Answer:
4 : 25
Step-by-step explanation:
Given the ratio of 2 similar figures = a : b, then
ratio of areas = a² : b²
Given the similarity ratio = 2 : 5, then
ratio of areas = 2² : 5² = 4 : 25
Complete the table of values for the function f(x) = (1/3)x for a, b, and c. x : -2, -1, 0, 1, 2. f(x) : a, b, c, 1/3, 1/9
balu736 [363]
Given:
The function is
To find:
The missing values for a, b, and c in the given table.
Solution:
We have,
At x=-2,
![\left[\because \left(\dfrac{a}{b}\right)^{-n}=\left(\dfrac{b}{a}\right)^{n}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbecause%20%5Cleft%28%5Cdfrac%7Ba%7D%7Bb%7D%5Cright%29%5E%7B-n%7D%3D%5Cleft%28%5Cdfrac%7Bb%7D%7Ba%7D%5Cright%29%5E%7Bn%7D%5Cright%5D)
At x=-1,
At x=0,
![\left[\because a^0=1, a\neq 0\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbecause%20a%5E0%3D1%2C%20a%5Cneq%200%5Cright%5D)
Therefore, the missing values of a,b and c are 9, 3, and 1 respectively.
1)
2(a + 3) = -12
Divide by 2
a + 3 = -6
Subtract 3
a = -9
2)
3(p + 2) = 18
Divide by 3
p + 2 = 6
Subtract 2
p = 4
3)
4(2r + 8) = 88
Dive by 4
2r + 8 = 22
Subtract 8
2r = 14
Divide by 2
r = 7
4)
2(3a + 2) = -8
Divide by 2
3a + 2 = -4
Subtract 2
3a = -6
Divide by 3
a = -2
5)
4(k + 3) = 4
Divide by 4
k + 3 = 1
Subtract 3
k = -2
The answer is a 40% discount because it costs $24 less than the original price and 24 divided by 60 is .4 or 40%!
Answer:
4 women doctors
Step-by-step explanation:
because if 24 are men or doctor the 4 gotta be women doctor
