Answer:
B. 3
Explanation:
2 + 3 = 5
5 + 3 = 8
8 + 3 = 11
This is how you find the common rate between a sequence of numbers. If you find how to get to on number, you see if it works on another, and so on. If it does, that is the rate.
Answer:
112
Step-by-step explanation:
When something is related proportionally, that means that multiply by some value constant k, will result in the output.
Thus, to find k, all you have to do is divide y/x
14/6 = 7/3 = k
kx = y
48*7/3 = y = 112
Answer:
Roots are [4, -14}.
Step-by-step explanation:
1/2 (x+5)^2 + 2 = 42.5
Work out the square of the parentheses:
1/2 ( x^2 + 10x + 25) + 2 = 42.5
Multiply the parentheses by 1/2:
1/2 x^2 + 5x + 12.5 + 2 = 42.5
Subtract 42.5 from both sides of the equation:
1 /2x^2 + 5x +14.5 - 42.5 = 0
Simplify:
1/2 x^2 + 5x - 28 = 0
Multiply through by 2 to get rid of the 1/2:
x^2 + 10x - 56 = 0
Factor:-
(x + 14)(x - 4) = 0
Either x + 14 = 0 giving x = -14.
or x - 4 = 0 giving x = 4.
I think this is what it's asking for...
a) 17 is the total amount ran
5 is the number of miles
x is the hours (which is unknown)
you have to find x. the problem says that there are 5 miles per hour so your x would go with your 5. the 17 stays on the opposite side of the =
17=5x
b) to find the amount of time (x) just solve for x
17=5x is your equation
you now have to isolate the x (do this by dividing 5 on both sides of the equation)
5/x= x alone
17/5=3.4
3.4=x
* remember that x is hours in this problem, so round if you need too