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baherus [9]
2 years ago
12

Three functions are given below: f(x), g(x), and h(x). Find the axis of symmetry for each function, and rank the functions based

on their axis of symmetry (from smallest to largest). Show your work for OR explain how you found each axis of symmetry.
f(x) = -4(x − 8)2 + 3
g(x) = 2x2 − 16x + 15
h(x)= the picture

Mathematics
1 answer:
m_a_m_a [10]2 years ago
3 0

Answer:

Step-by-step explanation:

f(x)=-4(x-2)²+3

put x-2=0

axis of symmetry is x=2

g(x)=-2(x²+8x)+15

=-2(x²+8x+4²-4²)+15

=-2(x+4)²+32+15

=-2(x+4)²+47

put x+4=0

axis of symmetry is x=-4

h(x) is minimum at x=1

axis of symmetry is x=1

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A store sold 70 hammers and ranchers Hammer sold for $10 each in French so for five dollars each a total of 600.00 what's the co
MrMuchimi

Answer:

50 hammers and 20 wrenches.

Step-by-step explanation:

Let x represent number of hammers and y represent number of ranchers.

We have been given that a store sold 70 hammers and ranchers. We can represent this information in an equation as:

x+y=70...(1)

We are also told that each hammer sold for $10 and each rancher sold for five dollars resulting a total of 600.00. We can represent this information in an equation as:

10x+5y=600...(2)

From equation (1), we will get:

x=70-y

Substituting this value in equation (2), we will get:

700-10y+5y=600

700-5y=600

700-700-5y=600-700

-5y=-100

\frac{-5y}{-5}=\frac{-100}{-5}

y=20

Therefore, 20 wrenches were sold.

Now, we will substitute y=20 in equation (1) as:

x+20=70

x+20-20=70-20

x=50

Therefore, 50 hammers were sold.

5 0
3 years ago
Which functions could represent a reflection over the y axis of the given function
fredd [130]

Answer:

g(x) = 1/2*(4)^(–x)          and

g(x) =1/2*(1/4)^(x)

Please, see attached picture.

Step-by-step explanation:

Your full question is attached in the picture below

To easily solve this problem, we can graph each equation and see, which one represents a reflection of the function over the y axis.

See, second image.

The answers are

g(x) = 1/2*(4)^(–x)          and

g(x) =1/2*(1/4)^(x)

4 0
2 years ago
Subtract. 6 1/3 − 4 1/9 <--- Subtract A. 2 7/9 B. 2 5/9 C. 2 4/9 D . 2 2/9
sertanlavr [38]

Your answer ---> D . 2 2/9

3 0
3 years ago
If you were to plot a graph of the profit generated by this book, what would the slope and the y-intercept represent?
mojhsa [17]
What is the book? Show an image please.. I would love to help!
7 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=Compare%20%5C%3A%20the%20%5C%3A%20graphs%20%5C%3A%20of%20%5C%5C%205x%20-%20y%20%3D%2012%20%5C%
fenix001 [56]

Answer:

<u>Given</u>

  • Equation 5x - y = 12

and

  • Inequality 5x - y > 12

<em>See the graphs attached</em>

To draw the graphs follow the rules we described in the previous questions.

  • 1. Identify x-intercept and y-intercept and connect them to have the line.
  • 2. Shade the region above or below the line for the inequality.

We see the only difference the expressions have is the equation or inequality symbols.

  • Equation symbol means the graph of the equation is a line.
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We can state that the inequality excludes the line and includes only the region above the same line.

5 0
3 years ago
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