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1 year ago

Need help to understand how to do this.

Mathematics

1 answer:

Kobotan [32]1 year ago

8 0

Answer: -1(x+2)^2+10

Step-by-step explanation:

1. The coefficient of -x^2 is just the number in front, which in this case would be a = -1 So now the function is -1(x^2+4x)+6 since negative one has been factored out of the first two terms.

2. Half of the coefficient of x would be 2 since x has a coefficient of 4, and half pf 4 is 2. Squared, it is 4. That will be added inside the bracket. Subtracted on the outside is the same equation but multiplied by a, which we found out was -1 in the beginning. So, the function becomes -1(x^2+4x+4)+6-(-4).

3. Factor the inside equation to find that it’ll become (x+2)^2, and simplify the outside to get 10. The function will now be;

f(x)=-1(x+2)^2+10

Hope that made sense and make sure to check just in case I did the math wrong :]

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AleksAgata [21]

Answer:

81π ft³

Step-by-step explanation:

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2 years ago

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Two boards, one four inches wide and the other six inches wide, are nailed together to form an X. The angle at which they cross

Sunny_sXe [5.5K]

Answer:

The area of the unpainted region on the four inch board = 160·√3 in.²

Step-by-step explanation:

Here we have that the boards are crossing each other on their flat sides Therefore, when the boards are separated, the area of the unpainted region is the area of a parallelogram

The dimensions of the formed parallelogram are;

Interior angles = 60° and 120° (adjacent angles of a parallelogram)

Height, h of parallelogram formed = 4 inches

From the angle of crossing of the parallelogram, we have;

Angle between the width or perpendicular cross section of the 6 inches board and the angle of crossing of the two boards = 90° - 60° = 30°

Therefore, length of base, b of the parallelogram formed by the unpainted region is given as follows;

$b = \frac{60}{cos(30)} = 40\cdot \sqrt{3} \ inches$

Therefore, the area of the parallelogram = b × h = 4 × 40·√3 = 160·√3 in.²

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2 years ago

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Y_Kistochka [10]

No such thing ,But what you can do is is go on Cymath and it will help you solve it

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3 years ago

Gabriele's Pie Shop sold 80 pies last month: 7/10 were apple pies and 1/10 were peach pies. How many pies were neither apple nor

AleksAgata [21]

Answer:

16 pies were neither apple nor peach.

Step-by-step explanation:

8/10, or 4/5 of the 80 apple pies were either apple or peach, which 4/5 of 80 is 64. The remaining pies will be neither apple nor peach. 80 - 64 = 16.

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2 years ago

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Furkat [3]

Answer:

20) 2/32 so colour 2 boxes

21) 7/16

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Step-by-step explanation:

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3 years ago