The perimeter is the sum of the outside dimensions.
b1 = 87 - 32 - 14 - 13 = 28 in.
Area = (32 + 28) /2 x 12 = 60/2 x 12 = 30 x 12 = 360 square inches.
Divide area by the amount 1 can covers:
360 / 50 = 7.2 cans, round up to 8 cans are needed.
An alternating series is an infinite series that takes the form:
∑(-1)ⁿa_n
a_n>0 for every value of n. The signs of the general terms alternate between positive and negative.
Thus from the above definition, the series given by <span>2, 3, 6, 8, . . . does not fit the definition of alternating series.</span>
Answer:
11 cents
Step-by-step explanation:
1 penny = 1 cent
1 nickel = 5 cents
2×1 nickel = 10 cents
1 penny + two nickels
= 1 cent + 10 cents
= 11 cents
The vertex is when x=-b/2a, which is also the line of symmetry.
in this case, b=6, a=3, so x=-6/6=-1
when x=-1. y=3-6-1=-4
another way to do it is to write the equation into vertex form by making a square:
3x²+6x-1
3(x²+2x-1/3)
3(x²+2x+1-1-1/3))
3(x²+2x+1-4/3))
notice the bold part makes a square:
3(x+1)²-4
Either way,
the vertex is (-1, -4)
the axis of symmetry is x=-1
the coefficient of x² is 3, a positive number, so this parabola opens upward. the function has a minimum value of y=-4
the range is all real number larger than -4
Answer:
it's 47÷4=11 3/4 will be your final answer
