Answer:
square
square has 2 pairs of parallele sides = 4 equal sides
Radio Barn : 200 + .15 x x = the weekly sales
Woofer: 300 + .10x
set them equal to find when they are them same
200 + .15x = 300 + .10x
subtract .10x from both sides
200 +.15x -.10x = 300 + .10x-.10x
200 +.05x = 300
subtract 200 from each side
200+.05x -200 = 300-200
.05x = 100
divide each side by .05
.05x/.05 = 100/.05
x =2000
The 2 jobs pay the same when the weekly sales are 2000 dollars
2. {x - 5 = -y}
{2y - 10 = -2x}
x-5 = -y
add 5 to each side
x = -y+5
multiply each side by -2
-2x = 2y -10
the 2 equations are the same, it has an infinite number of solutions
The system is dependent since the 2 equations are the same line
3. {2x = y - 7}
{4x - 2y - 14 = 0}
2x = y-7
subtract y-7 from each side
2x - (y-7) = 0
2x -y+7 =0
multiply by 2
4x -2y +14 =0
subtract the two equations
4x -2y +14 =0
4x - 2y - 14 = 0
---------------------------
28 = 0
since this cannot happen the lines will never cross ( parallel lines)
the system is inconsistent
as you can see, the terms exponents, for the first term, starts at highest, 5 in this case, then every element it goes down by 1, till it gets to 0
for the second term, starts at 0, and every element it goes up by 1, till it gets to the highest
now, to get the coefficient, they way I get it, is "the product of the current coefficient and the exponent of the first term, divided by the exponent of the second term plus 1"
notice the first coefficient is always 1
so...how did we get 10 for the 3rd element? well, 5*4/2
how did we get 10 for the fourth element? well, 10*2/4
and from there, you can simplify the elements of the expansion by combining the coefficients
like for example, the 7th element of (3a+4b)⁸ will then be 1032192a²b⁶
Yesss ur answer is correct
Answer:
B) 1.65 × 10⁻³
Step-by-step explanation:
A number in <em>scientific notation</em> has the form A × 10ⁿ.
A is a number from 1 to 10, but not 10 itself and is called the <em>coefficient.</em>
n is an integer and is called the <em>exponent</em>.
To convert a small decimal number to exponential notation, you move the decimal point to the right until you have one nonzero digit in front of the decimal point.
The exponent is negative of the number of places you moved the decimal point.
To convert 0.001 65 to scientific notation:
Move the decimal point to the right until it is just past the 1. The coefficient is 1.65
Count the number of places you have moved the decimal (three). The exponent is -3.
The number in scientific notation is 1.65 × 10⁻³.
