Answer: $1.15
Step-by-step explanation:
The question is How much did each roll of crepe paper cost?
Let the cost of crepe paper be x
Let the cost of balloons be y.
Six rolls of crepe paper and 20 balloons cost $11.90. This will be:
6x + 20y = 11.90 ......... i
2 more rolls of crepe paper and 15 more balloons for $6.05. This will be:
2x + 15y = 6.05 ......... ii
6x + 20y = 11.90 ......... i
2x + 15y = 6.05 ......... ii
Multiply equation i by 15
Multiply equation ii by 20
90x + 300y = 178.50 ........ iii
40x + 300y = 121 ........ iv
Subtract iv from iii
50x = 57.50
x = 57.50/50
x = 1.15
Therefore, a crepe paper cost $1.15
Answer:
f(x) = 4*(x+2)*(x-4) factorized formula
f(x) = 4x^2 - 8x - 32 polynomical formula
Step-by-step explanation:
Lets assume the factorized formula of a quadratic function:
f(x) = a*(x-x1)^2 * (x-x2)^2
where "a" is a coefficient and x1, x2 are the roots of the function. Then replacing the given roots:
f(x) = a*(x+2)*(x-4)
because its told us that -36 is the minimum value of the function we can say that its concave, then this value is actually the component in the Y axis of the vertex. To find the component in the X axis of the vertex we have to make the adding between the roots and divide this value by 2, this last is because a quadratic function is a symetrical function. Lets call the component at the X axis of the vertex as Xv, then:
Xv=(x1+x2)/2
Xv=(-2+4)/2
Xv=1
Therefore now we have a point of the function and its P=(1,-36) this point is the vertex of the function too.
Now the last thing to do is to find the value of the coefficient "a". We can find it by replacing the point of the vertex obtained before.
-36 = a*(1+2)*(1-4)
-36 = a*(3)*(-3)
-36 = a*(-9)
4 = a
Finally the equation is:
f(x) = 4*(x+2)*(x-4)
if we expand this function we find the polynomical form of this function
f(x) = 4x^2 - 8x - 32
Answer:
True.
Step-by-step explanation:
m = (3 - 3) / (6 - 5)
m = 0
1 / 1.36 = 180,000 / x.....1 euro to 1.36 dollars = 180,000 euro to x dollars
cross multiply
x = 1.36(180,000)
x = 244,800 per year......365 days in a year
244,800 / 365 = 670.68 per day
