Answer:
True
Step-by-step explanation:
In Prime factorization, we are expected to obtain factors that are prime numbers that can multiply themselves to give the original number. So long as the first factor can divide the number without a remainder, other remaining factors can be multiplied together to give the original number.
Prime factorization of the number, 15 goes thus;
15/3=5
5/5=1
3*5=15
So, all the factors multiply to give the original number.
The graph has a y-intercept of 2 and is shifted to the right 6 from the parent function.
The parent function, y=√x, looks like a parabola laid on its side. We generally only consider the positive square root unless told otherwise. Since we have √(x-6) instead of just √x, the graph is shifted to the right 6 units. The +2 at the end of the equation shifts the graph up 2.
<h3>A manufacturer sells an item to an agency at a profit of 25%. The agency sells the item to a shopkeeper at 10% profit and shopkeeper sells the item at a profit of 20%. If the selling price of the item is $594, find the manufacturing price.</h3>
Answer: $360
Step-by-step explanation:
Let Mp the manufacturing price.
First step:
Manufacturer sells at a profit of 25% = Mp + Mp·0.25 = Mp·1.25
Second step:
Agency sells at a profit of 10% = 1.25Mp + 1.25Mp·0.10 = Mp·1.375
Third step:
Shopkeeper sells at a profit of 20% = 1.375Mp + 1.375Mp·0.20 = Mp·1.65
Then the final price = 1.65·Mp
1.65Mp = $594
Mp = $594/1.65 = $360 ►Manufacturer price
Answer: $360
Verification
Manufacturer sells at a profit of 25% = 25/100 = 0.25:
$360 + $360·0.25 = $360(1 + 0.25) = $360 + $90 = $450
Agency sells at a profit of 10% = 10/100 = 0.10:
$450 + $450·0.10 = $450(1 + 0.10) = $450 + $45 = $495
Shopkeeper sells at a profit of 20% = 20/100 = 0.20
$495 + $495·0.20 = $495(1 + 0.20) = $495 + $99 = $594 Checked!

A is correct:
m∠ABD=1/2(mCD-mAC)
m∠ABD=1/2(132-72)
m∠ABD=1/2(60)=30
The x’s must all be different. So if any x’s repeat it is not a function