Answer:
(x + 2) (x + 3) = x² + 3x + 2x + 6 = 12 (multiply the binomials)
(x + 2) (x + 3) = x² + 5x + 6 = 12
(x + 2) (x + 3) = x² + 5x + 6-12 = 0 (add the like term and bring the positive 12 to the other side which makes it negative)
x² + 5x + 6 = 0
Using the snowflake method - (finding the factors of 6 that adds/subtracts to give you 5).
This method will give you the factors (x + 6)(x - 1)
ZERO PROPERTY RULE:
(x + 6) = 0
x = -6
(x - 1) = 0
x = 1
The two solutions to the equation are -6 and 1.
To find the number of CD on sale, we can set an equation.
Let y be the number if CD.
As she bought 40%, the amount she bought= 40%y
The equation:
40%y = 80
0.4y = 80
y = 80÷0.4
y=320
Therefore there were originally 320 CDs.
Hope it helps!
Answer:
14) false
15) false
Step-by-step explanation:
14) 120% of a positive whole number is always greater than the number. If the number is 1, 120% of it would give us 1.2 which is greater than 1. However if the number is a negative whole number, 120% of it would give us a smaller number. Let's try -1. 120% of -1 would give us -1.2, which is smaller than -1. Hence the statement is false.
15) 0.5% of a number is 0.5/100 of the number so we should multiply the number by 5/1000. 5/100 is only 5% of the number. Hence the statement is also false.
To solve for y, apply the distributive property:
Then, subtract 12 from both sides and you will get:
Then solve for y, by dividing both sides by 10.
Your final answer will be y=1.2
Answer:
24 cm.
Step-by-step explanation:
If you take 6 cm. and multiply it by 4(magnify it), you get 6 x 4, which is 24.
Hope this helps!
