Answer:
13, 14, 15
Step-by-step explanation:
Let x = age of one of the siblings
Since the age of the siblings are consecutive integers, the age of the next sibling would be x + 1 and the age of the third sibling would be x + 2
x +( x +1) + (x +2) = 42
3x + 3 = 42
collect like terms and solve for x
x = 13
The age of the first sibling is 13
The age of the second sibling is x + 1 = 13 + 1 = 14
The age of the third sibling is x + 2 = 13 + 2 = 15
Answer:
89
Step-by-step explanation:
Answer:
<em>18 hours after 10 AM</em>
Step-by-step explanation:
- We are looking for the time the helicopter and the plane will be the same distance from Burbank after 10 AM.
- We are given the two equations for the distance that the helicopter and the plane are away, in miles.
- It also says that R is the variable for time.
- Using this information, we need to solve for the time with broth equations, so we would set both up to be equal to each other, since they will be the same distance away from each other.
- It would look like this: -150r + 260 = -270r + 440.
- Add 150r to both sides.
- 260 = -10r + 440.
- Add -10r to both sides.
- Now we have 10r + 260 = 440
- Subtract 260 from both sides.
- 10r = 180
- Divide each side by 10 to isolate the R.
- R = 18.
- It would be 18 hours after 10 AM.
If I am incorrect in my reasoning, please let me know so that I can plan better for my future answers. Have an amazing day.
Answer:
f(x) = x³+2x²-16x-32
Step-by-step explanation:
f(x) = 0 when x = -4, -2, 4
So these are the roots
Factors are (x+4)(x+2)(x-4)
f(x) = [(x+4)(x-4)](x+2)
f(x) = (x²-16)(x+2)
f(x) = x³+2x²-16x-32
Answer:
75
Step-by-step explanation:
x = 5
Input 5 into the f(x) equation.
f(5) = 3(5)²
f(5) = 3 × 25
f(5) = 75
Hope that helps.
