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sergejj [24]
1 year ago
7

The graph of function g(x) is a transformation of the graph of function f(x) = x2.g(x) =

Mathematics
1 answer:
mariarad [96]1 year ago
6 0

Given:

The graph of function g(x) is a transformation of the graph of function f(x) = x²

As shown: the graph of g(x) is open down

So, we will reflect f(x) over the x-axis, the function will be ⇒ -x²

And there is horizontal compression so, the factor of compression will be > 1

So, the function will be ⇒ -2x²

Finally, there is a vertical shift down 3 units

So,

g(x)=-2x^2-3

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Listed below are the numbers of hurricanes that occurred in each year in a certain region. The data are listed in order by year.
Schach [20]

Answer: C. The measures of variation reveal nothing about the pattern over time.

Step-by-step explanation:

Given the following :

10 17 10 16 11 3 8 5 4 4 17 5 8 17

Range of hurricane data = 16

The standard deviation of sample data = 5.5 hurricanes

The variance of the sample data is 30.3 hurricane^2.

The measures of variation described above only shows the spread of the hurricane such as the range, that is the highest and lowest recorded.

The variance explains how spread out the data is and the standard deviation explains how values of a data differs from the mean value. The data fails to give time related information or pattern.

6 0
2 years ago
What is the unknown value representing the unit rate
andreev551 [17]

unknown value of what mate

4 0
3 years ago
00:00
lara [203]

Answer:

It will take 39.27 gallons to repaint the barn.

Step-by-step explanation:

The image of the setup is obtained from online and attached to this solution.

The rectangular prism is a cuboid of

Length = 84 ft

Breadth = 38 ft

Height = 20 ft

And the triangular prism on top of the rectangular prism has a vertical height of 12 ft.

The surface area of the composite structure that is available for painting include the 4 sides of the top triangular prism and the four sides of rectangular prism

Two of the faces of the triangular prism are triangles with base of 38 ft and height of 12 ft.

The other two faces of the triangular prism are rectangles with length 84 ft and breadth of the hypoteneuse of the right angled triangle on top.

B² = 12² + 19²

B = 22.47 ft

Total Surface area of the faces of the rectangular prism is then

2×(84×20) + 2×(38×20) = 4880 ft²

Total surface area of the faces of the triangular prism is then

2×(0.5×12×38) + 2×(84×22.47) = 4,230.96 ft²

Total surface area = 4880 + 4230.96 = 9110.96 ft²

1 gallon of paint = 232 ft²

x gallons of paint = 9110.96 ft²

x = (1×9110.96/232) = 39.27 gallons.

Hope this Helps!!!

5 0
3 years ago
PLEASE HELP ME!!!!!!!!!!!!!!!!!!
lilavasa [31]

Answer:

a) 4 - vt - d = \frac{1}{2} at^{2}

b) 1 - 2(vt - d) = at^{2}

c) 6 - \frac{2(vt - d)}{t^{2}} = a

Step-by-step explanation:

It simply asks the steps to go from the original displacement formula to isolate a (the acceleration).  It's just a matter of moving items around.

We start with:

d = vt - \frac{1}{2} at^{2}

We then move the vt part on the left side, then multiply each side by -1 (to get rid of the negative on the at side and to match answer choice #4):

vt - d = \frac{1}{2} at^{2}

Then we multiply each side by 2 to get rid of the 1/2, answer #1:

2(vt - d) = at^{2}

Finally, we divide each side by t^2 to isolate a (answer #6):

\frac{2(vt - d)}{t^{2}} = a

4 0
3 years ago
WILL GAVE BRAINLIST!! Use the zero product proper to find the solutions to the equation x^2-x-6=0
Kruka [31]
(x-3)(x+2)=0

x= 3 and x= -2
5 0
2 years ago
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