Answer: The answer is 8.
Step-by-step explanation: The first step is to convert the expression into figures. We shall call the unknown number Y. So if we are told “the square of a number,” that means Y squared, or better still, Y^2. Further we are told “the difference between the square of a number and 40” and that can be written as;
Y^2 - 40.
Next we are told that this expression is equal to 3 times that number (that is 3Y). That can now be written out as follows,
Y^2 - 40 = 3Y
If we move all expressions to one side of the equation, what we would have is,
Y^2 - 3Y -40 = 0
(Remember that when a positive value crosses to the other side of an equation it becomes negative and vice versa)
We now have a quadratic equation
Y^2 -3Y - 40 = 0
By factorizing we now have
(Y -8) (Y + 5) = 0
Therefore Y - 8 = 0 or
Y + 5 = 0
Hence, Y = 8 or Y = -5
Since we are asked to calculate the positive solution, Y = 8
Answer: a 2
Step-by-step explanation:
Answer:
12 weeks
Step-by-step explanation:
Step one:
given data
let the heights of the plants be y
and the number of weeks be x
Plant A
y=3x+8.5--------------1
Plant B
y=2.5x+14.5----------2
Required
The number of weeks taken for both plants to have the same height
,equate the two expressions above
3x+8.5=2.5x+14.5
3x-2.5x=14.5-8.5
0.5x= 6
divide both sides by 0.5
x= 6/0.5
x= 12 weeks
Answer: total net sales = $7950
Step-by-step explanation:
The formula for determining total net sales is expressed as
total net sales = Gross sales - (sales returns + allowances + discount)
Gross sales means total sales.
From the information given,
Gross sales = $9000
Discounts = $900
Returns = $150
Allowances = 0(this is because it was not given)
Therefore,
total net sales = 9000 - (900 + 150)
= 9000 - 1050
total net sales = $7950
Answer:A triangle is a polygon which has three sides and can be categorized into the follow ... sides of the triangle, and s = ½ (a + b + c) is the semi-perimeter of the triangle. ... Example 1: Find the area of a triangle whose base is 14 cm and height is 10 cm. ... a = 5cm and b = 7cm. C = 45o. Solution: Area of a triangle = ½ · a · b · sinC.
Step-by-step explanation:
