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lilavasa [31]
2 years ago
13

1 5.2.3 Quiz: Completing the Square

Mathematics
1 answer:
Softa [21]2 years ago
7 0

Answer:

x=5/2 or x=2.5

Step-by-step explanation:

x time 2 + 4x=15

6x=15

2x=15

2x=5

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Given the two functions, which statement is true?
tia_tia [17]

Answer:

Option D

Step-by-step explanation:

f(x) = \text{log}_{15}x

Transformed form of the function 'f' is 'g'.

g(x) = \frac{1}{2}\text{log}_{15}(x+4)

Property of vertical stretch or compression of a function,

k(x) = x

Transformed function → m(x) = kx

Here, k = scale factor

1). If k > 1, function is vertically stretched.

2). If 0 < k < 1, function is vertically compressed.

From the given functions, k = \frac{1}{2}

Since, k is between 0 and \frac{1}{2}, function f(x) is vertically compressed by a scale factor \frac{1}{2}.

g(x) = f(x + 4) represents a shift of function 'f' by 4 units left.

g(x) = f(x - 4) represents a shift of function 'f' by 4 units right.

g(x) = \frac{1}{2}\text{log}_{15}(x+4)

Therefore, function f(x) has been shifted by 4 units left to form image function g(x).

Option D is the answer.

8 0
3 years ago
What is the relationship between the number of vertices in each polygon and the number of isosceles triangles?
melisa1 [442]

no. of vertices = no. of isosceles triangle

5 0
2 years ago
Read 2 more answers
What is the range of the ordered pairs shown in the graph?
Fudgin [204]
We need to see the graph to be able to answer the question
4 0
3 years ago
A linear function that represents the number of hot dogs purchased at a football game is compared to a different linear function
Vsevolod [243]

Answer:

Key features: the functions can not be parallels, this means that their respective slopes can not be equal or multiple to the other

Step-by-step explanation:

Take for instance 2 linear functions,  and

If they intersect in some point in the space, say that is

Then (x1,y1)=(x3,y3), (x2.y2)= (x3,y3)

So, we can compare the two functions and get the following result;

It tells us that if M=m, we get an error, meaning that the functions are in fact parallels and there is no way that they meet in some point.

hope this helps!

5 0
3 years ago
I am a number between 60 and 100.My ones digit is two less than my tens digit
svetlana [45]
Ur answer should be 97
Hope this helps u:)
8 0
3 years ago
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