To make the equation equal y
x=(y-5)^2
√x=√(y-5)^2
√x=y-5
this is because the 'root' cancels the 'square root'
√x=y-5
√x+5=y
Answer:
4x² -4xy -4y -4
Step-by-step explanation:
In this case, a= 2x -y and b= y +2.
(2x -y)² -(y +2)²
= (2x -y +y +2)[2x -y -(y +2)]
= (2x +2)(2x -y -y -2)
= (2x +2)(2x -2y -2)
= 2x(2x) +2x(-2y) +2x(-2) +2(2x) +2(-2y) +2(-2) <em>(expand)</em>
= 4x² -4xy -4x +4x -4y -4
= 4x² -4xy -4y -4
Alternatively, start by expanding the brackets.
(2x -y)² -(y +2)²
= 4x² -4xy +y² -(y² +4y +4)
= 4x² -4xy +y² -y² -4y -4 <em>(</em><em>expand</em><em>)</em>
= 4x² -4xy -4y -4 <em>(</em><em>simplify</em><em>)</em>
Answer: 32 days. This is more than a month.
Step-by-step explanation:
First, convert the 30 pound bag into ounces. To do this you just need to multiply 30 by 16. You will get 480 ounces (so one bag has 480 ounces of food in it. Then, just divide that by the ounces eaten by Socks in a day. 480/15 is 32. So one bag of food lasts 32 days. At the most, one month can have 31 days in it so this bag will last for more than a month. Hope this helps!
It will take 7.5 hours for only 40% of the caffeine to remain in his body.
Step-by-step explanation:
Half-life (symbol t1⁄2) is the time required for a quantity to reduce to half of its initial value.
The half-life of caffeine is 5.7 hours.
It means that if we have 10 ounces of caffeine. After 5.7 hours, the remaining caffeine will be equal to 5 ounces and so on.
And the decaying speed depends on the initial amount of the substance.
In the given question.
t1⁄2 = 5.7 hours
Initial amount = N(i) = 16 ounces
Remaining amount after time t = N(t) = 40% of 16 = 6.4 ounces
time t = ?
Using the following formula for remaining amount of substance after time t:
N(t) = N(i)*(0.5)^(t/t1⁄2)
we can find the time t
putting the values in the formula given above, we get:
Taking natural log on both sides:
Learn more about Half-life from brainly.com/question/12341489
#learnwithBrainly
Sales in December = 10,000*15.90 = $159,000
For 5% forecast growth each month;
Sales in January = (1+0.05)*Sales in December = 1.05*159,000 = $166,950
Sales in February = (1+0.05)*Sales in January = 1.05*166,950 = $175,297.50
The company should budget for $175,297.50 sales in February.