9514 1404 393
Answer:
13/18
Step-by-step explanation:
5 of the 18 students have a cat, so 13 of them do not.
The probability that a student in the group does not have a cat is 13/18.
A) Sonya has the most amount of money in her savings bank.
b) Aisha has the leased amount of money in her savings bank
Answer: and
Step-by-step explanation:
To find the inverse, we will set f(x) equal to y, swap the x and y values, and then solve for y.
Given:
f(x) = x² - 25
Equal to y:
y = x² - 25
Swamp x and y values:
x = y² - 25
Add 25 to both sides of the equation:
y² = x + 25
Square root both sides of the equation:
and
Interval notation:
The volume of the box is L * W * H = 1680
Let the width be W. But Height, H, = W + 7 and Length, L, = 2W - 2
So we have (2W - 2) * W * (W + 7) = 1680
So we have (2W^2 - 2W)(W + 7) = 1680
2W^3 - 2W^2 + 14W^2 - 14W = 1680
2W^3 + 12W^2 - 14W = 1680
W^3 + 6W^2 - 7W = 840
W^3 + 6W^2 - 7W - 840 = 0
Let f(w) = W^3 + 6W^2 - 7W - 840
The root of the polynomial occurs when f(w) = 0
So by trial and error let w = 8
Then we have 8^3 + 6(8)^2 - 7(8) - 840 = 0
Hence w = 8 is a root of the equation.
So we divide our polynomial by the root to obtain other roots, I.e W^3 + 6W^2
- 7W - 840 divide by w- 8. Doing this we have w = 15 and W = 14.
Hence the dimensions of the box is 8 * 15 * 14
A= c+4+12
a= c+16
a+c= c+16+c+16-16= 2c+16