Answer:
21 N
Step-by-step explanation:
let mass be m and weight be w
Given w varies directly with m then the equation relating them is
w = km ← k is the constant of variation
To find k use the condition m = 7 , w = 49 , then
49 = 7k ( divide both sides by 7 )
7 = k
w = 7m ← equation of variation
When m = 3 , then
w = 7 × 3 = 21 N
The <u><em>correct answer</em></u> is:
15 weeks
Explanation:
Let w be the number of weeks. Bill weighs 150 pounds and wants to gain 2 lbs per week; this gives us the expression 150+2w for Bill.
Jamal weighs 195 and wants to lose 1 pound per week; this gives us the expression 195-1w for Jamal.
To determine how many weeks it will take them to weigh the same, we set the two expressions equal:
150+2w=195-1w
Add 1w to each side:
150+2w+1w = 195-1w+1w
150+3w = 195
Subtract 150 from each side:
150+3w-150 = 195-150
3w = 45
Divide each side by 3:
3w/3 = 45/3
w = 15
Answer:
f(x) = (-1/2)(x^2 + 8x - 15)
Step-by-step explanation:
This function has two roots: -3 and 5. Most likely it is a quadratic (all of which have two roots).
Then f(x) = a(x + 3)(x - 5)
The graph goes through (1. 8): Therefore, y = 8 when x = 1:
f(1) = a(1 + 3)(1 - 5) = 8, or
a(4)(-4) = 8, or
-16a = 8, which leads to a = -1/2.
Thus the quadratic in question is f(x) = (-1/2)(x + 3)(x - 5), or
f(x) = (-1/2)(x^2 + 8x - 15)
The 4 is the constant term.
Answer:
257 students in the lower school
Step-by-step explanation:
you want to make the fractions have an equal denominator so make 1/3 5/15s and 2/5 to 6/15's, 5+6= 11/15s that leaves 4/15's for the lower part of the school
4 divided by 15 is 4.6 repeating so divide 1200 by 4.66 and boom
