Answer:
8.37 x 10^-3
(Scientific Notation)
8.37 x 10^-3
(use the caret symbol [^] to type or write)
8.37E-3
(Scientific E-notation)
0.00837
(Real Number)
Step-by-step explanation:
How to convert numbers or decimals to scientific notation?
In scientific notation all numbers are written in the form of m×10n (m times ten raised to the power of n), where the exponent n is an integer, and the coefficient m is any real number, called the significand or mantissa. If the number is negative then a minus sign precedes m (as in ordinary decimal notation).
Answer:
This equation is in standard form, so to make graphing easier you need to put it in y=mx+b form or slope, intercept form.
Step-by-step explanation:
I have attached a photo of what the graph would look like.
However, in the future you should know how to turn this into a slope intercept equation.
-2x+7y=-21
+2x +2x
7y=2x-21
divide the entire equation by 7
y= 2/7x-3
That is a full equation in slope intercept form.
Hopefully this helps!
Area is equal to length times width. The perimeter (the amount of rope) has to equal twice the length added to twice the width so we're left with:
A = l * w
200 = 2l + 2w
solve for either l or w
l = 100 - w
plug into the area equation to get one equation with two variables
A = w(100 - w)
A = -w^2 + 100w
take the derivative
A' = -2w + 100
set the derivative equal to zero
0 = -2w + 100
2w = 100
w = 50
This is the width that maximizes the area
with a width of 50, the length must also be 50 to have a perimeter of 200
therefore, they can rope up to 50 * 50 = 2500 ft^2
Answer:
y = 4
Step-by-step explanation:
(2/3 + 4) + (-3/2y + 1/3y) = 0
(-3/2y + 1/3y) = -4 2/3
-9/6y + 2/6y = -14/3
-7/6y = -14/3
cross-multiply:
-21y = -84
y = 4
Answer:A
Step-by-step explanation:
You use the equation:
m= (y2-y1) ÷ ( x2-x1)
m= (12-9) ÷ (2-1)
m= 3÷1
m= 3
