So for this trinomial, I will be factoring by grouping. Firstly, what two terms have a product of 16x^2 and a sum of 10x? That would be 8x and 2x. Replace 10x with 2x + 8x:
Next, factor x^2 + 2x and 8x + 16 separately. Make sure that they have the same quantity inside the parentheses:
<u>Now you can rewrite this as , which is your final answer.</u>
Answer:
The scale used to draw the plan is 1: 200.
Step-by-step explanation:
Given that two points A and B on a plan represent two localities 12 m apart, to determine, given that the segment AB is 6 cm long, the scale used to draw the plan, the following calculation must be performed:
12 m = 12 cm x 100 = 1200 cm
1200/6 = 200
Therefore, the scale used to draw the plan is 1: 200.
9514 1404 393
Answer:
a) w(4w-15)
b) w²
c) w(4w -15) = w²
d) w = 5
e) 5 by 5
Step-by-step explanation:
a) If w is the width, and the length is 15 less than 4 times the width, then the length is 4w-15. The area is the product of length and width.
A = w(4w -15)
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b) If w is the side length, the area of the square is (also) the product of length and width:
A = w²
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c) Equating the expressions for area, we have ...
w(4w -15) = w²
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d) we can subtract the right side to get ...
4w² -15w -w² = 0
3w(w -5) = 0
This has solutions w=0 and w=5. Only the positive solution is sensible in this problem.
The side length of the square is 5 units.
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e) The rectangle is 5 units wide, and 4(5)-15 = 5 units long.
The rectangle and square have the same width and the same area, so the rectangle must be a square.
When using the the slope formula the equation would be
-4-5= -9
4- -2=6
You divide and u get 1.5 which is also known as 1 and 1/2
Answer:
The correct answer would be, No of bracelets the company must sell to break even would be 15
Step-by-step explanation:
Revenue is given by the function as:
R(x) = 20x
and Cost is given by the function as:
C(x) = 180 + 8x
Let the function P(x) represent the profit earned.
We know that Profit is equal to Revenue - Cost
i-e
Profit = Revenue - Cost
So,
P(x) = R(x) - C(x)
Now substituting the Revenue and cost values in the above equation.
P(x) = 20x - (180 + 8x)
P(x) = 20x -180 -8x
P(x) = 20x - 8x -180
P(x) = 12x - 180
Now if we want to find out the break even point, we would consider profit as Zero, 0. So substituting 0 in the above equation for Profit, we will get:
0 = 12x - 180
12x = 180
x = 180/12
x = 15
So the break even point will be 15 bracelets.