Answer: f(x) = -3x + 1
So the slope is -3 and the y-intercept is 1
Step-by-step explanation:
This is because it’s across the y-axis so the y-intercept doesn’t change. Because it’s a reflection the slope just becomes the opposite of what it originally was, so in this case it will be -3
Given:
The largest circle has a radius of R=7 units.
Let x be the radius of the large shaded circle.
The small shaded circles have a radius of 1/5 of the large shaded circle.
=> the small shaded circles have a radius of r=x/5
By adding up radii, we have the equation
2(r+x+r)=2(x/5+x+x/5)=2R=2*7=14
Simplify:
7x/5=14/2
x=5
=> r=1
Area of outer circle =

Area of large shaded circle =

Area of 4 small shaded circles =

Total area of shaded circles =

Shaded area as a fraction of that of the outer circle
Answer:
$2.25
Step-by-step explanation:
Let "b" be the price of 1 brownie and "c" the price of 1 cookie.
At a bake sale, a student spent $11.00 buying 3 brownies and 5 cookies. Symbolicaly,
3 b + 5 c = 11.00 [1]
His friend spent $3.95 buying 1 brownie and 2 cookies. Symbolicaly,
1 b + 2 c = 3.95
b = 3.95 - 2c [2]
If we replace [2] in [1], we get
3 (3.95 - 2c) + 5 c = 11.00
11.85 - 6c + 5c = 11.00
c = 0.85
If we replace c = 0.85 in [2], we get
b = 3.95 - 2 (0.85) = 2.25
Answer:
The total amount of lawns to be mowed would be 20 in 35 hours.
Step-by-step explanation:
It takes an hour and 45 minutes to mow one lawn. When you multiply the 7 hours by 5 you get 35 hours. Same thing if you multiply the 4 lawns by 5 you get 20 lawns.