First find the critical points of <em>f</em> :
so the point (1, 0) is the only critical point, at which we have
Next check for critical points along the boundary, which can be found by converting to polar coordinates:
Find the critical points of <em>g</em> :
where <em>n</em> is any integer. We get 4 critical points in the interval [0, 2π) at
So <em>f</em> has a minimum of -7 and a maximum of 299.
Answer: The y-intercept is (0, 17)
Step-by-step explanation:
When the slope is given and there is a coordinate given to pass through, Substitute the numbers in the given coordinates for y and x in the slope-intercept equation and solve for b.
y=−3x+b
2 = -3(5) + b
2 = -15 +b
15 + 2 = b
b= 17 . b is the y-intercept.
From the graph, you can see that the line passes through the given (5,2)
C= 2pi
15= diameter. Radius= 15/2. R= 7.5
C= 2 times pi times 7.2
C=15 pi
C= 47.1
Answer:
2x + 4y = 110
Step-by-step explanation:
Let
The quantity of small tables = x
The quantity of large tables = y
The smaller tables can fit 2 people, the larger tables can seat 4 people.
Equation that describes the relationship between the quantity of small tables and the quantity of large tables, assuming exactly 110 people need seats.
Number of people×quantity (small table) + number of people×quantity (large table) = 110
2x + 4y = 110
Using distributive property, factor out the coomon term to get the equivalent expression
<em><u>Solution:</u></em>
Let us first understand about distributive property
The distributive property lets you multiply a sum by multiplying each addend separately and then add the products.
The distributive property can be represented as:
a(b + c) = ab + bc
Let us consider a expression
30 + 5x
We have to write a equivalent expression
Use the distributive property
30 = 6 x 5
Thus 30 + 5x becomes,
Factor out 5 from above expression
Thus, equivalent expression is 5(6 + x) for 30 + 5x