Answer:
Step-by-step explanation:
you can complete the square or use a calculator online that does it for you.
the equation is in the for y = a(x-h)^2 + k
it should be y = (x + 3)^2 + 3
Answer:
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Step-by-step explanation:
Answer:
(-1, 0)
Step-by-step explanation:
Formula for calculating volume of a cone is:
V = B*H/3
Formula for calculating volume of cylinder is:
V2 = B2*H2
because our cone fits exactly inside cylinder that means that their bases are the same and heights are the same. From this we can conclude (observing formulas for each volume) that cone has 3x less volume than our cylinder.
Cylinder volume is 6*3 = 18 in^3
Problem: 2x^2+3x-9
For a polynomial of the form, ax^2+bx+c rewrite the middle term as the sum of two terms whose product a·c=2·-9=-18 and whose sum is b=3.
Factor 3 out of 3x
2x^2+3(x)-9
Rewrite 3 as -3 plus 6.
2x^2+(-3+6)x-9
Apply the distributive property
2x^2(-3x+6x)-9
Remove the parentheses
2x^2-3x+6x-9
Factor out the greatest common factor from each group
Group the first two terms and the last two terms
(2x^2-3x) (6x-9)
Factor out the greatest common factor in each group.
x(2x-3)+3(2x-3)
Factor the polynomial by factoring out the greatest common factor, 2x-3
(x+3) (2x-3). So, the quotient is 2x-3
