Answer: B. -(x-2)^2 + 3
The vertex of the parabola is (2,3) so we can plug in those values into the equation for vertex form. And the parabola is facing down, so we know the function is multiplied by -1.
Therefore the equation is -(x-2)^2 + 3
Look at the attached image to see what vertex form is
All of these numbers are making me crazy
Let the first integer be x. Then the next consecutive integer is x+1.
Translating the word problem into symbols, x(x+1)-20(x+1) = 442.
Then x^2 + x - 20x - 20 = 442
or x^2 - 19x - 462 = 0
Solve by completing the square:
x^2 - 19x + 90.25 - 90.25 - 462 = 0
(x-9.5)^2 - 552.25 = 0
Taking the positive square root of both sides, we get x-9.5 = 23.5, or
x = 33
The two consecutive integers are 33 and 34.
Check: (33)(34)-20(34) = 442 (as expected).
The answer is: "11 %" .
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There is 11% of fruit in the cake.
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Explanation:
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275g is what percent of 2.5 kg?
First, convert "275 g" into "kg".
Note the exact conversion: 1000 g = 1 kg .
So 275 g = (275/1000) kg = 0.275 kg .
0.275 kg = (n/100) * 2.5 kg ;
→ (n/100) * 2.5 = 0.275 ;
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Divide each side by "(2.5)"
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→ (n/100) = (0.275) / (2.5) ;
→ (n/100) = 0.11 ;
Multiply each side by "100" ;
n = 11 .
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The answer is: 11 % .
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