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Elena L [17]
3 years ago
13

The graph of y = |x − 3| + 2 is reflected across the y-axis. What is an equation of the reflected graph?

Mathematics
1 answer:
pychu [463]3 years ago
8 0

Answer: A. y = |−x + 3| − 2

Step-by-step explanation:

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In the expression 10^5, what is the Base Number? What is the Exponential Number?
Flauer [41]

Answer:

10 is the base number, and 5 is the exponent

Step-by-step explanation:

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The circumference of a circle is 11pie inches. What is the area, in square inches, of the circle?express answer in terms of pie
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3 years ago
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Use the given zero to find the remaining zeros of each function f(x)=2x^4+5x^3+5x^2+20x-12 zero:-2i
frutty [35]

Answer:

1/2, 3

Step-by-step explanation:

This is a pretty involved problem, so I'm going to start by laying out two facts that our going to help us get there.

  1. The Fundamental Theorem of Algebra tells us that any polynomial has <em>as many zeroes as its degree</em>. Our function f(x) has a degree of 4, so we'll have 4 zeroes. Also,
  2. Complex zeroes come in pairs. Specifically, they come in <em>conjugate pairs</em>. If -2i is a zero, 2i must be a zero, too. The "why" is beyond the scope of this response, but this result is called the "complex conjugate root theorem".

In 2., I mentioned that both -2i and 2i must be zeroes of f(x). This means that both x-2i and x+2i are factors of f(x), and furthermore, their product, x^2+4, is <em>also</em> a factor. To see what's left after we factor out that product, we can use polynomial long division to find that

2x^4+5x^3+5x^2+20x-12=(x^2+4)(2x^2+5x-3)

I'll go through to steps to factor that second expression below:

2x^2+5x-3=2x^2+6x-x-3\\=2x(x+3)-(x+3)\\=(2x-1)(x+3)

Solving both of the expressions when f(x) = 0 gets us our final two zeroes:

2x-1=0\\2x=1\\x=1/2

x+3=0\\x=-3

So, the remaining zeroes are 1/2 and 3.

8 0
3 years ago
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Arthur has 6 more than 5 times the number of pencils as Jenny. If Arthur and Jenny combined have 30 pencils, how many pencils do
Doss [256]

Answer:

4.8

Step-by-step explanation:

4.8x5= 24

24+6= 30

5 times= multiply by 5

6 more= add 6

5 0
3 years ago
Burger town sells cheeseburgers for 7.95 dollars each plus an additional 1.00 for each extra topping, t . Which of the following
Sliva [168]

Answer:

c = 7.95 + (1)t

Step-by-step explanation:

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3 years ago
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