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kramer
2 years ago
5

The function f(x)=x2-12+5 written in vertex form is f(x)=(x-6)2-31 what are the coordinates of the vertex

Mathematics
1 answer:
ivann1987 [24]2 years ago
3 0

\bf ~~~~~~\textit{parabola vertex form} \\\\ \begin{array}{llll} y=a(x- h)^2+ k\\\\ x=a(y- k)^2+ h \end{array} \qquad\qquad vertex~~(\stackrel{}{ h},\stackrel{}{ k}) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ f(x)=x^2-12x+5~\hfill f(x)=(x-\stackrel{h}{6})^2\stackrel{k}{-31}~\hfill \stackrel{vertex}{(6,-31)}

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The price of a coat was reduced from $40 to $30. By what percentage was the price of the coat reduced?
Liula [17]

Answer:

The percentage that the coat was reduced is 25%.

Step-by-step explanation:

A percentage is always out of a factor of 100.

40 x 2.5 = 100

30 x 2.5 = 75

75/100 = 3/4

1/4 is missing, which is the percentage.

1/4 = 0.25, or 25%

Hope This Helps!

4 0
2 years ago
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Explain how to solve 5^(x-2)=8 using log base b of y equals log y over log b. include the solution for x in your answer. round y
miskamm [114]

The value of x will be equal to 2.477.

<h3>What is a logarithm?</h3>

The logarithm is the inverse function of exponentiation in mathematics. That is, the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised in order to obtain that number x.

The given expression will be solved as follows;-

5^{x-2}= 8

Taking Log on both sides.

Log_e 5^{x-2}=Log_e8

(x-2) Log5 = Log 8

( x-2) = Log8 / Log 5

(x - 2) = Log 8 - Log 5

(x - 2 ) = Log 3

x-2 = 0.477

x  =  2.477

Therefore the value of x will be equal to 2.477.

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5 0
1 year ago
The circle graph below represents the opinions of 100 students about their favorite sports. Each student chose exactly one of th
bagirrra123 [75]

Answer:

Yo…what’s the graph?

Step-by-step explanation:

8 0
2 years ago
X-1=y what is the answer plz give me the answer
guajiro [1.7K]

Answer:

<h2>X = 0</h2><h2>Y = 1</h2>

First of all, observe that this is a line, since you can rewrite the equation as y−x+1=0 , which follows the pattern of the generic line ax+by+c=0 .

To draw a line you need two of its points, which you can connect.

To find two points, you can plug any value for one variable, and solve for the other.

For example, let's choose

x=0 . The equation becomes

0−1=y , and so y=−1 .

The first point is thus (0,−1).

Then, let's choose

x=1 . The equation becomes 1−1=y , and so y=0 . The first point is thus

(1,0).

Now you only need to draw the points

(0,−1)

Step-by-step explanation:

Hope it is helpful...

6 0
2 years ago
Stanley ran a 5 kilometer race in 30 minutes. what was his speed in kilometers per hour? round to the nearest tenth
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so 10 kilometers per hour is his speed
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