.005x² - 0.3x - 2 = 0
x = -b ± √b² - 4ac / 2a
= -(-0.3) ± √-0.3² - 4*0.005*-2 / 2*0.005
= 0.3 ± √ 0.09 - (-0.04) / 0.01
= 0.3 ± √ 0.09 + 0.04 / 0.01
= 0.3 ± √ 0.13 / 0.01
= 0.3/0.01 ± √0.13/0.01
= 30 ± 0.36/0.01
x = 30 ± 36
x = 30 + 36 or 30 - 36
x = 66 or -6
Number of coolers can not be negative
Therefore, number of coolers produced when the cost is $19
is 66 coolers