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Zolol [24]
3 years ago
7

What is (f – g)(X); f (x) = x3 – 2x2 + 12x – 6 g(x) = 4x2 - 6x +4

Mathematics
1 answer:
HACTEHA [7]3 years ago
3 0

Step-by-step explanation:

f-g(x)=x³-2x²+12x-6-(4x²-6x+4)

=x³-6x²+18x-10

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Which of the following accurately compares 3 to the square root of 8 and the square root of 82
ArbitrLikvidat [17]
The square root of 82<span> is 9.0553851381374. Or, </span>
√82<span> = 9.0553851381374
I think?</span>
6 0
3 years ago
okay so pretty much I need someone to tell me if the answer is wrong or right and how it is wrong or right and then I need the e
likoan [24]
It is wrong because 14/24 should convert to 1/2 not 7/12
4 0
3 years ago
The roof of a gazebo is a regular octagonal pyramid. If the base of the pyramid has sides of 0.5 meters and the slant height of
Kaylis [27]

Answer:

The area of the roof is 3.80 m².

Step-by-step explanation:

The lateral surface area of an octagonal pyramid is given by:

A = 2s(\sqrt{4h^{2} + 5.828s^{2}})   (1)

Where:

s: is the length of the base edge = 0.5 m

h: is the height                                                                                                      

We can find the height from the slant height (S = 1.9 m):

S = \sqrt{h^{2} + 1.457s^{2}}   (2)

By solving equation (2) for "h" we have:

h = \sqrt{S^{2} - 1.457s^{2}} = \sqrt{(1.9)^{2} - 1.457(0.5)^{2}} = 1.80 m

Now, we can calculate the area of the roof (equation 1):

A = 2s(\sqrt{4h^{2} + 5.828s^{2}}) = 2*0.5(\sqrt{4(1.80)^{2} + 5.828(0.5)^{2}}) = 3.80 m^{2}

Therefore, the area of the roof is 3.80 m².

I hope it helps you!        

8 0
3 years ago
The Williams family wants to cover one wall in their living room with 1-foot square mirror tiles. The wall measures 8 feet by 10
ikadub [295]

Answer:80 mirror tiles will be needed to cover the wall is 80

Step-by-step explanation:

The dimension of one wall in living room is 8 feet by 10 feet. The wall is rectangular in shape. The area of a rectangle is expressed as

Length × width. The area of one wall in the living room would be

8 × 10 = 80 feet^2

The Williams family wants to cover one wall in their living room with 1-foot square mirror tiles.

The number of mirror tiles that they will need to cover the wall would be

80/1 = 80 mirror tiles.

3 0
3 years ago
Write Y=x^2+18x+90 In vertex form
Elena-2011 [213]

Answer:

y = (x + 9)² + 9

Step-by-step explanation:

the equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

given a parabola in standard form : ax² + bx + c : a ≠ 0

the the x-coordinate of the vertex is

x_{vertex} = - \frac{b}{2a}

y = x² + 18x + 90 is in standard form

with a = 1, b= 18 and c = 90

x_{vertex} = - \frac{18}{2} = - 9

to find the corresponding y-coordinate substitute x = - 9 into the equation

y = (- 9)² + 18(- 9) + 90 = 81 - 162 + 90 = 9

⇒ y = (x + 9)² + 9 ← in vertex form


6 0
3 years ago
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