Answer:
Quotient = x² + x + 3
Reminder = 10
Step-by-step explanation:
We need to divide , x³ - 4x² - 2x - 5 by x - 5
x - 5) x³ - 4x² - 2x - 5 ( x² + x + 3
- x³ -(+)5 x²
_______________
0 + x² - 2x - 5
x² -5x
__________________
0 +3x - 5
+3x -15
__________________
+10
Jacob wants to build a rectangular enclosure for his animals. One side of the pen will be against the barn,so he needs no fence on that side.
Let w be the width of the enclosure (perpendicular to the barn) and let l be the length of the enclosure (parallel to the barn).
one side of the length is not counted for perimeter because one side of length will be against the barn.
Perimeter = 400 ft
Perimeter of rectangle = L + W + W
400 = L + 2W
L = 400 - 2W
Area = L * W
Replace L by 400 - 2W
A(W) = (400 - 2W) * W

Now we find out x coordinate of vertex to find the width that maximize the area

a= -2 and b = 400

The width w would maximize the area is w = 100ft
To find maximum area we plug in 100 for W in A(W)


the maximum area is 20,000 square feet
Answer:
a=15
Step-by-step explanation:
Solve for a by simplifying both sides of the equation, then isolating the variable.
Answer:

Step-by-step explanation:
Given:
First Number = 97
Second Number = 
We need to find the product of two numbers in Scientific notation.
Product of two numbers means we need to multiply two number.
Also The proper format for scientific notation is a x 10^b where a is a number or decimal number such that the absolute value of a is less than ten and is greater than or equal to one or, 1 ≤ |a| < 10. b is the power of 10 such that the scientific notation is mathematically equivalent to the original number.
Decimal points are moved until there is only one non-zero digit to the left of the decimal point. The decimal number results as a.
Number of decimal point moved needs to be counted. This number is b.
If decimal are moved to the left b is positive.
If decimal are moved to the right b is negative.
If decimal are not moved b = 0.
scientific notation of a number can be written as a x 10^b and read it as "a times 10 to the power of b."
Hence the product is;

Expressing in Scientific Notation form we get

Hence the Answer is
.