Answer:
( 6(x)² + 12(x) - 90 ) ft³
Explanation:
- <u>deep end water</u>: 2(x)² + 12(x) + 10
- <u>shallow end water</u>: 4(x)² - 100
addition problem: 2(x)² + 12(x) + 10 + 4(x)² - 100
total volume of water:
- 2(x)² + 12(x) + 10 + 4(x)² - 100
- 2(x)² + 4(x)² + 12(x) + 10 - 100
Answer:
y= -1/4x - 5
Step-by-step explanation:
first you need to find the slope.
to do this you can use the equation: change in y/change in x which is also y2 - y1/x2-x1
-8 - (-6)/12-4
-2/8
-1/4 = slope
since the line's equation is y = mx + b, we still need to find the y-intercept. we can do this by just plugging in one of the points
-6 = -1/4(4) + b
-6 = -1 + b
-5 = b
so the final equation is y= -1/4x - 5
Answer:
42
Step-by-step explanation:
there is no parenthesis so all that is left is to add the 2 numbers together
Answer:
97,99,101,103
Step-by-step explanation:
Let x = first odd integer
x+2 = 2nd odd integer
x+4 = 3rd odd integer
x+6 = 4th odd integer
Sum of 4 odd integers is 400
x+ (x+2) + (x+4)+(x+6) = 400
Combine like terms
4x +12 = 400
Subtract 12 from each side
4x+12-12 = 400-12
4x = 388
Divide by 4 on each side
4x/4 = 388/4
x=97
The first integer is 97
The 2nd is 97+2 =99
The third ix 97+4 = 101
The 4th is 97+6 = 103
Answer:
a(10 - 13)
Step-by-step explanation:
The only common factor between these numbers is a, as 10 and 13 do not share factors (13 is prime). We can only factor out a.